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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SYN036-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:35:31 PM UTC 2026

% Result   : Unsatisfiable 2.21s 1.95s
% Output   : CNFRefutation 2.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_101,negated_conjecture,
    ( big_p(X1)
    | big_p(f3(X1))
    | big_q(c14)
    | big_p(X2)
    | big_q(f4(X3))
    | big_q(X3)
    | big_p(c19)
    | big_q(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_101) ).

cnf(clause_5,negated_conjecture,
    ( big_p(X1)
    | big_p(f1(X1))
    | big_p(X3)
    | big_q(c8)
    | big_p(c9)
    | big_q(X5)
    | ~ big_q(X2)
    | ~ big_q(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_53,negated_conjecture,
    ( big_p(c3)
    | big_q(c4)
    | big_p(X2)
    | big_q(c8)
    | big_p(c9)
    | big_q(X4)
    | ~ big_p(X1)
    | ~ big_q(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_53) ).

cnf(clause_49,negated_conjecture,
    ( big_p(c3)
    | big_q(c4)
    | big_p(X2)
    | big_q(f2(X3))
    | big_q(X3)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_p(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_49) ).

cnf(clause_97,negated_conjecture,
    ( big_p(X1)
    | big_p(f3(X1))
    | big_q(c14)
    | big_p(X2)
    | big_q(c16)
    | big_q(X5)
    | ~ big_q(X3)
    | ~ big_p(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_97) ).

cnf(clause_81,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | big_q(c16)
    | big_q(X6)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_81) ).

cnf(clause_83,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | big_q(X4)
    | big_q(X6)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_q(c16)
    | ~ big_p(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_83) ).

cnf(clause_7,negated_conjecture,
    ( big_p(X1)
    | big_p(f1(X1))
    | big_p(X3)
    | big_q(X4)
    | big_p(c9)
    | big_q(X5)
    | ~ big_q(X2)
    | ~ big_q(c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

cnf(clause_85,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | big_q(f4(X4))
    | big_q(X4)
    | big_p(c19)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_q(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_85) ).

cnf(clause_4,negated_conjecture,
    ( big_p(X1)
    | big_p(f1(X1))
    | big_p(X3)
    | big_p(c6)
    | ~ big_q(X2)
    | ~ big_q(f2(X4))
    | ~ big_q(X4)
    | ~ big_q(c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

cnf(clause_88,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_q(f4(X4))
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_q(c20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_88) ).

cnf(clause_65,negated_conjecture,
    ( big_p(X1)
    | big_p(X3)
    | big_q(c16)
    | big_q(X6)
    | ~ big_p(c11)
    | ~ big_q(X2)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_65) ).

cnf(clause_67,negated_conjecture,
    ( big_p(X1)
    | big_p(X3)
    | big_q(X4)
    | big_q(X6)
    | ~ big_p(c11)
    | ~ big_q(X2)
    | ~ big_q(c16)
    | ~ big_p(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_67) ).

cnf(clause_72,negated_conjecture,
    ( big_p(X1)
    | big_p(X3)
    | ~ big_p(c11)
    | ~ big_q(X2)
    | ~ big_q(f4(X4))
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_q(c20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_72) ).

cnf(clause_33,negated_conjecture,
    ( big_p(X1)
    | big_q(c4)
    | big_p(X2)
    | big_q(f2(X3))
    | big_q(X3)
    | big_q(X5)
    | ~ big_p(c3)
    | ~ big_p(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).

cnf(clause_25,negated_conjecture,
    ( big_q(c1)
    | big_q(f2(X2))
    | big_q(X2)
    | big_q(X4)
    | ~ big_p(X1)
    | ~ big_p(f1(X1))
    | ~ big_p(c2)
    | ~ big_p(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).

cnf(clause_121,negated_conjecture,
    ( big_q(c16)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_p(f3(X1))
    | ~ big_q(X2)
    | ~ big_p(c15)
    | ~ big_q(X3)
    | ~ big_p(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_121) ).

cnf(clause_123,negated_conjecture,
    ( big_q(X3)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_p(f3(X1))
    | ~ big_q(X2)
    | ~ big_p(c15)
    | ~ big_q(c16)
    | ~ big_p(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_123) ).

cnf(clause_128,negated_conjecture,
    ( ~ big_p(X1)
    | ~ big_p(f3(X1))
    | ~ big_q(X2)
    | ~ big_p(c15)
    | ~ big_q(f4(X3))
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_q(c20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_128) ).

cnf(c_0_19,negated_conjecture,
    ( big_p(X1)
    | big_p(f3(X1))
    | big_q(c14)
    | big_p(X2)
    | big_q(f4(X3))
    | big_q(X3)
    | big_p(c19)
    | big_q(X4) ),
    clause_101 ).

cnf(c_0_20,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(c14)
    | big_q(X1)
    | big_p(f3(X2))
    | big_p(c19)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_19]) ).

cnf(c_0_21,negated_conjecture,
    ( big_p(X1)
    | big_p(f1(X1))
    | big_p(X3)
    | big_q(c8)
    | big_p(c9)
    | big_q(X5)
    | ~ big_q(X2)
    | ~ big_q(X4) ),
    clause_5 ).

cnf(c_0_22,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(c14)
    | big_q(X1)
    | big_p(f3(X2))
    | big_p(c19)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    ( big_q(c14)
    | big_q(c8)
    | big_p(f3(X1))
    | big_p(f1(X2))
    | big_p(c19)
    | big_p(c9)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_21]),c_0_21]) ).

cnf(c_0_24,negated_conjecture,
    ( big_q(c8)
    | big_q(c14)
    | big_p(f3(X1))
    | big_p(f1(X2))
    | big_p(f3(X3))
    | big_p(c9)
    | big_p(c19)
    | big_p(X1)
    | big_p(X4)
    | big_p(X2)
    | big_p(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_22]),c_0_23]) ).

cnf(c_0_25,negated_conjecture,
    ( big_p(c3)
    | big_q(c4)
    | big_p(X2)
    | big_q(c8)
    | big_p(c9)
    | big_q(X4)
    | ~ big_p(X1)
    | ~ big_q(X3) ),
    clause_53 ).

cnf(c_0_26,negated_conjecture,
    ( big_q(c14)
    | big_q(c8)
    | big_p(f3(X1))
    | big_p(f1(X2))
    | big_p(c19)
    | big_p(c9)
    | big_p(X2)
    | big_p(X3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    ( big_q(c14)
    | big_q(c4)
    | big_q(c8)
    | big_p(f3(X1))
    | big_p(c19)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_22]),c_0_25]),c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    ( big_q(c8)
    | big_q(c14)
    | big_p(f3(X1))
    | big_p(f1(X2))
    | big_p(c9)
    | big_p(c19)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    ( big_q(c8)
    | big_q(c4)
    | big_q(c14)
    | big_p(f3(X1))
    | big_p(f3(X2))
    | big_p(c9)
    | big_p(c3)
    | big_p(c19)
    | big_p(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_27]),c_0_27]),c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    ( big_p(c3)
    | big_q(c4)
    | big_p(X2)
    | big_q(f2(X3))
    | big_q(X3)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_p(X4) ),
    clause_49 ).

cnf(c_0_31,negated_conjecture,
    ( big_q(c14)
    | big_q(c4)
    | big_q(c8)
    | big_p(f3(X1))
    | big_p(c19)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c8)
    | big_q(c14)
    | big_q(c4)
    | big_q(X1)
    | big_q(X2)
    | big_p(c19)
    | big_p(c3)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_30]),c_0_30]),c_0_30]) ).

cnf(c_0_33,negated_conjecture,
    ( big_p(X1)
    | big_p(f3(X1))
    | big_q(c14)
    | big_p(X2)
    | big_q(c16)
    | big_q(X5)
    | ~ big_q(X3)
    | ~ big_p(X4) ),
    clause_97 ).

cnf(c_0_34,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(c14)
    | big_q(c8)
    | big_q(X2)
    | big_q(X1)
    | big_p(c3)
    | big_p(c19) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_31]),c_0_32]),c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    ( big_q(c14)
    | big_q(c16)
    | big_q(X1)
    | big_p(f3(X2))
    | big_p(f3(X3))
    | big_p(c19)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_22]),c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | big_q(c16)
    | big_q(X6)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    clause_81 ).

cnf(c_0_37,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c8)
    | big_q(c14)
    | big_q(c4)
    | big_q(X1)
    | big_p(c19)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    ( big_q(c8)
    | big_q(c16)
    | big_q(c14)
    | big_q(X1)
    | big_p(f3(X2))
    | big_p(f3(X3))
    | big_p(f3(X4))
    | big_p(c19)
    | big_p(X3)
    | big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_28]),c_0_35]),c_0_35]),c_0_35]),c_0_35]) ).

cnf(c_0_39,negated_conjecture,
    ( big_q(c8)
    | big_q(c16)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X1)
    | ~ big_q(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_36]),c_0_36]),c_0_36]),c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    ( big_q(c14)
    | big_q(c16)
    | big_q(c8)
    | big_q(X1)
    | big_p(f3(X2))
    | big_p(f3(X3))
    | big_p(c19)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    ( big_q(c16)
    | big_q(c8)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X1)
    | ~ big_p(X2)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_37]),c_0_39]),c_0_39]),c_0_39]) ).

cnf(c_0_42,negated_conjecture,
    ( big_q(c8)
    | big_q(c16)
    | big_q(c14)
    | big_q(X1)
    | big_p(f3(X2))
    | big_p(c19)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_40]) ).

cnf(c_0_43,negated_conjecture,
    ( big_q(c14)
    | big_q(c8)
    | big_q(c16)
    | big_p(f1(X1))
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | ~ big_p(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_28]),c_0_41]),c_0_41]),c_0_41]),c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    ( big_q(c14)
    | big_q(c8)
    | big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    ( big_q(c16)
    | big_q(c8)
    | big_q(c14)
    | big_q(X1)
    | big_p(f1(X2))
    | big_p(c11)
    | big_p(c19)
    | big_p(c3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_42]),c_0_44]) ).

cnf(c_0_46,negated_conjecture,
    ( big_q(c16)
    | big_q(c8)
    | big_q(c14)
    | big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X3) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_47,negated_conjecture,
    ( big_q(c14)
    | big_q(c8)
    | big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_46]) ).

cnf(c_0_48,negated_conjecture,
    ( big_q(c14)
    | big_q(c16)
    | big_q(c8)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_47]) ).

cnf(c_0_49,negated_conjecture,
    ( big_q(c16)
    | big_q(c8)
    | big_p(f1(X1))
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(c9)
    | big_p(X2)
    | big_p(X1)
    | big_p(X3)
    | ~ big_q(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_48]),c_0_21]) ).

cnf(c_0_50,negated_conjecture,
    ( big_q(c8)
    | big_q(c16)
    | big_p(f1(X1))
    | big_p(c9)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | big_p(X1)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_49,c_0_48]) ).

cnf(c_0_51,negated_conjecture,
    ( big_q(c16)
    | big_q(c8)
    | big_p(f1(X1))
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(c9)
    | big_p(X2)
    | big_p(X1)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_50]) ).

cnf(c_0_52,negated_conjecture,
    ( big_q(c8)
    | big_q(c16)
    | big_p(f1(X1))
    | big_p(c9)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X2)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_51]) ).

cnf(c_0_53,negated_conjecture,
    ( big_q(c16)
    | big_q(c8)
    | big_p(f1(X1))
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(c9)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_52]) ).

cnf(c_0_54,negated_conjecture,
    ( big_q(c8)
    | big_q(c16)
    | big_p(c9)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | ~ big_p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_53]),c_0_41]),c_0_41]) ).

cnf(c_0_55,negated_conjecture,
    ( big_q(c16)
    | big_q(c8)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(c9) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_53]),c_0_54]) ).

cnf(c_0_56,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | big_q(X4)
    | big_q(X6)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_q(c16)
    | ~ big_p(X5) ),
    clause_83 ).

cnf(c_0_57,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_p(f1(X2))
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(c9)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4) ),
    inference(spm,[status(thm)],[c_0_21,c_0_55]) ).

cnf(c_0_58,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_q(X2)
    | big_p(c9)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_56,c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_p(f1(X2))
    | big_p(c9)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X3)
    | big_p(X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(c9)
    | big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[c_0_58,c_0_55]) ).

cnf(c_0_61,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_p(f1(X2))
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(c9)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_59]) ).

cnf(c_0_62,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(c9)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_60]) ).

cnf(c_0_63,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_q(X4)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(c9)
    | big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_61]),c_0_62]) ).

cnf(c_0_64,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(c9)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_63]) ).

cnf(c_0_65,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(c9)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_64]) ).

cnf(c_0_66,negated_conjecture,
    ( big_q(c8)
    | big_q(X1)
    | big_p(c9)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_65]) ).

cnf(c_0_67,negated_conjecture,
    ( big_p(X1)
    | big_p(f1(X1))
    | big_p(X3)
    | big_q(X4)
    | big_p(c9)
    | big_q(X5)
    | ~ big_q(X2)
    | ~ big_q(c8) ),
    clause_7 ).

cnf(c_0_68,negated_conjecture,
    ( big_q(c8)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(c9)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_66]) ).

cnf(c_0_69,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(f1(X3))
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(c9)
    | big_p(X4)
    | big_p(X3)
    | big_p(X5)
    | ~ big_q(X6) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_70,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(f1(X3))
    | big_p(c9)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X4)
    | big_p(X5)
    | big_p(X3)
    | big_p(X6) ),
    inference(spm,[status(thm)],[c_0_69,c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    ( big_q(X1)
    | big_p(f1(X2))
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(c9)
    | big_p(X3)
    | big_p(X2)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[c_0_70]) ).

cnf(c_0_72,negated_conjecture,
    ( big_q(X1)
    | big_p(f1(X2))
    | big_p(c9)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_71]) ).

cnf(c_0_73,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | big_q(f4(X4))
    | big_q(X4)
    | big_p(c19)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_q(X2) ),
    clause_85 ).

cnf(c_0_74,negated_conjecture,
    ( big_q(X1)
    | big_p(f1(X2))
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(c9)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_72]) ).

cnf(c_0_75,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_22]),c_0_41]),c_0_73]),c_0_73]) ).

cnf(c_0_76,negated_conjecture,
    ( big_q(X1)
    | big_p(f1(X2))
    | big_p(c9)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_74]) ).

cnf(c_0_77,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(c16)
    | big_q(X2)
    | big_q(X1)
    | big_p(c9)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_75]),c_0_75]) ).

cnf(c_0_78,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(c9) ),
    inference(ef,[status(thm)],[c_0_77]) ).

cnf(c_0_79,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_78]),c_0_36]) ).

cnf(c_0_80,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(c9)
    | big_p(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_78]),c_0_79]) ).

cnf(c_0_81,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(f2(X2))
    | big_q(c14)
    | big_q(c4)
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(c19)
    | big_p(c3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_22]),c_0_30]),c_0_30]) ).

cnf(c_0_82,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_q(X2)
    | big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_76]),c_0_80]) ).

cnf(c_0_83,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(f2(X2))
    | big_q(f4(X3))
    | big_q(c4)
    | big_q(c14)
    | big_q(X1)
    | big_q(X4)
    | big_q(X2)
    | big_q(X3)
    | big_p(c3)
    | big_p(c19) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_22]),c_0_81]) ).

cnf(c_0_84,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(c9)
    | big_p(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_76]),c_0_82]) ).

cnf(c_0_85,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(f2(X2))
    | big_q(c14)
    | big_q(c4)
    | big_q(X2)
    | big_q(X3)
    | big_q(X1)
    | big_p(c19)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_83]) ).

cnf(c_0_86,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_q(X2)
    | big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_84]) ).

cnf(c_0_87,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(f2(X2))
    | big_q(c4)
    | big_q(c14)
    | big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c19) ),
    inference(ef,[status(thm)],[c_0_85]) ).

cnf(c_0_88,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(c9)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_86]) ).

cnf(c_0_89,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(f4(X2))
    | big_q(X2)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_87]),c_0_73]),c_0_73]),c_0_73]),c_0_73]),c_0_73]) ).

cnf(c_0_90,negated_conjecture,
    ( big_q(c16)
    | big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_88]) ).

cnf(c_0_91,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(f4(X2))
    | big_q(X3)
    | big_q(X1)
    | big_p(c9)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_76]),c_0_89]),c_0_89]) ).

cnf(c_0_92,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c19)
    | big_p(c9)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_56,c_0_90]) ).

cnf(c_0_93,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(c9) ),
    inference(ef,[status(thm)],[c_0_91]) ).

cnf(c_0_94,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_92,c_0_90]) ).

cnf(c_0_95,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(X1)
    | big_p(c9)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_93]) ).

cnf(c_0_96,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(c3)
    | big_p(c19)
    | big_p(c9)
    | big_p(c11)
    | big_p(X4)
    | big_p(X5)
    | big_p(X6)
    | ~ big_p(X7) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_76]),c_0_94]) ).

cnf(c_0_97,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(c11)
    | big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_95]),c_0_96]) ).

cnf(c_0_98,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_q(X4)
    | big_p(c3)
    | big_p(c19)
    | big_p(c9)
    | big_p(c11)
    | big_p(X5)
    | big_p(X6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_76]),c_0_97]) ).

cnf(c_0_99,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_q(X3)
    | big_p(c11)
    | big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[c_0_98]) ).

cnf(c_0_100,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c19)
    | big_p(c9)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_99]) ).

cnf(c_0_101,negated_conjecture,
    ( big_q(X1)
    | big_p(c11)
    | big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_100]) ).

cnf(c_0_102,negated_conjecture,
    ( big_p(X1)
    | big_p(f1(X1))
    | big_p(X3)
    | big_p(c6)
    | ~ big_q(X2)
    | ~ big_q(f2(X4))
    | ~ big_q(X4)
    | ~ big_q(c7) ),
    clause_4 ).

cnf(c_0_103,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(c19)
    | big_p(c9)
    | big_p(c11)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_101]) ).

cnf(c_0_104,negated_conjecture,
    ( big_p(f1(X1))
    | big_p(c11)
    | big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(c6)
    | big_p(X2)
    | big_p(X1)
    | big_p(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_103]),c_0_103]),c_0_103]) ).

cnf(c_0_105,negated_conjecture,
    ( big_p(c11)
    | big_p(X3)
    | ~ big_p(X1)
    | ~ big_q(X2)
    | ~ big_q(f4(X4))
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_q(c20) ),
    clause_88 ).

cnf(c_0_106,negated_conjecture,
    ( big_p(f1(X1))
    | big_p(c6)
    | big_p(c3)
    | big_p(c19)
    | big_p(c9)
    | big_p(c11)
    | big_p(X2)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_104]) ).

cnf(c_0_107,negated_conjecture,
    ( big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_103]),c_0_103]),c_0_103]),c_0_103]) ).

cnf(c_0_108,negated_conjecture,
    ( big_p(f1(X1))
    | big_p(c11)
    | big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(c6)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_106]) ).

cnf(c_0_109,negated_conjecture,
    ( big_p(c6)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(c9)
    | big_p(X1)
    | ~ big_p(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_107]),c_0_107]) ).

cnf(c_0_110,negated_conjecture,
    ( big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(c6)
    | big_p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_108]),c_0_109]) ).

cnf(c_0_111,negated_conjecture,
    ( big_p(c6)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(c9) ),
    inference(ef,[status(thm)],[c_0_110]) ).

cnf(c_0_112,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(f4(X2))
    | big_q(c14)
    | big_q(c16)
    | big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_22]),c_0_75]) ).

cnf(c_0_113,negated_conjecture,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(c9)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[c_0_107,c_0_111]) ).

cnf(c_0_114,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(c16)
    | big_q(c14)
    | big_q(X1)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_112]) ).

cnf(c_0_115,negated_conjecture,
    ( big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[c_0_113,c_0_111]) ).

cnf(c_0_116,negated_conjecture,
    ( big_q(c14)
    | big_q(c16)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_114]),c_0_36]),c_0_36]) ).

cnf(c_0_117,negated_conjecture,
    ( big_p(c9)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_115]) ).

cnf(c_0_118,negated_conjecture,
    ( big_q(c16)
    | big_q(c14)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_114]),c_0_116]) ).

cnf(c_0_119,negated_conjecture,
    ( big_p(c9)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11) ),
    inference(ef,[status(thm)],[c_0_117]) ).

cnf(c_0_120,negated_conjecture,
    ( big_q(c14)
    | big_q(c16)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_121,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(f4(X2))
    | big_q(X1)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X3) ),
    inference(spm,[status(thm)],[c_0_89,c_0_119]) ).

cnf(c_0_122,negated_conjecture,
    ( big_q(c16)
    | big_q(c14)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(spm,[status(thm)],[c_0_120,c_0_119]) ).

cnf(c_0_123,negated_conjecture,
    ( big_q(f4(X1))
    | big_q(X1)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_121]) ).

cnf(c_0_124,negated_conjecture,
    ( big_q(c14)
    | big_q(c16)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_122]) ).

cnf(c_0_125,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_123]),c_0_36]) ).

cnf(c_0_126,negated_conjecture,
    ( big_q(c16)
    | big_q(c14)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_124]) ).

cnf(c_0_127,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_128,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[c_0_127,c_0_119]) ).

cnf(c_0_129,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_128,c_0_119]) ).

cnf(c_0_130,negated_conjecture,
    ( big_q(c16)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_129]) ).

cnf(c_0_131,negated_conjecture,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_130]) ).

cnf(c_0_132,negated_conjecture,
    ( big_q(c16)
    | big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_131]) ).

cnf(c_0_133,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_56,c_0_132]) ).

cnf(c_0_134,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_133,c_0_132]) ).

cnf(c_0_135,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_134,c_0_119]) ).

cnf(c_0_136,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(spm,[status(thm)],[c_0_135,c_0_119]) ).

cnf(c_0_137,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_136]) ).

cnf(c_0_138,negated_conjecture,
    ( big_q(X1)
    | big_p(c11)
    | big_p(c19)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_137]) ).

cnf(c_0_139,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_138]) ).

cnf(c_0_140,negated_conjecture,
    ( big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_139]),c_0_139]),c_0_139]),c_0_139]) ).

cnf(c_0_141,negated_conjecture,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[c_0_140,c_0_119]) ).

cnf(c_0_142,negated_conjecture,
    ( big_p(c19)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[c_0_141,c_0_119]) ).

cnf(c_0_143,negated_conjecture,
    ( big_p(c19)
    | big_p(c11)
    | big_p(c3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_142]) ).

cnf(c_0_144,negated_conjecture,
    ( big_p(c19)
    | big_p(c3)
    | big_p(c11) ),
    inference(ef,[status(thm)],[c_0_143]) ).

cnf(c_0_145,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c3)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_144]),c_0_30]) ).

cnf(c_0_146,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X2)
    | big_q(X1)
    | big_p(c3)
    | big_p(c11) ),
    inference(spm,[status(thm)],[c_0_145,c_0_144]) ).

cnf(c_0_147,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_146]) ).

cnf(c_0_148,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | ~ big_q(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_147]),c_0_36]),c_0_36]) ).

cnf(c_0_149,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(X1)
    | ~ big_p(X2)
    | ~ big_p(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_147]),c_0_148]) ).

cnf(c_0_150,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | ~ big_p(X2) ),
    inference(spm,[status(thm)],[c_0_149,c_0_144]) ).

cnf(c_0_151,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(X1) ),
    inference(spm,[status(thm)],[c_0_150,c_0_144]) ).

cnf(c_0_152,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_36,c_0_151]) ).

cnf(c_0_153,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_152,c_0_151]) ).

cnf(c_0_154,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[c_0_153,c_0_144]) ).

cnf(c_0_155,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_154,c_0_144]) ).

cnf(c_0_156,negated_conjecture,
    ( big_q(c16)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_155]) ).

cnf(c_0_157,negated_conjecture,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_156]) ).

cnf(c_0_158,negated_conjecture,
    ( big_q(c16)
    | big_p(c3)
    | big_p(c11)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_157]) ).

cnf(c_0_159,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_56,c_0_158]) ).

cnf(c_0_160,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_159,c_0_158]) ).

cnf(c_0_161,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_160,c_0_144]) ).

cnf(c_0_162,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(spm,[status(thm)],[c_0_161,c_0_144]) ).

cnf(c_0_163,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_162]) ).

cnf(c_0_164,negated_conjecture,
    ( big_q(X1)
    | big_p(c11)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_163]) ).

cnf(c_0_165,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(c11)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_164]) ).

cnf(c_0_166,negated_conjecture,
    ( big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_165]),c_0_165]),c_0_165]),c_0_165]) ).

cnf(c_0_167,negated_conjecture,
    ( big_p(c11)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[c_0_166,c_0_144]) ).

cnf(c_0_168,negated_conjecture,
    ( big_p(c3)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[c_0_167,c_0_144]) ).

cnf(c_0_169,negated_conjecture,
    ( big_p(c11)
    | big_p(c3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_168]) ).

cnf(c_0_170,negated_conjecture,
    ( big_p(c11)
    | big_p(c3) ),
    inference(ef,[status(thm)],[c_0_169]) ).

cnf(c_0_171,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[c_0_30,c_0_170]) ).

cnf(c_0_172,negated_conjecture,
    ( big_p(X1)
    | big_p(X3)
    | big_q(c16)
    | big_q(X6)
    | ~ big_p(c11)
    | ~ big_q(X2)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    clause_65 ).

cnf(c_0_173,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X2)
    | big_q(X1)
    | big_p(c3)
    | big_p(X3) ),
    inference(spm,[status(thm)],[c_0_171,c_0_170]) ).

cnf(c_0_174,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_172,c_0_170]) ).

cnf(c_0_175,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_173]) ).

cnf(c_0_176,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_174]),c_0_174]) ).

cnf(c_0_177,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_175]),c_0_176]) ).

cnf(c_0_178,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_177,c_0_170]) ).

cnf(c_0_179,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_178]) ).

cnf(c_0_180,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_179]) ).

cnf(c_0_181,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_180]) ).

cnf(c_0_182,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_174,c_0_181]) ).

cnf(c_0_183,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_182,c_0_181]) ).

cnf(c_0_184,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(spm,[status(thm)],[c_0_183,c_0_170]) ).

cnf(c_0_185,negated_conjecture,
    ( big_q(c16)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_184]) ).

cnf(c_0_186,negated_conjecture,
    ( big_q(c16)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_185]) ).

cnf(c_0_187,negated_conjecture,
    ( big_q(c16)
    | big_p(c3)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_186]) ).

cnf(c_0_188,negated_conjecture,
    ( big_p(X1)
    | big_p(X3)
    | big_q(X4)
    | big_q(X6)
    | ~ big_p(c11)
    | ~ big_q(X2)
    | ~ big_q(c16)
    | ~ big_p(X5) ),
    clause_67 ).

cnf(c_0_189,negated_conjecture,
    ( big_q(c16)
    | big_p(c3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_187]) ).

cnf(c_0_190,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_q(X6)
    | ~ big_p(X7) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_170]) ).

cnf(c_0_191,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_190,c_0_189]) ).

cnf(c_0_192,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c3)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | big_p(X6) ),
    inference(spm,[status(thm)],[c_0_191,c_0_170]) ).

cnf(c_0_193,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[c_0_192]) ).

cnf(c_0_194,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_193]) ).

cnf(c_0_195,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_194]) ).

cnf(c_0_196,negated_conjecture,
    ( big_p(X1)
    | big_p(X3)
    | ~ big_p(c11)
    | ~ big_q(X2)
    | ~ big_q(f4(X4))
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_q(c20) ),
    clause_72 ).

cnf(c_0_197,negated_conjecture,
    ( big_q(X1)
    | big_p(c3)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_195]) ).

cnf(c_0_198,negated_conjecture,
    ( big_p(c3)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_170]),c_0_197]),c_0_197]),c_0_197]) ).

cnf(c_0_199,negated_conjecture,
    ( big_p(c3)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(spm,[status(thm)],[c_0_198,c_0_170]) ).

cnf(c_0_200,negated_conjecture,
    ( big_p(c3)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_199]) ).

cnf(c_0_201,negated_conjecture,
    ( big_p(c3)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_200]) ).

cnf(c_0_202,negated_conjecture,
    ( big_p(X1)
    | big_q(c4)
    | big_p(X2)
    | big_q(f2(X3))
    | big_q(X3)
    | big_q(X5)
    | ~ big_p(c3)
    | ~ big_p(X4) ),
    clause_33 ).

cnf(c_0_203,negated_conjecture,
    big_p(c3),
    inference(ef,[status(thm)],[c_0_201]) ).

cnf(c_0_204,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_203])]) ).

cnf(c_0_205,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X2)
    | big_q(X1)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_204,c_0_203]) ).

cnf(c_0_206,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_205]) ).

cnf(c_0_207,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c4)
    | big_q(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_206]) ).

cnf(c_0_208,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_207]),c_0_36]),c_0_36]) ).

cnf(c_0_209,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_207]),c_0_208]) ).

cnf(c_0_210,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(spm,[status(thm)],[c_0_209,c_0_203]) ).

cnf(c_0_211,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(spm,[status(thm)],[c_0_210,c_0_203]) ).

cnf(c_0_212,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_211]) ).

cnf(c_0_213,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_212]) ).

cnf(c_0_214,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_36,c_0_213]) ).

cnf(c_0_215,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_214,c_0_213]) ).

cnf(c_0_216,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(spm,[status(thm)],[c_0_215,c_0_203]) ).

cnf(c_0_217,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_216,c_0_203]) ).

cnf(c_0_218,negated_conjecture,
    ( big_q(c16)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_217]) ).

cnf(c_0_219,negated_conjecture,
    ( big_q(c16)
    | big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_218]) ).

cnf(c_0_220,negated_conjecture,
    ( big_q(c16)
    | big_p(c11)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_219]) ).

cnf(c_0_221,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_56,c_0_220]) ).

cnf(c_0_222,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_221,c_0_220]) ).

cnf(c_0_223,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_222,c_0_203]) ).

cnf(c_0_224,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(c11)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(spm,[status(thm)],[c_0_223,c_0_203]) ).

cnf(c_0_225,negated_conjecture,
    ( big_q(X1)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_224]) ).

cnf(c_0_226,negated_conjecture,
    ( big_q(X1)
    | big_p(c11)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_225]) ).

cnf(c_0_227,negated_conjecture,
    ( big_q(X1)
    | big_p(c11)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_226]) ).

cnf(c_0_228,negated_conjecture,
    ( big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_227]),c_0_227]),c_0_227]),c_0_227]) ).

cnf(c_0_229,negated_conjecture,
    ( big_p(c11)
    | big_p(X1)
    | big_p(X2)
    | ~ big_p(X3) ),
    inference(spm,[status(thm)],[c_0_228,c_0_203]) ).

cnf(c_0_230,negated_conjecture,
    ( big_p(c11)
    | big_p(X1)
    | big_p(X2) ),
    inference(spm,[status(thm)],[c_0_229,c_0_203]) ).

cnf(c_0_231,negated_conjecture,
    ( big_p(c11)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_230]) ).

cnf(c_0_232,negated_conjecture,
    big_p(c11),
    inference(ef,[status(thm)],[c_0_231]) ).

cnf(c_0_233,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_232])]) ).

cnf(c_0_234,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_207]),c_0_233]),c_0_233]) ).

cnf(c_0_235,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_p(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_207]),c_0_234]) ).

cnf(c_0_236,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(spm,[status(thm)],[c_0_235,c_0_232]) ).

cnf(c_0_237,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_236]) ).

cnf(c_0_238,negated_conjecture,
    ( big_q(c4)
    | big_q(c16)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_237]) ).

cnf(c_0_239,negated_conjecture,
    ( big_q(c16)
    | big_q(c4)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_238]) ).

cnf(c_0_240,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_233,c_0_239]) ).

cnf(c_0_241,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_p(X6) ),
    inference(spm,[status(thm)],[c_0_240,c_0_239]) ).

cnf(c_0_242,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(spm,[status(thm)],[c_0_241,c_0_232]) ).

cnf(c_0_243,negated_conjecture,
    ( big_q(c16)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_242]) ).

cnf(c_0_244,negated_conjecture,
    ( big_q(c16)
    | big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_243]) ).

cnf(c_0_245,negated_conjecture,
    ( big_q(c16)
    | big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_244]) ).

cnf(c_0_246,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | ~ big_q(c16)
    | ~ big_q(X5)
    | ~ big_p(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_232])]) ).

cnf(c_0_247,negated_conjecture,
    ( big_q(c16)
    | big_p(X1) ),
    inference(ef,[status(thm)],[c_0_245]) ).

cnf(c_0_248,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | ~ big_q(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_249,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | big_p(X6)
    | ~ big_p(X7) ),
    inference(spm,[status(thm)],[c_0_248,c_0_247]) ).

cnf(c_0_250,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5)
    | big_p(X6) ),
    inference(spm,[status(thm)],[c_0_249,c_0_232]) ).

cnf(c_0_251,negated_conjecture,
    ( big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4)
    | big_p(X5) ),
    inference(ef,[status(thm)],[c_0_250]) ).

cnf(c_0_252,negated_conjecture,
    ( big_q(X1)
    | big_p(X2)
    | big_p(X3)
    | big_p(X4) ),
    inference(ef,[status(thm)],[c_0_251]) ).

cnf(c_0_253,negated_conjecture,
    ( big_q(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(ef,[status(thm)],[c_0_252]) ).

cnf(c_0_254,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | ~ big_q(f4(X3))
    | ~ big_q(c20)
    | ~ big_q(X3)
    | ~ big_q(X4)
    | ~ big_p(X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_232])]) ).

cnf(c_0_255,negated_conjecture,
    ( big_q(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_253]) ).

cnf(c_0_256,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(X3)
    | ~ big_p(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_255]),c_0_255]),c_0_255]) ).

cnf(c_0_257,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(X3) ),
    inference(spm,[status(thm)],[c_0_256,c_0_232]) ).

cnf(c_0_258,negated_conjecture,
    ( big_p(X1)
    | big_p(X2) ),
    inference(ef,[status(thm)],[c_0_257]) ).

cnf(c_0_259,negated_conjecture,
    ( big_q(c1)
    | big_q(f2(X2))
    | big_q(X2)
    | big_q(X4)
    | ~ big_p(X1)
    | ~ big_p(f1(X1))
    | ~ big_p(c2)
    | ~ big_p(X3) ),
    clause_25 ).

cnf(c_0_260,negated_conjecture,
    big_p(X1),
    inference(ef,[status(thm)],[c_0_258]) ).

cnf(c_0_261,negated_conjecture,
    ( big_q(c16)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_p(f3(X1))
    | ~ big_q(X2)
    | ~ big_p(c15)
    | ~ big_q(X3)
    | ~ big_p(X4) ),
    clause_121 ).

cnf(c_0_262,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c1)
    | big_q(X1)
    | big_q(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_260]),c_0_260]),c_0_260]),c_0_260])]) ).

cnf(c_0_263,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | ~ big_q(X2)
    | ~ big_q(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_261,c_0_260]),c_0_260]),c_0_260]),c_0_260])]) ).

cnf(c_0_264,negated_conjecture,
    ( big_q(f2(X1))
    | big_q(c1)
    | big_q(X1) ),
    inference(ef,[status(thm)],[c_0_262]) ).

cnf(c_0_265,negated_conjecture,
    ( big_q(c1)
    | big_q(c16)
    | ~ big_q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_263]),c_0_263]) ).

cnf(c_0_266,negated_conjecture,
    ( big_q(c16)
    | big_q(c1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_264]),c_0_265]) ).

cnf(c_0_267,negated_conjecture,
    ( big_q(c16)
    | big_q(X1)
    | ~ big_q(X2) ),
    inference(spm,[status(thm)],[c_0_263,c_0_266]) ).

cnf(c_0_268,negated_conjecture,
    ( big_q(X3)
    | big_q(X5)
    | ~ big_p(X1)
    | ~ big_p(f3(X1))
    | ~ big_q(X2)
    | ~ big_p(c15)
    | ~ big_q(c16)
    | ~ big_p(X4) ),
    clause_123 ).

cnf(c_0_269,negated_conjecture,
    ( big_q(c16)
    | big_q(X1) ),
    inference(spm,[status(thm)],[c_0_267,c_0_266]) ).

cnf(c_0_270,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | ~ big_q(c16)
    | ~ big_q(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_260]),c_0_260]),c_0_260]),c_0_260])]) ).

cnf(c_0_271,negated_conjecture,
    big_q(c16),
    inference(ef,[status(thm)],[c_0_269]) ).

cnf(c_0_272,negated_conjecture,
    ( ~ big_p(X1)
    | ~ big_p(f3(X1))
    | ~ big_q(X2)
    | ~ big_p(c15)
    | ~ big_q(f4(X3))
    | ~ big_q(X3)
    | ~ big_p(X4)
    | ~ big_q(c20) ),
    clause_128 ).

cnf(c_0_273,negated_conjecture,
    ( big_q(X1)
    | big_q(X2)
    | ~ big_q(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_271])]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ big_q(f4(X1))
    | ~ big_q(c20)
    | ~ big_q(X1)
    | ~ big_q(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_260]),c_0_260]),c_0_260]),c_0_260])]) ).

cnf(c_0_275,negated_conjecture,
    ( big_q(X1)
    | big_q(X2) ),
    inference(spm,[status(thm)],[c_0_273,c_0_271]) ).

cnf(c_0_276,negated_conjecture,
    big_q(X1),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_275]),c_0_275]),c_0_275]) ).

cnf(c_0_277,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_276]),c_0_276]),c_0_276]),c_0_276])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SYN036-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32  % Computer : n016.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Tue May  5 08:05:51 EDT 2026
% 0.14/0.32  % CPUTime    : 
% 0.14/0.33  % start to proof: theBenchmark
% 2.21/1.95  % Version  : CSE_E---1.7
% 2.21/1.95  % Problem  : theBenchmark.p
% 2.21/1.95  % SZS status Unsatisfiable for theBenchmark.p
% 2.21/1.95  % SZS output start CNFRefutation
% See solution above
% 2.21/1.96  % Total time : 1.371s
%------------------------------------------------------------------------------