%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN036-4 : 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 : n025.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 05:35:51 PM UTC 2026
% Result : Unsatisfiable 1.28s 1.73s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of clauses : 89 ( 7 unt; 55 nHn; 27 RR)
% Number of literals : 347 ( 0 equ; 160 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 168 ( 109 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_16,negated_conjecture,
( p(cx)
| ~ p(X1)
| ~ q(cw)
| ~ q(X2)
| ~ q(fz5(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
cnf(clause_3,negated_conjecture,
( p(cx)
| q(X2)
| ~ p(X1)
| ~ q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_4,negated_conjecture,
( p(cx)
| q(cw)
| ~ p(X1)
| ~ q(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_6,negated_conjecture,
( q(cw)
| ~ p(cx)
| ~ p(X1)
| ~ p(fy5(X1))
| ~ q(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_2,negated_conjecture,
( p(X2)
| q(cw)
| ~ p(cx)
| ~ q(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_7,negated_conjecture,
( p(X2)
| ~ p(cx)
| ~ q(cw)
| ~ q(X1)
| ~ q(fz5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_1,negated_conjecture,
( p(X1)
| q(X2)
| ~ p(cx)
| ~ q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_5,negated_conjecture,
( q(X2)
| ~ p(cx)
| ~ p(X1)
| ~ p(fy5(X1))
| ~ q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_17,negated_conjecture,
( p(cx)
| q(X3)
| q(fz5(X3))
| ~ p(X1)
| ~ q(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
cnf(clause_14,negated_conjecture,
( p(X3)
| p(fy5(X3))
| q(cw)
| ~ p(X1)
| ~ q(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
cnf(clause_23,negated_conjecture,
( ~ p(cx)
| ~ p(X1)
| ~ p(fy5(X1))
| ~ q(cw)
| ~ q(X2)
| ~ q(fz5(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
cnf(clause_20,negated_conjecture,
( p(cx)
| p(X2)
| p(fy(X2))
| q(cw)
| ~ q(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
cnf(clause_32,negated_conjecture,
( p(cx)
| p(X1)
| p(fy5(X1))
| q(cw)
| q(X2)
| q(fz5(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
cnf(clause_31,negated_conjecture,
( p(cx)
| p(X2)
| p(fy5(X2))
| q(cw)
| ~ q(X1)
| ~ q(fz5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
cnf(clause_15,negated_conjecture,
( p(cx)
| q(cw)
| q(X2)
| q(fz(X2))
| ~ p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
cnf(clause_10,negated_conjecture,
( p(X1)
| q(cw)
| q(X2)
| q(fz(X2))
| ~ p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_21,negated_conjecture,
( q(cw)
| ~ p(cx)
| ~ p(X1)
| ~ p(fy(X1))
| ~ q(X2)
| ~ q(fz(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
cnf(clause_22,negated_conjecture,
( q(cw)
| q(X2)
| q(fz(X2))
| ~ p(cx)
| ~ p(X1)
| ~ p(fy(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
cnf(clause_19,negated_conjecture,
( p(cx)
| p(X1)
| p(fy(X1))
| q(X2)
| ~ q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
cnf(clause_30,negated_conjecture,
( p(cx)
| p(X2)
| p(fy(X2))
| ~ q(cw)
| ~ q(X1)
| ~ q(fz(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
cnf(clause_11,negated_conjecture,
( p(X2)
| q(X3)
| ~ p(X1)
| ~ p(fy(X1))
| ~ q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
cnf(clause_24,negated_conjecture,
( p(cx)
| ~ p(X1)
| ~ p(fy(X1))
| ~ q(cw)
| ~ q(X2)
| ~ q(fz(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
cnf(c_0_22,negated_conjecture,
( p(cx)
| ~ p(X1)
| ~ q(cw)
| ~ q(X2)
| ~ q(fz5(X2)) ),
clause_16 ).
cnf(c_0_23,negated_conjecture,
( p(cx)
| q(X2)
| ~ p(X1)
| ~ q(cw) ),
clause_3 ).
cnf(c_0_24,negated_conjecture,
( p(cx)
| q(cw)
| ~ p(X1)
| ~ q(X2) ),
clause_4 ).
cnf(c_0_25,negated_conjecture,
( q(cw)
| ~ p(cx)
| ~ p(X1)
| ~ p(fy5(X1))
| ~ q(X2) ),
clause_6 ).
cnf(c_0_26,negated_conjecture,
( p(X2)
| q(cw)
| ~ p(cx)
| ~ q(X1) ),
clause_2 ).
cnf(c_0_27,negated_conjecture,
( p(X2)
| ~ p(cx)
| ~ q(cw)
| ~ q(X1)
| ~ q(fz5(X1)) ),
clause_7 ).
cnf(c_0_28,negated_conjecture,
( p(X1)
| q(X2)
| ~ p(cx)
| ~ q(cw) ),
clause_1 ).
cnf(c_0_29,negated_conjecture,
( q(X2)
| ~ p(cx)
| ~ p(X1)
| ~ p(fy5(X1))
| ~ q(cw) ),
clause_5 ).
cnf(c_0_30,negated_conjecture,
( p(cx)
| q(X3)
| q(fz5(X3))
| ~ p(X1)
| ~ q(X2) ),
clause_17 ).
cnf(c_0_31,negated_conjecture,
( p(cx)
| ~ q(fz5(X1))
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( p(X3)
| p(fy5(X3))
| q(cw)
| ~ p(X1)
| ~ q(X2) ),
clause_14 ).
cnf(c_0_33,negated_conjecture,
( q(cw)
| ~ q(X1)
| ~ p(fy5(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_25,c_0_26]),c_0_24]) ).
cnf(c_0_34,negated_conjecture,
( ~ p(cx)
| ~ p(X1)
| ~ p(fy5(X1))
| ~ q(cw)
| ~ q(X2)
| ~ q(fz5(X2)) ),
clause_23 ).
cnf(c_0_35,negated_conjecture,
( p(X1)
| ~ q(fz5(X2))
| ~ p(cx) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_27,c_0_28]),c_0_26]) ).
cnf(c_0_36,negated_conjecture,
( q(X1)
| ~ q(cw)
| ~ p(fy5(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_29,c_0_28]),c_0_23]) ).
cnf(c_0_37,negated_conjecture,
( p(cx)
| p(X2)
| p(fy(X2))
| q(cw)
| ~ q(X1) ),
clause_20 ).
cnf(c_0_38,negated_conjecture,
( p(cx)
| p(X1)
| p(fy5(X1))
| q(cw)
| q(X2)
| q(fz5(X2)) ),
clause_32 ).
cnf(c_0_39,negated_conjecture,
( q(X1)
| p(cx)
| ~ q(X2)
| ~ p(X3) ),
inference(csr,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( p(cx)
| p(X2)
| p(fy5(X2))
| q(cw)
| ~ q(X1)
| ~ q(fz5(X1)) ),
clause_31 ).
cnf(c_0_41,negated_conjecture,
( q(cw)
| p(X1)
| ~ q(X2)
| ~ p(X3) ),
inference(csr,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_42,negated_conjecture,
( ~ q(fz5(X1))
| ~ p(fy5(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_34,c_0_35]),c_0_31]),c_0_36]),c_0_33]) ).
cnf(c_0_43,negated_conjecture,
( q(cw)
| p(fy(X1))
| ~ q(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_37,c_0_24]),c_0_26]) ).
cnf(c_0_44,negated_conjecture,
( q(cw)
| p(fy5(X1))
| p(cx)
| p(X1)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_38]),c_0_39]) ).
cnf(c_0_45,negated_conjecture,
( q(cw)
| ~ q(fz5(X1))
| ~ q(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_40,c_0_31]),c_0_41]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( q(cw)
| q(X1)
| p(fy5(X2))
| p(cx)
| p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_44]) ).
cnf(c_0_47,negated_conjecture,
( p(cx)
| q(cw)
| q(X2)
| q(fz(X2))
| ~ p(X1) ),
clause_15 ).
cnf(c_0_48,negated_conjecture,
( q(cw)
| p(fy5(X1))
| p(cx)
| p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_46]) ).
cnf(c_0_49,negated_conjecture,
( p(X1)
| q(cw)
| q(X2)
| q(fz(X2))
| ~ p(cx) ),
clause_10 ).
cnf(c_0_50,negated_conjecture,
( q(fz(X1))
| p(cx)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_47,c_0_24]),c_0_23]) ).
cnf(c_0_51,negated_conjecture,
( q(cw)
| p(cx)
| ~ q(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_48]),c_0_39]) ).
cnf(c_0_52,negated_conjecture,
( q(cw)
| ~ p(cx)
| ~ p(X1)
| ~ p(fy(X1))
| ~ q(X2)
| ~ q(fz(X2)) ),
clause_21 ).
cnf(c_0_53,negated_conjecture,
( q(fz(X1))
| p(X2)
| ~ p(cx) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_49,c_0_26]),c_0_28]) ).
cnf(c_0_54,negated_conjecture,
( q(cw)
| p(cx) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_48]),c_0_50]),c_0_51]) ).
cnf(c_0_55,negated_conjecture,
( q(cw)
| ~ q(fz(X1))
| ~ q(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_52,c_0_26]),c_0_24]),c_0_43]) ).
cnf(c_0_56,negated_conjecture,
( q(fz(X1))
| q(cw)
| p(X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,negated_conjecture,
( q(cw)
| p(X1)
| ~ q(X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_58,negated_conjecture,
( q(cw)
| p(X1)
| p(X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
( q(cw)
| q(X2)
| q(fz(X2))
| ~ p(cx)
| ~ p(X1)
| ~ p(fy(X1)) ),
clause_22 ).
cnf(c_0_60,negated_conjecture,
( q(cw)
| p(X1) ),
inference(ef,[status(thm)],[c_0_58]) ).
cnf(c_0_61,negated_conjecture,
( p(cx)
| p(X1)
| p(fy(X1))
| q(X2)
| ~ q(cw) ),
clause_19 ).
cnf(c_0_62,negated_conjecture,
( q(fz(X1))
| q(cw)
| q(X1)
| ~ p(fy(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_59,c_0_53]),c_0_50]) ).
cnf(c_0_63,negated_conjecture,
( q(cw)
| ~ q(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
( q(X1)
| p(fy(X2))
| ~ q(cw) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_61,c_0_23]),c_0_28]) ).
cnf(c_0_65,negated_conjecture,
q(cw),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_60]),c_0_63]),c_0_63]) ).
cnf(c_0_66,negated_conjecture,
( p(cx)
| p(X2)
| p(fy(X2))
| ~ q(cw)
| ~ q(X1)
| ~ q(fz(X1)) ),
clause_30 ).
cnf(c_0_67,negated_conjecture,
( q(X1)
| p(fy(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]) ).
cnf(c_0_68,negated_conjecture,
( p(X2)
| q(X3)
| ~ p(X1)
| ~ p(fy(X1))
| ~ q(cw) ),
clause_11 ).
cnf(c_0_69,negated_conjecture,
( p(fy(X1))
| p(cx)
| p(X1)
| ~ q(fz(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_66,c_0_64]),c_0_43]) ).
cnf(c_0_70,negated_conjecture,
( p(fy(X1))
| p(cx)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
( p(fy(X1))
| p(X2)
| ~ p(cx) ),
inference(spm,[status(thm)],[c_0_35,c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( p(cx)
| ~ p(X1)
| ~ p(fy(X1))
| ~ q(cw)
| ~ q(X2)
| ~ q(fz(X2)) ),
clause_24 ).
cnf(c_0_73,negated_conjecture,
( q(X1)
| p(X2)
| ~ q(cw)
| ~ p(X3) ),
inference(csr,[status(thm)],[c_0_68,c_0_64]) ).
cnf(c_0_74,negated_conjecture,
( p(fy(X1))
| p(fy(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_70]),c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( p(cx)
| ~ q(fz(X1))
| ~ p(fy(X2))
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_72,c_0_23]),c_0_24]) ).
cnf(c_0_76,negated_conjecture,
( q(X1)
| p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_65])]) ).
cnf(c_0_77,negated_conjecture,
p(fy(X1)),
inference(ef,[status(thm)],[c_0_74]) ).
cnf(c_0_78,negated_conjecture,
( p(cx)
| ~ p(fy(X1))
| ~ p(X1) ),
inference(csr,[status(thm)],[c_0_75,c_0_50]) ).
cnf(c_0_79,negated_conjecture,
( q(X1)
| ~ p(fy5(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_65])]) ).
cnf(c_0_80,negated_conjecture,
( q(X1)
| p(X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,negated_conjecture,
( p(cx)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_77])]) ).
cnf(c_0_82,negated_conjecture,
( q(X1)
| q(X2) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,negated_conjecture,
p(cx),
inference(spm,[status(thm)],[c_0_81,c_0_77]) ).
cnf(c_0_84,negated_conjecture,
q(X1),
inference(ef,[status(thm)],[c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( p(X1)
| ~ q(fz5(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_83])]) ).
cnf(c_0_86,negated_conjecture,
~ p(fy5(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_84])]) ).
cnf(c_0_87,negated_conjecture,
p(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_84])]) ).
cnf(c_0_88,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN036-4 : 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
% 0.15/0.33 % Computer : n025.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:05:13 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.28/1.73 % Version : CSE_E---1.7
% 1.28/1.73 % Problem : theBenchmark.p
% 1.28/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.73 % SZS output start CNFRefutation
% See solution above
% 1.28/1.73 % Total time : 1.374s
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