%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ056-2.005 : TPTP v9.2.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n002.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 05:02:49 PM UTC 2026
% Result : Unsatisfiable 3.29s 2.89s
% Output : CNFRefutation 3.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 75
% Number of leaves : 13
% Syntax : Number of clauses : 100 ( 18 unt; 0 nHn; 59 RR)
% Number of literals : 620 ( 0 equ; 522 neg)
% Maximal clause size : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 405 ( 43 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule1,axiom,
( p(X6,X2,X3,X4,X5)
| ~ p(X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).
cnf(init,axiom,
p(s0,s0,s0,s0,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).
cnf(rule2,axiom,
( p(X1,X6,X3,X4,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X2)
| ~ neq(X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).
cnf(neq7,axiom,
neq(s2,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq7) ).
cnf(rule3,axiom,
( p(X1,X2,X6,X4,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X3)
| ~ neq(X1,X6)
| ~ neq(X2,X3)
| ~ neq(X2,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3) ).
cnf(neq4,axiom,
neq(s1,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq4) ).
cnf(neq8,axiom,
neq(s2,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq8) ).
cnf(neq2,axiom,
neq(s0,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq2) ).
cnf(rule4,axiom,
( p(X1,X2,X3,X6,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X4)
| ~ neq(X1,X6)
| ~ neq(X2,X4)
| ~ neq(X2,X6)
| ~ neq(X3,X4)
| ~ neq(X3,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).
cnf(neq3,axiom,
neq(s0,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq3) ).
cnf(neq6,axiom,
neq(s1,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq6) ).
cnf(rule5,axiom,
( p(X1,X2,X3,X4,X6)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X5)
| ~ neq(X1,X6)
| ~ neq(X2,X5)
| ~ neq(X2,X6)
| ~ neq(X3,X5)
| ~ neq(X3,X6)
| ~ neq(X4,X5)
| ~ neq(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5) ).
cnf(goal,negated_conjecture,
~ p(s2,s2,s2,s2,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_0_13,axiom,
( p(X6,X2,X3,X4,X5)
| ~ p(X1,X2,X3,X4,X5) ),
rule1 ).
cnf(c_0_14,axiom,
p(s0,s0,s0,s0,s0),
init ).
cnf(c_0_15,axiom,
( p(X1,X6,X3,X4,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X2)
| ~ neq(X1,X6) ),
rule2 ).
cnf(c_0_16,plain,
p(X1,s0,s0,s0,s0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( p(X1,X2,s0,s0,s0)
| ~ neq(X1,s0)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
( p(X1,X2,s0,s0,s0)
| ~ neq(X3,s0)
| ~ neq(X3,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_19,axiom,
neq(s2,s0),
neq7 ).
cnf(c_0_20,axiom,
( p(X1,X2,X6,X4,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X3)
| ~ neq(X1,X6)
| ~ neq(X2,X3)
| ~ neq(X2,X6) ),
rule3 ).
cnf(c_0_21,plain,
( p(X1,X2,s0,s0,s0)
| ~ neq(s2,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( p(X1,X2,X3,s0,s0)
| ~ neq(X2,s0)
| ~ neq(X1,s0)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X1,X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,plain,
( p(X1,X2,X3,s0,s0)
| ~ neq(X2,s0)
| ~ neq(X4,s0)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X4,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_22]) ).
cnf(c_0_24,axiom,
neq(s1,s0),
neq4 ).
cnf(c_0_25,plain,
( p(X1,X2,X3,s0,s0)
| ~ neq(X2,s0)
| ~ neq(s2,X2)
| ~ neq(s1,X3)
| ~ neq(X2,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,plain,
( p(X1,X2,X3,s0,s0)
| ~ neq(X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X3)
| ~ neq(X1,X2)
| ~ neq(X1,X4)
| ~ neq(X4,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_25]) ).
cnf(c_0_27,axiom,
neq(s2,s1),
neq8 ).
cnf(c_0_28,plain,
( p(X1,X2,X3,s0,s0)
| ~ neq(s1,X3)
| ~ neq(X1,s1)
| ~ neq(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_27])]) ).
cnf(c_0_29,plain,
( p(X1,X2,X3,s0,s0)
| ~ neq(s1,X3)
| ~ neq(X4,s1)
| ~ neq(X4,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_28]) ).
cnf(c_0_30,axiom,
neq(s0,s1),
neq2 ).
cnf(c_0_31,axiom,
( p(X1,X2,X3,X6,X5)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X4)
| ~ neq(X1,X6)
| ~ neq(X2,X4)
| ~ neq(X2,X6)
| ~ neq(X3,X4)
| ~ neq(X3,X6) ),
rule4 ).
cnf(c_0_32,plain,
( p(X1,X2,X3,s0,s0)
| ~ neq(s1,X3)
| ~ neq(s0,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(X3,s0)
| ~ neq(X2,s0)
| ~ neq(X1,s0)
| ~ neq(s1,X3)
| ~ neq(s0,X2)
| ~ neq(X3,X4)
| ~ neq(X2,X4)
| ~ neq(X1,X4) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(X3,s0)
| ~ neq(X2,s0)
| ~ neq(X5,s0)
| ~ neq(s1,X3)
| ~ neq(s0,X2)
| ~ neq(X3,X4)
| ~ neq(X2,X4)
| ~ neq(X5,X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_33]) ).
cnf(c_0_35,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(X3,s0)
| ~ neq(X2,s0)
| ~ neq(s1,X3)
| ~ neq(s0,X2)
| ~ neq(s2,X4)
| ~ neq(X3,X4)
| ~ neq(X2,X4) ),
inference(spm,[status(thm)],[c_0_34,c_0_19]) ).
cnf(c_0_36,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(X3,s0)
| ~ neq(X5,s0)
| ~ neq(s1,X3)
| ~ neq(s0,X5)
| ~ neq(s2,X4)
| ~ neq(X1,X2)
| ~ neq(X1,X5)
| ~ neq(X3,X4)
| ~ neq(X5,X4) ),
inference(spm,[status(thm)],[c_0_15,c_0_35]) ).
cnf(c_0_37,axiom,
neq(s0,s2),
neq3 ).
cnf(c_0_38,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(X3,s0)
| ~ neq(s1,X3)
| ~ neq(s2,X4)
| ~ neq(X1,s2)
| ~ neq(X1,X2)
| ~ neq(X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_19]),c_0_37])]) ).
cnf(c_0_39,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(X3,s0)
| ~ neq(s1,X3)
| ~ neq(s2,X4)
| ~ neq(X5,s2)
| ~ neq(X5,X2)
| ~ neq(X3,X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_38]) ).
cnf(c_0_40,axiom,
neq(s1,s2),
neq6 ).
cnf(c_0_41,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(X3,s0)
| ~ neq(s1,X3)
| ~ neq(s2,X4)
| ~ neq(s1,X2)
| ~ neq(X3,X4) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(X5,s0)
| ~ neq(s1,X5)
| ~ neq(s2,X4)
| ~ neq(s1,X2)
| ~ neq(X2,X3)
| ~ neq(X2,X5)
| ~ neq(X1,X3)
| ~ neq(X1,X5)
| ~ neq(X5,X4) ),
inference(spm,[status(thm)],[c_0_20,c_0_41]) ).
cnf(c_0_43,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X2)
| ~ neq(X2,s2)
| ~ neq(X1,s2)
| ~ neq(X2,X3)
| ~ neq(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_19]),c_0_40])]) ).
cnf(c_0_44,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X2)
| ~ neq(X2,s2)
| ~ neq(X5,s2)
| ~ neq(X2,X3)
| ~ neq(X5,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_43]) ).
cnf(c_0_45,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X2)
| ~ neq(X2,s2)
| ~ neq(s0,X3)
| ~ neq(X2,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_37]) ).
cnf(c_0_46,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X5)
| ~ neq(X5,s2)
| ~ neq(s0,X3)
| ~ neq(X1,X2)
| ~ neq(X1,X5)
| ~ neq(X5,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_45]) ).
cnf(c_0_47,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s0,X3)
| ~ neq(X1,s0)
| ~ neq(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_24]),c_0_37])]) ).
cnf(c_0_48,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s0,X3)
| ~ neq(X5,s0)
| ~ neq(X5,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_47]) ).
cnf(c_0_49,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s0,X3)
| ~ neq(s1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_24]) ).
cnf(c_0_50,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s0,X5)
| ~ neq(s1,X2)
| ~ neq(X2,X3)
| ~ neq(X2,X5)
| ~ neq(X1,X3)
| ~ neq(X1,X5) ),
inference(spm,[status(thm)],[c_0_20,c_0_49]) ).
cnf(c_0_51,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X2)
| ~ neq(X2,s1)
| ~ neq(X1,s1)
| ~ neq(X2,X3)
| ~ neq(X1,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_30]) ).
cnf(c_0_52,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X2)
| ~ neq(X2,s1)
| ~ neq(X5,s1)
| ~ neq(X2,X3)
| ~ neq(X5,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_51]) ).
cnf(c_0_53,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X2)
| ~ neq(X2,s1)
| ~ neq(s2,X3)
| ~ neq(X2,X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_27]) ).
cnf(c_0_54,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X5)
| ~ neq(X5,s1)
| ~ neq(s2,X3)
| ~ neq(X1,X2)
| ~ neq(X1,X5)
| ~ neq(X5,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_53]) ).
cnf(c_0_55,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(X1,s2)
| ~ neq(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_40]),c_0_27])]) ).
cnf(c_0_56,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(X5,s2)
| ~ neq(X5,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_55]) ).
cnf(c_0_57,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(s1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_40]) ).
cnf(c_0_58,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(s1,X5)
| ~ neq(X1,X2)
| ~ neq(X1,X5) ),
inference(spm,[status(thm)],[c_0_15,c_0_57]) ).
cnf(c_0_59,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(X1,s0)
| ~ neq(X1,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_24]) ).
cnf(c_0_60,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(X5,s0)
| ~ neq(X5,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_59]) ).
cnf(c_0_61,axiom,
( p(X1,X2,X3,X4,X6)
| ~ p(X1,X2,X3,X4,X5)
| ~ neq(X1,X5)
| ~ neq(X1,X6)
| ~ neq(X2,X5)
| ~ neq(X2,X6)
| ~ neq(X3,X5)
| ~ neq(X3,X6)
| ~ neq(X4,X5)
| ~ neq(X4,X6) ),
rule5 ).
cnf(c_0_62,plain,
( p(X1,X2,X3,X4,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(s2,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_19]) ).
cnf(c_0_63,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(X3,s0)
| ~ neq(X2,s0)
| ~ neq(X1,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(s2,X2)
| ~ neq(X4,X5)
| ~ neq(X3,X5)
| ~ neq(X2,X5)
| ~ neq(X1,X5) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(X3,s0)
| ~ neq(X2,s0)
| ~ neq(X6,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(s2,X2)
| ~ neq(X4,X5)
| ~ neq(X3,X5)
| ~ neq(X2,X5)
| ~ neq(X6,X5) ),
inference(spm,[status(thm)],[c_0_13,c_0_63]) ).
cnf(c_0_65,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(X3,s0)
| ~ neq(X2,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(s2,X2)
| ~ neq(s1,X5)
| ~ neq(X4,X5)
| ~ neq(X3,X5)
| ~ neq(X2,X5) ),
inference(spm,[status(thm)],[c_0_64,c_0_24]) ).
cnf(c_0_66,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(X3,s0)
| ~ neq(X6,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(s2,X6)
| ~ neq(s1,X5)
| ~ neq(X1,X2)
| ~ neq(X1,X6)
| ~ neq(X4,X5)
| ~ neq(X3,X5)
| ~ neq(X6,X5) ),
inference(spm,[status(thm)],[c_0_15,c_0_65]) ).
cnf(c_0_67,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(X3,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(s1,X5)
| ~ neq(X1,s1)
| ~ neq(X1,X2)
| ~ neq(X4,X5)
| ~ neq(X3,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_24]),c_0_27])]) ).
cnf(c_0_68,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(X3,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(s1,X5)
| ~ neq(X6,s1)
| ~ neq(X6,X2)
| ~ neq(X4,X5)
| ~ neq(X3,X5) ),
inference(spm,[status(thm)],[c_0_13,c_0_67]) ).
cnf(c_0_69,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(X3,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X3)
| ~ neq(s1,X5)
| ~ neq(s0,X2)
| ~ neq(X4,X5)
| ~ neq(X3,X5) ),
inference(spm,[status(thm)],[c_0_68,c_0_30]) ).
cnf(c_0_70,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(X6,s0)
| ~ neq(s2,X4)
| ~ neq(s2,X6)
| ~ neq(s1,X5)
| ~ neq(s0,X2)
| ~ neq(X2,X3)
| ~ neq(X2,X6)
| ~ neq(X1,X3)
| ~ neq(X1,X6)
| ~ neq(X4,X5)
| ~ neq(X6,X5) ),
inference(spm,[status(thm)],[c_0_20,c_0_69]) ).
cnf(c_0_71,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X5)
| ~ neq(s0,X2)
| ~ neq(X2,s1)
| ~ neq(X1,s1)
| ~ neq(X2,X3)
| ~ neq(X1,X3)
| ~ neq(X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_24]),c_0_27])]) ).
cnf(c_0_72,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X5)
| ~ neq(s0,X2)
| ~ neq(X2,s1)
| ~ neq(X6,s1)
| ~ neq(X2,X3)
| ~ neq(X6,X3)
| ~ neq(X4,X5) ),
inference(spm,[status(thm)],[c_0_13,c_0_71]) ).
cnf(c_0_73,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X5)
| ~ neq(s0,X2)
| ~ neq(X2,s1)
| ~ neq(s2,X3)
| ~ neq(X2,X3)
| ~ neq(X4,X5) ),
inference(spm,[status(thm)],[c_0_72,c_0_27]) ).
cnf(c_0_74,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X5)
| ~ neq(s0,X6)
| ~ neq(X6,s1)
| ~ neq(s2,X3)
| ~ neq(X1,X2)
| ~ neq(X1,X6)
| ~ neq(X6,X3)
| ~ neq(X4,X5) ),
inference(spm,[status(thm)],[c_0_15,c_0_73]) ).
cnf(c_0_75,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(X1,s2)
| ~ neq(X1,X2)
| ~ neq(X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_37]),c_0_27])]) ).
cnf(c_0_76,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(X6,s2)
| ~ neq(X6,X2)
| ~ neq(X4,X5) ),
inference(spm,[status(thm)],[c_0_13,c_0_75]) ).
cnf(c_0_77,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(s1,X2)
| ~ neq(X4,X5) ),
inference(spm,[status(thm)],[c_0_76,c_0_40]) ).
cnf(c_0_78,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(s1,X6)
| ~ neq(X1,X2)
| ~ neq(X1,X6)
| ~ neq(X4,X5) ),
inference(spm,[status(thm)],[c_0_15,c_0_77]) ).
cnf(c_0_79,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(X1,s0)
| ~ neq(X1,X2)
| ~ neq(X4,X5) ),
inference(spm,[status(thm)],[c_0_78,c_0_24]) ).
cnf(c_0_80,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(X6,s0)
| ~ neq(X6,X2)
| ~ neq(X4,X5) ),
inference(spm,[status(thm)],[c_0_13,c_0_79]) ).
cnf(c_0_81,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X4,s0)
| ~ neq(s2,X4)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(s2,X2)
| ~ neq(X4,X5) ),
inference(spm,[status(thm)],[c_0_80,c_0_19]) ).
cnf(c_0_82,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(X6,s0)
| ~ neq(s2,X6)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(s2,X2)
| ~ neq(X3,X4)
| ~ neq(X3,X6)
| ~ neq(X2,X4)
| ~ neq(X2,X6)
| ~ neq(X1,X4)
| ~ neq(X1,X6)
| ~ neq(X6,X5) ),
inference(spm,[status(thm)],[c_0_31,c_0_81]) ).
cnf(c_0_83,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(s2,X2)
| ~ neq(X3,s1)
| ~ neq(X2,s1)
| ~ neq(X1,s1)
| ~ neq(X3,X4)
| ~ neq(X2,X4)
| ~ neq(X1,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_24]),c_0_27])]) ).
cnf(c_0_84,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(s2,X2)
| ~ neq(X3,s1)
| ~ neq(X2,s1)
| ~ neq(X6,s1)
| ~ neq(X3,X4)
| ~ neq(X2,X4)
| ~ neq(X6,X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_83]) ).
cnf(c_0_85,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(s2,X2)
| ~ neq(X3,s1)
| ~ neq(X2,s1)
| ~ neq(s0,X4)
| ~ neq(X3,X4)
| ~ neq(X2,X4) ),
inference(spm,[status(thm)],[c_0_84,c_0_30]) ).
cnf(c_0_86,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(s2,X6)
| ~ neq(X3,s1)
| ~ neq(X6,s1)
| ~ neq(s0,X4)
| ~ neq(X1,X2)
| ~ neq(X1,X6)
| ~ neq(X3,X4)
| ~ neq(X6,X4) ),
inference(spm,[status(thm)],[c_0_15,c_0_85]) ).
cnf(c_0_87,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(X3,s1)
| ~ neq(s0,X4)
| ~ neq(X1,s0)
| ~ neq(X1,X2)
| ~ neq(X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_19]),c_0_30])]) ).
cnf(c_0_88,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(X3,s1)
| ~ neq(s0,X4)
| ~ neq(X6,s0)
| ~ neq(X6,X2)
| ~ neq(X3,X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_87]) ).
cnf(c_0_89,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s2,X3)
| ~ neq(X3,s1)
| ~ neq(s0,X4)
| ~ neq(s2,X2)
| ~ neq(X3,X4) ),
inference(spm,[status(thm)],[c_0_88,c_0_19]) ).
cnf(c_0_90,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s2,X6)
| ~ neq(X6,s1)
| ~ neq(s0,X4)
| ~ neq(s2,X2)
| ~ neq(X2,X3)
| ~ neq(X2,X6)
| ~ neq(X1,X3)
| ~ neq(X1,X6)
| ~ neq(X6,X4) ),
inference(spm,[status(thm)],[c_0_20,c_0_89]) ).
cnf(c_0_91,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s0,X4)
| ~ neq(s2,X2)
| ~ neq(X2,s0)
| ~ neq(X1,s0)
| ~ neq(X2,X3)
| ~ neq(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_19]),c_0_30])]) ).
cnf(c_0_92,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s0,X4)
| ~ neq(s2,X2)
| ~ neq(X2,s0)
| ~ neq(X6,s0)
| ~ neq(X2,X3)
| ~ neq(X6,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_91]) ).
cnf(c_0_93,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s0,X4)
| ~ neq(s2,X2)
| ~ neq(X2,s0)
| ~ neq(s1,X3)
| ~ neq(X2,X3) ),
inference(spm,[status(thm)],[c_0_92,c_0_24]) ).
cnf(c_0_94,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s0,X4)
| ~ neq(s2,X6)
| ~ neq(X6,s0)
| ~ neq(s1,X3)
| ~ neq(X1,X2)
| ~ neq(X1,X6)
| ~ neq(X6,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_93]) ).
cnf(c_0_95,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s0,X4)
| ~ neq(s1,X3)
| ~ neq(X1,s1)
| ~ neq(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_27]),c_0_24])]) ).
cnf(c_0_96,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s0,X4)
| ~ neq(s1,X3)
| ~ neq(X6,s1)
| ~ neq(X6,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_95]) ).
cnf(c_0_97,negated_conjecture,
~ p(s2,s2,s2,s2,s2),
goal ).
cnf(c_0_98,plain,
( p(X1,X2,X3,X4,X5)
| ~ neq(s1,X5)
| ~ neq(s0,X4)
| ~ neq(s1,X3)
| ~ neq(s0,X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_30]) ).
cnf(c_0_99,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_40]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ056-2.005 : TPTP v9.2.1. Released v3.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n002.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 01:34:31 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 3.29/2.89 % Version : CSE_E---1.7
% 3.29/2.89 % Problem : theBenchmark.p
% 3.29/2.89 % SZS status Unsatisfiable for theBenchmark.p
% 3.29/2.89 % SZS output start CNFRefutation
% See solution above
% 3.29/2.89 % Total time : 2.370s
%------------------------------------------------------------------------------