%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN604-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n010.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 05:39:44 PM UTC 2026
% Result : Unsatisfiable 1.22s 1.69s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 36 ( 17 unt; 2 nHn; 22 RR)
% Number of literals : 66 ( 0 equ; 31 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 55 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_21,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_21) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
cnf(p3_8,negated_conjecture,
p3(f12(f10(X1)),f10(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
cnf(p3_7,negated_conjecture,
p3(f4(f8(X1)),f12(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
cnf(p16_25,negated_conjecture,
( p16(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X4,X2)
| ~ p16(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_25) ).
cnf(p16_9,negated_conjecture,
p16(f10(f11(c21)),f12(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_9) ).
cnf(p16_23,negated_conjecture,
( p16(X1,X2)
| ~ p16(X1,X3)
| ~ p16(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_23) ).
cnf(p16_30,negated_conjecture,
( p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X1)))
| ~ p16(c19,f4(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_30) ).
cnf(p16_29,negated_conjecture,
( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1)))
| ~ p16(f4(X1),f12(c19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_29) ).
cnf(not_p16_28,negated_conjecture,
~ p16(f4(f6(f7(c20,c18),X1)),f4(f6(f7(c20,c18),f13(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p16_28) ).
cnf(p16_10,negated_conjecture,
( p16(X1,X2)
| p16(X2,f12(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_10) ).
cnf(c_0_11,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_21 ).
cnf(c_0_12,negated_conjecture,
p3(X1,X1),
p3_4 ).
cnf(c_0_13,negated_conjecture,
p3(f12(f10(X1)),f10(X1)),
p3_8 ).
cnf(c_0_14,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
p3(f4(f8(X1)),f12(X1)),
p3_7 ).
cnf(c_0_16,negated_conjecture,
( p3(X1,f10(X2))
| ~ p3(f12(f10(X2)),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
p3(f12(X1),f4(f8(X1))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( p16(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X4,X2)
| ~ p16(X3,X4) ),
p16_25 ).
cnf(c_0_19,negated_conjecture,
p16(f10(f11(c21)),f12(X1)),
p16_9 ).
cnf(c_0_20,negated_conjecture,
p3(f4(f8(f10(X1))),f10(X1)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( p16(X1,X2)
| ~ p16(X1,X3)
| ~ p16(X3,X2) ),
p16_23 ).
cnf(c_0_22,negated_conjecture,
( p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X1)))
| ~ p16(c19,f4(X1)) ),
p16_30 ).
cnf(c_0_23,negated_conjecture,
( p16(X1,X2)
| ~ p3(f10(f11(c21)),X1)
| ~ p3(f12(X3),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
p3(f10(X1),f4(f8(f10(X1)))),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( p16(X1,f4(f6(f7(c20,c18),X2)))
| ~ p16(X1,f4(f6(f7(c20,c18),f8(f10(f11(c21))))))
| ~ p16(c19,f4(X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1)))
| ~ p16(f4(X1),f12(c19)) ),
p16_29 ).
cnf(c_0_27,negated_conjecture,
( p16(f4(f8(f10(f11(c21)))),X1)
| ~ p3(f12(X2),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
~ p16(f4(f6(f7(c20,c18),X1)),f4(f6(f7(c20,c18),f13(X1)))),
not_p16_28 ).
cnf(c_0_29,negated_conjecture,
( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1)))
| ~ p16(f4(f8(f10(f11(c21)))),f12(c19))
| ~ p16(c19,f4(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
p16(f4(f8(f10(f11(c21)))),f12(X1)),
inference(spm,[status(thm)],[c_0_27,c_0_12]) ).
cnf(c_0_31,negated_conjecture,
~ p16(f4(f13(c23)),f12(c19)),
inference(spm,[status(thm)],[c_0_28,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( p16(X1,X2)
| p16(X2,f12(X1)) ),
p16_10 ).
cnf(c_0_33,negated_conjecture,
( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X1)))
| ~ p16(c19,f4(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_34,negated_conjecture,
p16(c19,f4(f13(c23))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_33]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN604-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.10 % 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
% 0.12/0.30 % Computer : n010.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Tue May 5 08:40:06 EDT 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.31 % start to proof: theBenchmark
% 1.22/1.69 % Version : CSE_E---1.7
% 1.22/1.69 % Problem : theBenchmark.p
% 1.22/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 1.22/1.69 % SZS output start CNFRefutation
% See solution above
% 1.22/1.69 % Total time : 1.368s
%------------------------------------------------------------------------------