%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN618-1 : 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 05:39:46 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 29 ( 17 unt; 0 nHn; 25 RR)
% Number of literals : 54 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p5_22,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_22) ).
cnf(p5_16,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_16) ).
cnf(p2_24,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_24) ).
cnf(p2_5,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
cnf(p5_30,negated_conjecture,
( p5(f8(X1,X2),f8(X3,X4))
| ~ p2(X1,X3)
| ~ p5(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_30) ).
cnf(p2_12,negated_conjecture,
p2(c17,f3(c16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p5_31,negated_conjecture,
( p5(X1,c20)
| ~ p13(X1,c21)
| ~ p13(c19,X1)
| ~ p5(f8(c17,X1),f6(f7(c22))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_31) ).
cnf(not_p5_17,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p5_17) ).
cnf(p13_8,negated_conjecture,
p13(c23,c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_8) ).
cnf(p13_9,negated_conjecture,
p13(c19,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_9) ).
cnf(p5_3,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).
cnf(c_0_11,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
p5_22 ).
cnf(c_0_12,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
p5_16 ).
cnf(c_0_13,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_24 ).
cnf(c_0_14,negated_conjecture,
p2(X1,X1),
p2_5 ).
cnf(c_0_15,negated_conjecture,
( p5(X1,f6(f7(c22)))
| ~ p5(f8(f3(c16),c23),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( p5(f8(X1,X2),f8(X3,X4))
| ~ p2(X1,X3)
| ~ p5(X2,X4) ),
p5_30 ).
cnf(c_0_17,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p2(c17,f3(c16)),
p2_12 ).
cnf(c_0_19,negated_conjecture,
( p5(X1,c20)
| ~ p13(X1,c21)
| ~ p13(c19,X1)
| ~ p5(f8(c17,X1),f6(f7(c22))) ),
p5_31 ).
cnf(c_0_20,negated_conjecture,
( p5(f8(X1,X2),f6(f7(c22)))
| ~ p2(f3(c16),X1)
| ~ p5(c23,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
p2(f3(c16),c17),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
not_p5_17 ).
cnf(c_0_23,negated_conjecture,
( p5(X1,c20)
| ~ p13(X1,c21)
| ~ p13(c19,X1)
| ~ p5(c23,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_24,negated_conjecture,
p13(c23,c21),
p13_8 ).
cnf(c_0_25,negated_conjecture,
p13(c19,c23),
p13_9 ).
cnf(c_0_26,negated_conjecture,
p5(X1,X1),
p5_3 ).
cnf(c_0_27,negated_conjecture,
~ p5(c23,c20),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_20]),c_0_14])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN618-1 : TPTP v9.2.1. Released v2.5.0.
% 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
% 0.16/0.33 % Computer : n010.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:41:21 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------