%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN557-1 : 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 : n029.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 05:39:38 PM UTC 2026
% Result : Unsatisfiable 6.82s 4.60s
% Output : CNFRefutation 6.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 31 ( 13 unt; 0 nHn; 25 RR)
% Number of literals : 59 ( 0 equ; 33 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_6,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_12,negated_conjecture,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p2_13,negated_conjecture,
( p2(f3(X1,X2),f3(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
cnf(p2_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(f3(X1,X3),f3(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
cnf(not_p2_3,negated_conjecture,
~ p2(c6,f3(c8,f5(c9))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_3) ).
cnf(p2_4,negated_conjecture,
p2(f3(X1,X2),f3(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p2_10,negated_conjecture,
p2(f3(X1,f3(X2,X3)),f3(X2,f3(X1,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
cnf(c_0_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_6 ).
cnf(c_0_9,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_10,negated_conjecture,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
p2_12 ).
cnf(c_0_11,negated_conjecture,
( p2(f3(X1,X2),f3(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_13 ).
cnf(c_0_12,negated_conjecture,
( p2(X1,X2)
| ~ p2(f3(X1,X3),f3(X2,X3)) ),
p2_8 ).
cnf(c_0_13,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( p2(f3(c8,f3(f5(c7),f5(c9))),X1)
| ~ p2(f3(c6,f5(c7)),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
~ p2(c6,f3(c8,f5(c9))),
not_p2_3 ).
cnf(c_0_16,negated_conjecture,
( p2(X1,f3(X2,X3))
| ~ p2(f3(X4,X5),X1)
| ~ p2(X5,X3)
| ~ p2(X4,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,f3(X2,X4))
| ~ p2(X3,f3(X1,X4)) ),
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_18,negated_conjecture,
p2(f3(X1,X2),f3(X2,X1)),
p2_4 ).
cnf(c_0_19,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X2)
| ~ p2(X1,X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( p2(X1,X2)
| ~ p2(f3(c8,f3(f5(c7),f5(c9))),X2)
| ~ p2(f3(c6,f5(c7)),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_21,negated_conjecture,
p2(f3(X1,f3(X2,X3)),f3(X2,f3(X1,X3))),
p2_10 ).
cnf(c_0_22,negated_conjecture,
( ~ p2(f3(X1,X2),c6)
| ~ p2(X2,f5(c9))
| ~ p2(X1,c8) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( p2(X1,X2)
| ~ p2(f3(X3,X1),f3(X2,X3)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( p2(f3(c6,f5(c7)),X1)
| ~ p2(f3(c8,f3(f5(c7),f5(c9))),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_10]) ).
cnf(c_0_25,negated_conjecture,
( p2(X1,f3(f5(c7),f3(c8,f5(c9))))
| ~ p2(f3(c6,f5(c7)),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( ~ p2(f3(c8,X1),c6)
| ~ p2(X1,f5(c9)) ),
inference(spm,[status(thm)],[c_0_22,c_0_9]) ).
cnf(c_0_27,negated_conjecture,
( p2(X1,X2)
| ~ p2(f3(X2,X3),f3(X3,X1)) ),
inference(spm,[status(thm)],[c_0_23,c_0_13]) ).
cnf(c_0_28,negated_conjecture,
p2(f3(c6,f5(c7)),f3(f5(c7),f3(c8,f5(c9)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_10])]) ).
cnf(c_0_29,negated_conjecture,
~ p2(f3(c8,f5(c9)),c6),
inference(spm,[status(thm)],[c_0_26,c_0_9]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN557-1 : 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
% 0.15/0.32 % Computer : n029.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:39:29 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 6.82/4.60 % Version : CSE_E---1.7
% 6.82/4.60 % Problem : theBenchmark.p
% 6.82/4.60 % SZS status Unsatisfiable for theBenchmark.p
% 6.82/4.60 % SZS output start CNFRefutation
% See solution above
% 6.82/4.62 % Total time : 3.369s
%------------------------------------------------------------------------------