%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN553-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n012.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 05:39:37 PM UTC 2026
% Result : Unsatisfiable 0.58s 1.51s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 34 ( 21 unt; 0 nHn; 25 RR)
% Number of literals : 57 ( 0 equ; 35 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p2_9,negated_conjecture,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_9) ).
cnf(p2_7,negated_conjecture,
p2(f8(X1,f8(X2,X3)),f8(f8(X1,X2),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
cnf(p2_8,negated_conjecture,
( p2(f8(X1,X2),f8(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
cnf(p2_5,negated_conjecture,
p2(f8(X1,X2),f8(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(p2_6,negated_conjecture,
( p2(X1,X2)
| ~ p2(X1,X3)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
cnf(not_p2_3,negated_conjecture,
~ p2(c4,f5(f6(c7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_3) ).
cnf(not_p2_4,negated_conjecture,
~ p2(c3,f5(f6(c7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_4) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_2,negated_conjecture,
p2(c3,c4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
cnf(i_0_9,negated_conjecture,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
not_p2_9,
[final] ).
cnf(i_0_10,negated_conjecture,
p2(f8(X1,f8(X2,X3)),f8(f8(X1,X2),X3)),
p2_7,
[final] ).
cnf(i_0_11,negated_conjecture,
( p2(f8(X1,X2),f8(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_8,
[final] ).
cnf(i_0_12,negated_conjecture,
p2(f8(X1,X2),f8(X2,X1)),
p2_5,
[final] ).
cnf(i_0_13,negated_conjecture,
( p2(X1,X2)
| ~ p2(X1,X3)
| ~ p2(X3,X2) ),
p2_6,
[final] ).
cnf(i_0_14,negated_conjecture,
~ p2(c4,f5(f6(c7))),
not_p2_3,
[final] ).
cnf(i_0_15,negated_conjecture,
~ p2(c3,f5(f6(c7))),
not_p2_4,
[final] ).
cnf(i_0_16,negated_conjecture,
p2(X1,X1),
p2_1,
[final] ).
cnf(i_0_17,negated_conjecture,
p2(c3,c4),
p2_2,
[final] ).
cnf(i_0_18,plain,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f8(f9(c3),c4),f9(c4))),
inference(scs_inference,[],[i_0_9,i_0_12,i_0_13]) ).
cnf(i_0_19,plain,
p2(f8(X1,X2),f8(X2,X1)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_20,plain,
( ~ p2(X1,X2)
| p2(X3,X2)
| ~ p2(X3,X1) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_21,plain,
( ~ p2(f8(f9(c4),c4),f9(c4))
| ~ p2(f9(c3),f8(f9(c3),c4)) ),
inference(scs_inference,[],[i_0_9,i_0_12,i_0_13,i_0_11]) ).
cnf(i_0_22,plain,
( p2(f8(X1,X2),f8(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_24,plain,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c3),f8(c4,f9(c4)))),
inference(scs_inference,[],[i_0_18,i_0_10,i_0_13]) ).
cnf(i_0_25,plain,
p2(f8(X1,f8(X2,X3)),f8(f8(X1,X2),X3)),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_26,plain,
( ~ p2(X1,X2)
| p2(X3,X2)
| ~ p2(X3,X1) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_27,plain,
( ~ p2(f8(f9(c4),c4),f8(f9(c3),c4))
| ~ p2(f9(c3),f9(c4)) ),
inference(scs_inference,[],[i_0_18,i_0_10,i_0_13,i_0_11]) ).
cnf(i_0_28,plain,
( p2(f8(X1,X2),f8(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_30,plain,
( ~ p2(f8(f9(c4),c4),f9(c3))
| ~ p2(f9(c3),f8(c4,f9(c4))) ),
inference(scs_inference,[],[i_0_24,i_0_11]) ).
cnf(i_0_31,plain,
( p2(f8(X1,X2),f8(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_33,plain,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f8(c4,f9(c4)),f9(c3))),
inference(scs_inference,[],[i_0_24,i_0_12,i_0_13]) ).
cnf(i_0_34,plain,
p2(f8(X1,X2),f8(X2,X1)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_35,plain,
( ~ p2(X1,X2)
| p2(X3,X2)
| ~ p2(X3,X1) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_36,plain,
$false,
inference(scs_inference,[],[i_0_24,i_0_16,i_0_12,i_0_34,i_0_13,i_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN553-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.06 % 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
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 08:39:31 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 0.58/1.51 % Version : CSE_E---1.7
% 0.58/1.51 % Problem : theBenchmark.p
% 0.58/1.51 % SZS status Unsatisfiable for theBenchmark.p
% 0.58/1.51 % SZS output start CNFRefutation
% See solution above
% 0.58/1.53 % Total time : 1.262s
%------------------------------------------------------------------------------