%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN562-1 : 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 : n023.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 0.31s 1.61s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of clauses : 37 ( 18 unt; 0 nHn; 32 RR)
% Number of literals : 66 ( 0 equ; 33 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 19 ( 4 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-1 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_16,negated_conjecture,
p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_16) ).
cnf(p2_15,negated_conjecture,
p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_15) ).
cnf(p10_14,negated_conjecture,
( p10(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p10(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_14) ).
cnf(p6_13,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_13) ).
cnf(p2_12,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p2_11,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
cnf(p2_10,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
cnf(p2_9,negated_conjecture,
( p2(f7(X1),f7(X2))
| ~ p6(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
cnf(p2_8,negated_conjecture,
( p2(f8(X1),f8(X2))
| ~ p6(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
cnf(p2_6,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
cnf(p2_7,negated_conjecture,
( p2(f9(X1),f9(X2))
| ~ p6(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
cnf(not_p10_3,negated_conjecture,
~ p10(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_3) ).
cnf(p2_5,negated_conjecture,
p2(f8(c11),f3(c12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
cnf(p2_4,negated_conjecture,
p2(f9(c11),f3(c12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p6_2,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_2) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(i_0_16,negated_conjecture,
p10(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
p10_16,
[final] ).
cnf(i_0_17,negated_conjecture,
p2(f7(c11),f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12))))))))))))))))))),
p2_15,
[final] ).
cnf(i_0_18,negated_conjecture,
( p10(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p10(X3,X4) ),
p10_14,
[final] ).
cnf(i_0_19,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
p6_13,
[final] ).
cnf(i_0_20,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_12,
[final] ).
cnf(i_0_21,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p2_11,
[final] ).
cnf(i_0_22,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
p2_10,
[final] ).
cnf(i_0_23,negated_conjecture,
( p2(f7(X1),f7(X2))
| ~ p6(X1,X2) ),
p2_9,
[final] ).
cnf(i_0_24,negated_conjecture,
( p2(f8(X1),f8(X2))
| ~ p6(X1,X2) ),
p2_8,
[final] ).
cnf(i_0_25,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
p2_6,
[final] ).
cnf(i_0_26,negated_conjecture,
( p2(f9(X1),f9(X2))
| ~ p6(X1,X2) ),
p2_7,
[final] ).
cnf(i_0_27,negated_conjecture,
~ p10(X1,X1),
not_p10_3,
[final] ).
cnf(i_0_28,negated_conjecture,
p2(f8(c11),f3(c12)),
p2_5,
[final] ).
cnf(i_0_29,negated_conjecture,
p2(f9(c11),f3(c12)),
p2_4,
[final] ).
cnf(i_0_30,negated_conjecture,
p6(X1,X1),
p6_2,
[final] ).
cnf(i_0_31,negated_conjecture,
p2(X1,X1),
p2_1,
[final] ).
cnf(i_0_32,plain,
~ p2(f3(f4(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(f5(c12)))))))))))))))))),f7(c11)),
inference(scs_inference,[],[i_0_16,i_0_27,i_0_31,i_0_18]) ).
cnf(i_0_33,plain,
~ p10(X1,X1),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_34,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_35,plain,
( ~ p10(X1,X2)
| p10(X3,X4)
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_36,plain,
$false,
inference(scs_inference,[],[i_0_16,i_0_27,i_0_31,i_0_34,i_0_17,i_0_18,i_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN562-1 : 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
% 0.15/0.33 % Computer : n023.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 08:40:08 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.31/1.61 % Version : CSE_E---1.7
% 0.31/1.61 % Problem : theBenchmark.p
% 0.31/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.31/1.61 % SZS output start CNFRefutation
% See solution above
% 0.31/1.64 % Total time : 1.271s
%------------------------------------------------------------------------------