%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN072-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n026.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 05:36:03 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.72s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of clauses : 21 ( 9 unt; 8 nHn; 16 RR)
% Number of literals : 37 ( 24 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ big_p(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(clause_1,axiom,
( X1 = c
| X1 = d ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_3,axiom,
big_p(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_2,axiom,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_4,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(c_0_5,negated_conjecture,
~ big_p(e),
prove_this ).
cnf(c_0_6,axiom,
( X1 = c
| X1 = d ),
clause_1 ).
cnf(c_0_7,negated_conjecture,
( e = c
| ~ big_p(d) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
( e = c
| X1 = c
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_9,axiom,
big_p(b),
clause_3 ).
cnf(c_0_10,negated_conjecture,
( c = b
| e = c ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
big_p(a),
clause_2 ).
cnf(c_0_12,negated_conjecture,
( c = b
| ~ big_p(c) ),
inference(spm,[status(thm)],[c_0_5,c_0_10]) ).
cnf(c_0_13,plain,
( X1 = c
| X2 = c
| X2 = X1 ),
inference(spm,[status(thm)],[c_0_6,c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( c = a
| e = c ),
inference(spm,[status(thm)],[c_0_8,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( X1 = c
| X2 = b
| X1 = X2
| ~ big_p(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
a != b,
clause_4 ).
cnf(c_0_17,negated_conjecture,
( c = a
| ~ big_p(c) ),
inference(spm,[status(thm)],[c_0_5,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( X1 = a
| X1 = c ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_11]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
( X1 = a
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_9]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN072-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n026.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 08:11:38 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.24/1.72 % Version : CSE_E---1.7
% 1.24/1.72 % Problem : theBenchmark.p
% 1.24/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.72 % SZS output start CNFRefutation
% See solution above
% 1.24/1.73 % Total time : 1.374s
%------------------------------------------------------------------------------