%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV069-1 : TPTP v9.2.1. Bugfixed v5.5.1.
% 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 : n018.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 04:30:35 PM UTC 2026
% Result : Unsatisfiable 5.46s 4.15s
% Output : CNFRefutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 17
% Syntax : Number of clauses : 35 ( 9 unt; 4 nHn; 35 RR)
% Number of literals : 89 ( 0 equ; 54 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 3 prp; 0-4 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 112 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3018,axiom,
( esk7952_4(X1,X2,X3,X4)
| esk7951_4(X1,X2,X3,X4)
| ~ esk7953_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_3018) ).
cnf(i_0_3978,axiom,
( esk7825_4(X1,X2,X3,X4)
| esk7824_4(X1,X2,X3,X4)
| ~ esk7826_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_3978) ).
cnf(i_0_8559,axiom,
( esk7953_4(X1,X2,X3,X4)
| ~ esk7824_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_8559) ).
cnf(i_0_27269,axiom,
( esk8120_4(X1,X2,X3,X4)
| ~ esk8761_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_27269) ).
cnf(i_0_18074,axiom,
( esk7937_4(X1,X2,X3,X4)
| ~ esk9108_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_18074) ).
cnf(i_0_6826,axiom,
( esk9168_4(X1,X2,X3,X4)
| ~ esk8752_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_6826) ).
cnf(i_0_17201,axiom,
( esk8761_4(X1,X2,X3,X4)
| ~ esk7825_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_17201) ).
cnf(i_0_1548,axiom,
( esk7826_4(X1,X2,X3,X4)
| ~ esk8751_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_1548) ).
cnf(i_0_902,axiom,
( esk1_0
| ~ p(X1)
| ~ p(X2)
| ~ esk7937_4(X3,X4,X2,X1)
| ~ p(X4)
| ~ p(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_902) ).
cnf(i_0_16826,axiom,
( esk1_0
| ~ p(X1)
| ~ p(X2)
| ~ p(X3)
| ~ esk9168_4(X4,X3,X1,X2)
| ~ p(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_16826) ).
cnf(i_0_14639,axiom,
( esk8751_4(X1,X3,X4,X2)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3)
| ~ esk2_0
| ~ p(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_14639) ).
cnf(i_0_26419,axiom,
( esk9108_4(X1,X2,X3,X4)
| ~ esk7952_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_26419) ).
cnf(i_0_15706,axiom,
( esk8752_4(X1,X2,X3,X4)
| ~ esk7951_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_15706) ).
cnf(i_0_18461,axiom,
~ esk8120_4(X1,X2,X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_18461) ).
cnf(i_0_15881,axiom,
~ esk1_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_15881) ).
cnf(rule_true,axiom,
p(true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_true) ).
cnf(i_0_25550,axiom,
esk2_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_25550) ).
cnf(c_0_27287,axiom,
( esk7952_4(X1,X2,X3,X4)
| esk7951_4(X1,X2,X3,X4)
| ~ esk7953_4(X1,X2,X3,X4) ),
i_0_3018 ).
cnf(c_0_27288,axiom,
( esk7825_4(X1,X2,X3,X4)
| esk7824_4(X1,X2,X3,X4)
| ~ esk7826_4(X1,X2,X3,X4) ),
i_0_3978 ).
cnf(c_0_27289,axiom,
( esk7953_4(X1,X2,X3,X4)
| ~ esk7824_4(X1,X2,X3,X4) ),
i_0_8559 ).
cnf(c_0_27290,axiom,
( esk8120_4(X1,X2,X3,X4)
| ~ esk8761_4(X1,X2,X3,X4) ),
i_0_27269 ).
cnf(c_0_27291,axiom,
( esk7937_4(X1,X2,X3,X4)
| ~ esk9108_4(X1,X2,X3,X4) ),
i_0_18074 ).
cnf(c_0_27292,axiom,
( esk9168_4(X1,X2,X3,X4)
| ~ esk8752_4(X1,X2,X3,X4) ),
i_0_6826 ).
cnf(c_0_27293,axiom,
( esk8761_4(X1,X2,X3,X4)
| ~ esk7825_4(X1,X2,X3,X4) ),
i_0_17201 ).
cnf(c_0_27294,axiom,
( esk7826_4(X1,X2,X3,X4)
| ~ esk8751_4(X1,X2,X3,X4) ),
i_0_1548 ).
cnf(c_0_27295,axiom,
( esk1_0
| ~ p(X1)
| ~ p(X2)
| ~ esk7937_4(X3,X4,X2,X1)
| ~ p(X4)
| ~ p(X3) ),
i_0_902 ).
cnf(c_0_27296,axiom,
( esk1_0
| ~ p(X1)
| ~ p(X2)
| ~ p(X3)
| ~ esk9168_4(X4,X3,X1,X2)
| ~ p(X4) ),
i_0_16826 ).
cnf(c_0_27297,axiom,
( esk8751_4(X1,X3,X4,X2)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3)
| ~ esk2_0
| ~ p(X4) ),
i_0_14639 ).
cnf(c_0_27298,axiom,
( esk9108_4(X1,X2,X3,X4)
| ~ esk7952_4(X1,X2,X3,X4) ),
i_0_26419 ).
cnf(c_0_27299,axiom,
( esk8752_4(X1,X2,X3,X4)
| ~ esk7951_4(X1,X2,X3,X4) ),
i_0_15706 ).
cnf(c_0_27300,axiom,
~ esk8120_4(X1,X2,X3,X4),
i_0_18461 ).
cnf(c_0_27301,axiom,
~ esk1_0,
i_0_15881 ).
cnf(c_0_27302,axiom,
p(true),
rule_true ).
cnf(c_0_27303,axiom,
esk2_0,
i_0_25550 ).
cnf(c_0_27304,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_27287,c_0_27288,c_0_27289,c_0_27290,c_0_27291,c_0_27292,c_0_27293,c_0_27294,c_0_27295,c_0_27296,c_0_27297,c_0_27298,c_0_27299,c_0_27300,c_0_27301,c_0_27302,c_0_27303]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV069-1 : TPTP v9.2.1. Bugfixed v5.5.1.
% 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 : n018.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 : Mon May 4 19:21:02 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 5.46/4.15 % Version : CSE_E---1.7
% 5.46/4.15 % Problem : theBenchmark.p
% 5.46/4.15 % SZS status Unsatisfiable for theBenchmark.p
% 5.46/4.15 % SZS output start CNFRefutation
% See solution above
% 5.46/4.16 % Total time : 3.482s
%------------------------------------------------------------------------------