%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW375+1 : TPTP v9.2.1. Released v5.2.0.
% 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 : n025.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 05:32:14 PM UTC 2026
% Result : Theorem 11.79s 8.08s
% Output : CNFRefutation 11.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 20 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 3 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_WT__bodiesD,axiom,
! [X4,X5] :
( c_Com_OWT__bodies
=> ( hAPP(c_Com_Obody,X5) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X4)
=> hBOOL(hAPP(c_Com_OWT,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_WT__bodiesD) ).
fof(conj_1,hypothesis,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(conj_4,conjecture,
hBOOL(hAPP(c_Com_OWT,v_y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(conj_3,hypothesis,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
fof(c_0_4,plain,
! [X17178,X17179] :
( ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,X17179) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X17178)
| hBOOL(hAPP(c_Com_OWT,X17178)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_WT__bodiesD])]) ).
cnf(c_0_5,plain,
( hBOOL(hAPP(c_Com_OWT,X2))
| ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,hypothesis,
c_Com_OWT__bodies,
inference(split_conjunct,[status(thm)],[conj_1]) ).
fof(c_0_7,negated_conjecture,
~ hBOOL(hAPP(c_Com_OWT,v_y)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_4])]) ).
cnf(c_0_8,plain,
( hBOOL(hAPP(c_Com_OWT,X1))
| hAPP(c_Com_Obody,X2) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]) ).
cnf(c_0_9,hypothesis,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
inference(split_conjunct,[status(thm)],[conj_3]) ).
cnf(c_0_10,negated_conjecture,
~ hBOOL(hAPP(c_Com_OWT,v_y)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_12,hypothesis,
$false,
inference(er,[status(thm)],[c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW375+1 : TPTP v9.2.1. Released v5.2.0.
% 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
% 0.17/0.34 % Computer : n025.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 06:43:13 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 11.79/8.08 % Version : CSE_E---1.7
% 11.79/8.08 % Problem : theBenchmark.p
% 11.79/8.08 % SZS status Theorem for theBenchmark.p
% 11.79/8.08 % SZS output start CNFRefutation
% See solution above
% 11.79/8.10 % Total time : 7.070s
%------------------------------------------------------------------------------