%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV892-1 : TPTP v9.2.1. Released v4.1.0.
% 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 : n031.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 05:27:39 PM UTC 2026
% Result : Unsatisfiable 2.06s 2.00s
% Output : CNFRefutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 13 unt; 0 nHn; 16 RR)
% Number of literals : 25 ( 11 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 19 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_domD_0,axiom,
( hAPP(X1,X2) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X2,X1,X3,X4),X4)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Map_Odom(X1,X3,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domD_0) ).
cnf(cls_conjecture_3,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_the_Osimps_0,axiom,
c_Option_Othe(c_Option_Ooption_OSome(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the_Osimps_0) ).
cnf(cls_WT__bodiesD_0,axiom,
( c_Com_OWT(X2)
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
| ~ c_Com_OWT__bodies ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__bodiesD_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c_0_6,axiom,
( hAPP(X1,X2) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X2,X1,X3,X4),X4)
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),c_Map_Odom(X1,X3,X4))) ),
cls_domD_0 ).
cnf(c_0_7,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
cls_conjecture_3 ).
cnf(c_0_8,axiom,
c_Option_Othe(c_Option_Ooption_OSome(X1,X2),X2) = X1,
cls_the_Osimps_0 ).
cnf(c_0_9,negated_conjecture,
c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom) = hAPP(c_Com_Obody,v_pn),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,axiom,
( c_Com_OWT(X2)
| hAPP(c_Com_Obody,X1) != c_Option_Ooption_OSome(X2,tc_Com_Ocom)
| ~ c_Com_OWT__bodies ),
cls_WT__bodiesD_0 ).
cnf(c_0_11,negated_conjecture,
c_Com_OWT__bodies,
cls_conjecture_1 ).
cnf(c_0_12,negated_conjecture,
c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom) = c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( c_Com_OWT(X1)
| hAPP(c_Com_Obody,X2) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_14,negated_conjecture,
c_Option_Ooption_OSome(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom),tc_Com_Ocom) = hAPP(c_Com_Obody,v_pn),
inference(rw,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
cls_conjecture_4 ).
cnf(c_0_16,negated_conjecture,
hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(er,[status(thm)],[c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV892-1 : TPTP v9.2.1. Released v4.1.0.
% 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
% 0.16/0.33 % Computer : n031.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 : Tue May 5 06:08:53 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 2.06/2.00 % Version : CSE_E---1.7
% 2.06/2.00 % Problem : theBenchmark.p
% 2.06/2.00 % SZS status Unsatisfiable for theBenchmark.p
% 2.06/2.00 % SZS output start CNFRefutation
% See solution above
% 2.06/2.00 % Total time : 1.427s
%------------------------------------------------------------------------------