%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW374+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 : n021.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 11.66s 8.13s
% Output : CNFRefutation 11.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 55 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 23 ~; 18 |; 2 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 39 ( 3 sgn 22 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_WT__bodiesD,axiom,
! [X12,X13] :
( c_Com_OWT__bodies
=> ( hAPP(c_Com_Obody,X13) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X12)
=> hBOOL(hAPP(c_Com_OWT,X12)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_WT__bodiesD) ).
fof(fact_the_Osimps,axiom,
! [X24,X5] : hAPP(c_Option_Othe(X5),hAPP(c_Option_Ooption_OSome(X5),X24)) = X24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_the_Osimps) ).
fof(fact_WT_Oequations_I7_J,axiom,
! [X11] :
( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(X11)))
<=> ? [X25] : hAPP(c_Com_Obody,X11) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_WT_Oequations_I7_J) ).
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,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(fact_WT_OBody,axiom,
! [X13] :
( hAPP(c_Com_Obody,X13) != c_Option_Ooption_ONone(tc_Com_Ocom)
=> hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(X13))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_WT_OBody) ).
fof(fact_domIff,axiom,
! [X23,X22,X11,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X11),c_Map_Odom(X5,X22,X23)))
<=> hAPP(X23,X11) != c_Option_Ooption_ONone(X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_domIff) ).
fof(conj_3,hypothesis,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
fof(c_0_8,plain,
! [X17027,X17028] :
( ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,X17028) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X17027)
| hBOOL(hAPP(c_Com_OWT,X17027)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_WT__bodiesD])]) ).
fof(c_0_9,plain,
! [X17078,X17079] : hAPP(c_Option_Othe(X17079),hAPP(c_Option_Ooption_OSome(X17079),X17078)) = X17078,
inference(variable_rename,[status(thm)],[fact_the_Osimps]) ).
fof(c_0_10,plain,
! [X17080,X17082,X17083] :
( ( ~ hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(X17080)))
| hAPP(c_Com_Obody,X17080) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),esk5_1(X17080)) )
& ( hAPP(c_Com_Obody,X17082) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X17083)
| hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(X17082))) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_WT_Oequations_I7_J])])])])]) ).
cnf(c_0_11,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_8]) ).
cnf(c_0_12,hypothesis,
c_Com_OWT__bodies,
inference(split_conjunct,[status(thm)],[conj_1]) ).
fof(c_0_13,negated_conjecture,
~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_4])]) ).
cnf(c_0_14,plain,
hAPP(c_Option_Othe(X1),hAPP(c_Option_Ooption_OSome(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( hAPP(c_Com_Obody,X1) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),esk5_1(X1))
| ~ hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,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_11,c_0_12])]) ).
cnf(c_0_17,negated_conjecture,
~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1)) = esk5_1(X1)
| ~ hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(X1))) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( hBOOL(hAPP(c_Com_OWT,esk5_1(X1)))
| hAPP(c_Com_Obody,X2) != hAPP(c_Com_Obody,X1)
| ~ hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(X1))) ),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( ~ hBOOL(hAPP(c_Com_OWT,esk5_1(v_pn)))
| ~ hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(v_pn))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( hBOOL(hAPP(c_Com_OWT,esk5_1(X1)))
| ~ hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(X1))) ),
inference(er,[status(thm)],[c_0_19]) ).
fof(c_0_22,plain,
! [X17144] :
( hAPP(c_Com_Obody,X17144) = c_Option_Ooption_ONone(tc_Com_Ocom)
| hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(X17144))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_WT_OBody])]) ).
fof(c_0_23,plain,
! [X17339,X17340,X17341,X17342] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X17342),X17341),c_Map_Odom(X17342,X17340,X17339)))
| hAPP(X17339,X17341) != c_Option_Ooption_ONone(X17340) )
& ( hAPP(X17339,X17341) = c_Option_Ooption_ONone(X17340)
| hBOOL(hAPP(hAPP(c_member(X17342),X17341),c_Map_Odom(X17342,X17340,X17339))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_domIff])]) ).
cnf(c_0_24,negated_conjecture,
~ hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(v_pn))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( hAPP(c_Com_Obody,X1) = c_Option_Ooption_ONone(tc_Com_Ocom)
| hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OBODY(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( ~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Map_Odom(X1,X3,X4)))
| hAPP(X4,X2) != c_Option_Ooption_ONone(X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,hypothesis,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),
inference(split_conjunct,[status(thm)],[conj_3]) ).
cnf(c_0_28,negated_conjecture,
hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_ONone(tc_Com_Ocom),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW374+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
% 0.16/0.33 % Computer : n021.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 06:43:40 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 11.66/8.13 % Version : CSE_E---1.7
% 11.66/8.13 % Problem : theBenchmark.p
% 11.66/8.13 % SZS status Theorem for theBenchmark.p
% 11.66/8.13 % SZS output start CNFRefutation
% See solution above
% 11.66/8.14 % Total time : 7.119s
%------------------------------------------------------------------------------