%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC276+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:09:07 PM UTC 2026
% Result : Theorem 3.06s 1.17s
% Output : CNFRefutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 15 unt; 1 def)
% Number of atoms : 110 ( 40 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 95 ( 27 ~; 25 |; 32 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 14 !; 10 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax65) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax66) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| totalorderedP(X0)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| totalorderedP(X0)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f180,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f65]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ssItem(X4)
& memberP(X3,X4)
& cons(X4,nil) = X2 ) )
& ~ totalorderedP(X0)
& X0 = X2
& X1 = X3 ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ssItem(X4)
& memberP(X3,X4)
& cons(X4,nil) = X2 ) )
& ~ totalorderedP(X0)
& X0 = X2
& X1 = X3 ) ) ) ),
inference(flattening,[],[f221]) ).
fof(f296,plain,
( ssList(sK53)
& ssList(sK54)
& ssList(sK55)
& ssList(sK56)
& ( ( nil = sK55
& nil = sK56 )
| ( ssItem(sK57)
& memberP(sK56,sK57)
& sK55 = cons(sK57,nil) ) )
& ~ totalorderedP(sK53)
& sK53 = sK55
& sK54 = sK56 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57)],[f222]) ).
fof(f451,plain,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f452,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f500,plain,
( nil = sK55
| ssItem(sK57) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
( nil = sK55
| sK55 = cons(sK57,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
~ totalorderedP(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
~ totalorderedP(sK55),
inference(definition_unfolding,[],[f506,f507]) ).
tcf(c_203,plain,
! [X0: $i] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f451]) ).
tcf(c_204,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f452]) ).
tcf(c_246,negated_conjecture,
~ totalorderedP(sK55),
inference(cnf_transformation,[],[f509]) ).
tcf(c_248,negated_conjecture,
( ( nil = sK55 )
| ( cons(sK57,nil) = sK55 ) ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_252,negated_conjecture,
( ssItem(sK57)
| ( nil = sK55 ) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_8870,definition,
iPr_def_10 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_8873,negated_conjecture,
( ssItem(sK57)
| ( nil = sK55 ) ),
inference(demodulation,[status(thm)],[c_252]) ).
tcf(c_8877,negated_conjecture,
( ( iPr_def_10 = sK55 )
| ( nil = sK55 ) ),
inference(demodulation,[status(thm)],[c_248,c_8870]) ).
tcf(c_8879,negated_conjecture,
~ totalorderedP(sK55),
inference(demodulation,[status(thm)],[c_246]) ).
tcf(c_11737,plain,
( ( sK55 = iPr_def_10 )
| ~ totalorderedP(nil) ),
inference(superposition,[status(thm)],[c_8877,c_8879]) ).
tcf(c_11754,plain,
sK55 = iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_11737,c_204,c_11737]) ).
tcf(c_11759,plain,
( ssItem(sK57)
| ( nil = iPr_def_10 ) ),
inference(demodulation,[status(thm)],[c_8873,c_11754]) ).
tcf(c_11760,plain,
~ totalorderedP(iPr_def_10),
inference(demodulation,[status(thm)],[c_8879,c_11754]) ).
tcf(c_11912,plain,
( totalorderedP(iPr_def_10)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8870,c_203]) ).
tcf(c_11913,plain,
~ ssItem(sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_11912,c_11760]) ).
tcf(c_11914,plain,
nil = iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_11759,c_11913]) ).
tcf(c_11932,plain,
totalorderedP(iPr_def_10),
inference(demodulation,[status(thm)],[c_204,c_11914]) ).
tcf(c_11938,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11932,c_11760]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC276+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.36 % Computer : n018.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Thu Sep 24 17:23:33 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 3.06/1.17 % SZS status Started for theBenchmark.p
% 3.06/1.17 % SZS status Theorem for theBenchmark.p
% 3.06/1.17
% 3.06/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.06/1.17
% 3.06/1.17 % ------ iProver source info
% 3.06/1.17
% 3.06/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 3.06/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.06/1.17 % git: non_committed_changes: false
% 3.06/1.17
% 3.06/1.17 % ------ Parsing...
% 3.06/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.06/1.17
% 3.06/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 3.06/1.17
% 3.06/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.06/1.17
% 3.06/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.06/1.17 % ------ Proving...
% 3.06/1.17 % ------ Problem Properties
% 3.06/1.17
% 3.06/1.17 %
% 3.06/1.17 % clauses 190
% 3.06/1.17 % conjectures 9
% 3.06/1.17 % EPR 58
% 3.06/1.17 % Horn 116
% 3.06/1.17 % unary 20
% 3.06/1.17 % binary 46
% 3.06/1.17 % lits 634
% 3.06/1.17 % lits eq 87
% 3.06/1.17 % fd_pure 0
% 3.06/1.17 % fd_pseudo 0
% 3.06/1.17 % fd_cond 21
% 3.06/1.17 % fd_pseudo_cond 14
% 3.06/1.17 % AC symbols 0
% 3.06/1.17
% 3.06/1.17 % ------ Schedule dynamic 5 is on
% 3.06/1.17
% 3.06/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.06/1.17
% 3.06/1.17
% 3.06/1.17 % ------
% 3.06/1.17 % Current options:
% 3.06/1.17 % ------
% 3.06/1.17
% 3.06/1.17
% 3.06/1.17 %
% 3.06/1.17
% 3.06/1.17 % ------ Proving...
% 3.06/1.17 %
% 3.06/1.17
% 3.06/1.17 % SZS status Theorem for theBenchmark.p
% 3.06/1.17
% 3.06/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.06/1.17
% 3.06/1.17
%------------------------------------------------------------------------------