%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC025-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 03:07:34 PM UTC 2026
% Result : Unsatisfiable 5.10s 1.65s
% Output : CNFRefutation 5.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f246ERROR: Could not build tree for root c_12435ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f77,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
fof(f78,axiom,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).
fof(f107,axiom,
! [X0] :
( nil = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ memberP(sk3,X0)
| memberP(sk4,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ memberP(sk4,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk1
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f212,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,plain,
( nil = sk3
| nil = sk4 ),
inference(definition_unfolding,[],[f209,f204,f205]) ).
fof(f218,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f212,f205,f204]) ).
tcf(c_317,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_323,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_324,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_350,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_434,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_435,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_437,negated_conjecture,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_438,negated_conjecture,
! [X0: $i] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_439,negated_conjecture,
( ( sk4 = nil )
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_440,negated_conjecture,
( ( sk4 != nil )
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_7213,negated_conjecture,
( ( sk4 = nil )
| ( sk3 = nil ) ),
inference(demodulation,[status(thm)],[c_439]) ).
tcf(c_7214,negated_conjecture,
! [X0: $i] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(demodulation,[status(thm)],[c_438]) ).
tcf(c_7215,negated_conjecture,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(demodulation,[status(thm)],[c_437]) ).
tcf(c_7217,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_435]) ).
tcf(c_7218,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_434]) ).
tcf(c_11656,plain,
( ( sk3 = nil )
| ( cons(hd(sk3),tl(sk3)) = sk3 ) ),
inference(superposition,[status(thm)],[c_7218,c_350]) ).
tcf(c_11657,plain,
( ( sk4 = nil )
| ( cons(hd(sk4),tl(sk4)) = sk4 ) ),
inference(superposition,[status(thm)],[c_7217,c_350]) ).
tcf(c_11976,plain,
( ssList(tl(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_323]) ).
tcf(c_11977,plain,
( ssItem(hd(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_324]) ).
tcf(c_12135,plain,
( memberP(sk3,hd(sk3))
| ( sk3 = nil )
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3)) ),
inference(superposition,[status(thm)],[c_11656,c_384]) ).
tcf(c_12153,plain,
( memberP(sk4,hd(sk4))
| ( sk4 = nil )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_11657,c_384]) ).
tcf(c_12203,plain,
( memberP(sk4,hd(sk3))
| ( sk3 = nil )
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3)) ),
inference(superposition,[status(thm)],[c_12135,c_7215]) ).
tcf(c_12216,plain,
( memberP(nil,hd(sk3))
| ( sk3 = nil )
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3)) ),
inference(superposition,[status(thm)],[c_7213,c_12203]) ).
tcf(c_12226,plain,
( ( sk3 = nil )
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12216,c_317]) ).
tcf(c_12237,plain,
( ( sk3 = nil )
| ~ ssList(sk3)
| ~ ssList(tl(sk3)) ),
inference(superposition,[status(thm)],[c_324,c_12226]) ).
tcf(c_12241,plain,
( ( sk3 = nil )
| ~ ssList(tl(sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12237,c_7218]) ).
tcf(c_12250,plain,
( ( sk3 = nil )
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_323,c_12241]) ).
tcf(c_12251,plain,
sk3 = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_12250,c_7218]) ).
tcf(c_12260,plain,
! [X0: $i] :
( memberP(nil,X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(demodulation,[status(thm)],[c_7214,c_12251]) ).
tcf(c_12398,plain,
! [X0: $i] :
( ~ memberP(sk4,X0)
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_12260,c_317,c_12260]) ).
tcf(c_12399,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(renaming,[status(thm)],[c_12398]) ).
tcf(c_12432,plain,
memberP(sk4,hd(sk4)),
inference(global_subsumption_just,[status(thm)],[c_12153,c_435,c_440,c_11976,c_11977,c_12153,c_12251]) ).
tcf(c_12434,plain,
~ ssItem(hd(sk4)),
inference(superposition,[status(thm)],[c_12432,c_12399]) ).
tcf(c_12435,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12434,c_12251,c_11977,c_440,c_435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC025-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 15:59:24 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41
% 0.15/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.41
% 0.15/0.41 % Detected problem language: tptp
% 0.15/0.42 % Proving...
% 5.10/1.65 % SZS status Started for theBenchmark.p
% 5.10/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 5.10/1.65
% 5.10/1.65 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.10/1.65
% 5.10/1.65 % ------ iProver source info
% 5.10/1.65
% 5.10/1.65 % git: date: 2026-07-19 20:42:38 +0200
% 5.10/1.65 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.10/1.65 % git: non_committed_changes: false
% 5.10/1.65
% 5.10/1.65 % ------ Parsing...% successful
% 5.10/1.65
% 5.10/1.65
% 5.10/1.65 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.10/1.65
% 5.10/1.65 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 5.10/1.65
% 5.10/1.65 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.10/1.65
% 5.10/1.65 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 5.10/1.65 % ------ Proving...
% 5.10/1.65 % ------ Problem Properties
% 5.10/1.65
% 5.10/1.65 %
% 5.10/1.65 % clauses 184
% 5.10/1.65 % conjectures 7
% 5.10/1.65 % EPR 59
% 5.10/1.65 % Horn 155
% 5.10/1.65 % unary 61
% 5.10/1.65 % binary 23
% 5.10/1.65 % lits 554
% 5.10/1.65 % lits eq 73
% 5.10/1.65 % fd_pure 0
% 5.10/1.65 % fd_pseudo 0
% 5.10/1.65 % fd_cond 15
% 5.10/1.65 % fd_pseudo_cond 14
% 5.10/1.65 % AC symbols 0
% 5.10/1.65
% 5.10/1.65 % ------ Schedule dynamic 5 is on
% 5.10/1.65
% 5.10/1.65 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.10/1.65
% 5.10/1.65
% 5.10/1.65 % ------
% 5.10/1.65 % Current options:
% 5.10/1.65 % ------
% 5.10/1.65
% 5.10/1.65
% 5.10/1.65 %
% 5.10/1.65
% 5.10/1.65 % ------ Proving...
% 5.10/1.65 %
% 5.10/1.65
% 5.10/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 5.10/1.65
% 5.10/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.10/1.65
% 5.10/1.65
%------------------------------------------------------------------------------