%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC415-1 : 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 : n010.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 03:09:42 PM UTC 2026
% Result : Unsatisfiable 3.51s 1.31s
% Output : CNFRefutation 3.51s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f253ERROR: Could not build tree for root c_9326ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f77,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f101]) ).
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(f209,negated_conjecture,
! [X0] :
( neq(sk2,nil)
| ~ neq(nil,sk2)
| sk1 != X0
| tl(sk2) != X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
! [X0] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| tl(sk4) != X0
| sk3 = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
! [X0] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| sk1 != X0
| tl(sk2) != X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f217,plain,
! [X0] :
( neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 != X0
| tl(sk4) != X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f209,f204,f205,f204,f204]) ).
fof(f218,plain,
! [X0] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 != X0
| tl(sk4) != X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f211,f204,f205,f204]) ).
fof(f244,plain,
( neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 != tl(sk4)
| ~ ssList(tl(sk4)) ),
inference(equality_resolution,[],[f217]) ).
fof(f245,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = tl(sk4)
| ~ ssList(tl(sk4)) ),
inference(equality_resolution,[],[f210]) ).
fof(f246,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 != tl(sk4)
| ~ ssList(tl(sk4)) ),
inference(equality_resolution,[],[f218]) ).
tcf(c_253,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_322,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_360,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_434,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_435,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f253]) ).
tcf(c_437,negated_conjecture,
( neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| ( tl(sk4) != sk3 ) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_438,negated_conjecture,
( ( tl(sk4) = sk3 )
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4)) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_439,negated_conjecture,
( ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4))
| ( tl(sk4) != sk3 ) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_561,plain,
( ~ ssList(tl(sk4))
| ~ neq(nil,sk4) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_435,c_438,c_439]) ).
tcf(c_562,negated_conjecture,
( ~ neq(nil,sk4)
| ~ ssList(tl(sk4)) ),
inference(renaming,[status(thm)],[c_561]) ).
tcf(c_563,negated_conjecture,
neq(sk4,nil),
inference(global_subsumption_just,[status(thm)],[c_437,c_435]) ).
tcf(c_565,negated_conjecture,
( ~ neq(nil,sk4)
| ~ ssList(tl(sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_439,c_562]) ).
tcf(c_2840,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( X0 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_563,c_360]) ).
tcf(c_2841,plain,
( ~ ssList(sk4)
| ( sk4 != nil ) ),
inference(unflattening,[status(thm)],[c_2840]) ).
tcf(c_2842,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_2841,c_434,c_2841]) ).
tcf(c_2860,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(tl(sk4))
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_565,c_345]) ).
tcf(c_2861,plain,
( ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(tl(sk4)) ),
inference(unflattening,[status(thm)],[c_2860]) ).
tcf(c_2862,plain,
~ ssList(tl(sk4)),
inference(global_subsumption_just,[status(thm)],[c_2861,c_434,c_253,c_2841,c_2861]) ).
tcf(c_6482,definition,
iPr_def_12 = tl(sk4),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6483,plain,
~ ssList(iPr_def_12),
inference(demodulation,[status(thm)],[c_2862,c_6482]) ).
tcf(c_6484,plain,
sk4 != nil,
inference(demodulation,[status(thm)],[c_2842]) ).
tcf(c_6485,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_434]) ).
tcf(c_9322,plain,
( ssList(iPr_def_12)
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_6482,c_322]) ).
tcf(c_9326,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9322,c_6483,c_6484,c_6485]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC415-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n010.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Thu Sep 24 18:08:36 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.45 % Detected problem language: tptp
% 0.17/0.46 % Proving...
% 3.51/1.31 % SZS status Started for theBenchmark.p
% 3.51/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.51/1.31
% 3.51/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.51/1.31
% 3.51/1.31 % ------ iProver source info
% 3.51/1.31
% 3.51/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 3.51/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.51/1.31 % git: non_committed_changes: false
% 3.51/1.31
% 3.51/1.31 % ------ Parsing...% successful
% 3.51/1.31
% 3.51/1.31
% 3.51/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.51/1.31
% 3.51/1.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.51/1.31
% 3.51/1.31 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.51/1.31
% 3.51/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.51/1.31 % ------ Proving...
% 3.51/1.31 % ------ Problem Properties
% 3.51/1.31
% 3.51/1.31 %
% 3.51/1.31 % clauses 182
% 3.51/1.31 % conjectures 2
% 3.51/1.31 % EPR 56
% 3.51/1.31 % Horn 154
% 3.51/1.31 % unary 63
% 3.51/1.31 % binary 21
% 3.51/1.31 % lits 546
% 3.51/1.31 % lits eq 71
% 3.51/1.31 % fd_pure 0
% 3.51/1.31 % fd_pseudo 0
% 3.51/1.31 % fd_cond 15
% 3.51/1.31 % fd_pseudo_cond 14
% 3.51/1.31 % AC symbols 0
% 3.51/1.31
% 3.51/1.31 % ------ Schedule dynamic 5 is on
% 3.51/1.31
% 3.51/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.51/1.31
% 3.51/1.31
% 3.51/1.31 % ------
% 3.51/1.31 % Current options:
% 3.51/1.31 % ------
% 3.51/1.31
% 3.51/1.31
% 3.51/1.31 %
% 3.51/1.31
% 3.51/1.31 % ------ Proving...
% 3.51/1.31 %
% 3.51/1.31
% 3.51/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.51/1.31
% 3.51/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.51/1.31
% 3.51/1.31
%------------------------------------------------------------------------------