%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC325-1 : 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 : n015.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 03:09:19 PM UTC 2026
% Result : Unsatisfiable 1.32s 1.29s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f245ERROR: Could not build tree for root c_9768ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X0,X1] :
( app(X1,X0) != sk1
| app(X0,X1) != sk2
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( ~ neq(sk4,nil)
| sk3 = app(cons(sk5,nil),sk6) ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( ~ neq(sk4,nil)
| sk4 = app(sk6,cons(sk5,nil)) ),
inference(reorient_equations,[],[f212]) ).
fof(f216,plain,
! [X0,X1] :
( app(X1,X0) != sk3
| app(X0,X1) != sk4
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
tcf(c_253,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_390,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_434,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ( app(X1,X0) != sk3 )
| ( app(X0,X1) != sk4 ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_436,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_437,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_438,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_439,negated_conjecture,
( ( app(cons(sk5,nil),sk6) = sk3 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_440,negated_conjecture,
( ( app(sk6,cons(sk5,nil)) = sk4 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_555,plain,
app(nil,nil) = nil,
inference(global_subsumption_just,[status(thm)],[c_390,c_253,c_390]) ).
tcf(c_3591,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( app(sk6,cons(sk5,nil)) = sk4 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_440,c_345]) ).
tcf(c_3592,plain,
( ( sk4 = nil )
| ( app(sk6,cons(sk5,nil)) = sk4 )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_3591]) ).
tcf(c_3593,plain,
( ( sk4 = nil )
| ( app(sk6,cons(sk5,nil)) = sk4 ) ),
inference(global_subsumption_just,[status(thm)],[c_3592,c_434,c_253,c_3592]) ).
tcf(c_3615,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( app(cons(sk5,nil),sk6) = sk3 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_439,c_345]) ).
tcf(c_3616,plain,
( ( sk4 = nil )
| ( app(cons(sk5,nil),sk6) = sk3 )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_3615]) ).
tcf(c_3617,plain,
( ( sk4 = nil )
| ( app(cons(sk5,nil),sk6) = sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_3616,c_434,c_253,c_3616]) ).
tcf(c_3639,plain,
! [X0: $i,X1: $i] :
( ssList(sk6)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_438,c_345]) ).
tcf(c_3640,plain,
( ssList(sk6)
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_3639]) ).
tcf(c_3641,plain,
( ssList(sk6)
| ( sk4 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_3640,c_434,c_253,c_3640]) ).
tcf(c_3663,plain,
! [X0: $i,X1: $i] :
( ssItem(sk5)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_437,c_345]) ).
tcf(c_3664,plain,
( ssItem(sk5)
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_3663]) ).
tcf(c_3665,plain,
( ssItem(sk5)
| ( sk4 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_3664,c_434,c_253,c_3664]) ).
tcf(c_6634,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6635,definition,
iPr_def_13 = app(iPr_def_12,sk6),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6636,definition,
iPr_def_14 = app(sk6,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6637,plain,
( ssItem(sk5)
| ( sk4 = nil ) ),
inference(demodulation,[status(thm)],[c_3665]) ).
tcf(c_6638,plain,
( ssList(sk6)
| ( sk4 = nil ) ),
inference(demodulation,[status(thm)],[c_3641]) ).
tcf(c_6639,plain,
( ( iPr_def_13 = sk3 )
| ( sk4 = nil ) ),
inference(demodulation,[status(thm)],[c_3617,c_6634,c_6635]) ).
tcf(c_6640,plain,
( ( iPr_def_14 = sk4 )
| ( sk4 = nil ) ),
inference(demodulation,[status(thm)],[c_3593,c_6636]) ).
tcf(c_6641,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ( app(X1,X0) != sk3 )
| ( app(X0,X1) != sk4 ) ),
inference(demodulation,[status(thm)],[c_435]) ).
tcf(c_6642,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_9214,plain,
( ~ ssList(nil)
| ( sk4 != nil )
| ( app(nil,nil) != sk3 ) ),
inference(superposition,[status(thm)],[c_555,c_6641]) ).
tcf(c_9215,plain,
( ~ ssList(nil)
| ( sk4 != nil )
| ( sk3 != nil ) ),
inference(light_normalisation,[status(thm)],[c_9214,c_555]) ).
tcf(c_9219,plain,
iPr_def_14 = sk4,
inference(global_subsumption_just,[status(thm)],[c_6640,c_253,c_436,c_6640,c_9215]) ).
tcf(c_9222,plain,
( ( nil = iPr_def_14 )
| ( sk3 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_6639,c_9219]) ).
tcf(c_9223,plain,
( ssList(sk6)
| ( nil = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_6638,c_9219]) ).
tcf(c_9224,plain,
( ssItem(sk5)
| ( nil = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_6637,c_9219]) ).
tcf(c_9225,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ( app(X1,X0) != sk3 )
| ( app(X0,X1) != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_6641,c_9219]) ).
tcf(c_9226,plain,
( ( sk3 = nil )
| ( nil != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_6642,c_9219]) ).
tcf(c_9253,plain,
( ~ ssList(nil)
| ( sk3 != nil )
| ( app(nil,nil) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_555,c_9225]) ).
tcf(c_9254,plain,
( ~ ssList(nil)
| ( nil != iPr_def_14 )
| ( sk3 != nil ) ),
inference(light_normalisation,[status(thm)],[c_9253,c_555]) ).
tcf(c_9255,plain,
( ( nil != iPr_def_14 )
| ( sk3 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9254,c_253]) ).
tcf(c_9263,plain,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_9223,c_253,c_436,c_3641,c_9215]) ).
tcf(c_9265,plain,
ssItem(sk5),
inference(global_subsumption_just,[status(thm)],[c_9224,c_434,c_253,c_436,c_3664,c_9215]) ).
tcf(c_9271,plain,
sk3 = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_9222,c_9222,c_9226,c_9255]) ).
tcf(c_9273,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ( app(X1,X0) != iPr_def_13 )
| ( app(X0,X1) != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_9225,c_9271]) ).
tcf(c_9300,plain,
( ~ ssList(iPr_def_12)
| ~ ssList(sk6)
| ( app(iPr_def_12,sk6) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6636,c_9273]) ).
tcf(c_9301,plain,
( ~ ssList(iPr_def_12)
| ~ ssList(sk6) ),
inference(ground_joinability,[status(thm)],[c_9300,c_6635]) ).
tcf(c_9302,plain,
~ ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9301,c_9263]) ).
tcf(c_9764,plain,
( ssList(iPr_def_12)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6634,c_331]) ).
tcf(c_9768,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9764,c_9302,c_9265,c_253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC325-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 17:41:27 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.32/1.29 % SZS status Started for theBenchmark.p
% 1.32/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.29
% 1.32/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.32/1.29
% 1.32/1.29 % ------ iProver source info
% 1.32/1.29
% 1.32/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.32/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.32/1.29 % git: non_committed_changes: false
% 1.32/1.29
% 1.32/1.29 % ------ Parsing...% successful
% 1.32/1.29
% 1.32/1.29
% 1.32/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.32/1.29
% 1.32/1.29 % ------ 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 %
% 1.32/1.29
% 1.32/1.29 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.32/1.29
% 1.32/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.32/1.29 % ------ Proving...
% 1.32/1.29 % ------ Problem Properties
% 1.32/1.29
% 1.32/1.29 %
% 1.32/1.29 % clauses 188
% 1.32/1.29 % conjectures 4
% 1.32/1.29 % EPR 59
% 1.32/1.29 % Horn 156
% 1.32/1.29 % unary 63
% 1.32/1.29 % binary 26
% 1.32/1.29 % lits 560
% 1.32/1.29 % lits eq 82
% 1.32/1.29 % fd_pure 0
% 1.32/1.29 % fd_pseudo 0
% 1.32/1.29 % fd_cond 15
% 1.32/1.29 % fd_pseudo_cond 14
% 1.32/1.29 % AC symbols 0
% 1.32/1.29
% 1.32/1.29 % ------ Schedule dynamic 5 is on
% 1.32/1.29
% 1.32/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.32/1.29
% 1.32/1.29
% 1.32/1.29 % ------
% 1.32/1.29 % Current options:
% 1.32/1.29 % ------
% 1.32/1.29
% 1.32/1.29
% 1.32/1.29 %
% 1.32/1.29
% 1.32/1.29 % ------ Proving...
% 1.32/1.29 %
% 1.32/1.29
% 1.32/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.29
% 1.32/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.32/1.29
% 1.32/1.29
%------------------------------------------------------------------------------