%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC392-1 : 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 : n014.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 03:09:36 PM UTC 2026
% Result : Unsatisfiable 4.24s 1.31s
% Output : CNFRefutation 4.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f228ERROR: Could not build tree for root c_5788ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f121,axiom,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f121]) ).
fof(f125,axiom,
! [X0,X1] :
( app(cons(X0,nil),X1) = cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f170,axiom,
! [X2,X0,X1] :
( memberP(X0,X2)
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause158) ).
fof(f173,axiom,
! [X2,X0,X1] :
( X2 = X0
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( X0 = X2
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(reorient_equations,[],[f173]) ).
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(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
memberP(sk1,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk4
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( nil = sk3
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( nil = sk4
| cons(sk6,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
( nil = sk4
| sk3 = cons(sk6,nil) ),
inference(reorient_equations,[],[f211]) ).
fof(f215,negated_conjecture,
( nil = sk3
| cons(sk6,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f216,plain,
( nil = sk3
| sk3 = cons(sk6,nil) ),
inference(reorient_equations,[],[f215]) ).
fof(f217,negated_conjecture,
( nil = sk3
| memberP(sk4,sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f221,plain,
memberP(sk3,sk5),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f222,plain,
~ memberP(sk4,sk5),
inference(definition_unfolding,[],[f208,f204]) ).
tcf(c_253,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_254,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_255,negated_conjecture,
ssItem(sk5),
inference(cnf_transformation,[],[f206]) ).
tcf(c_256,negated_conjecture,
memberP(sk3,sk5),
inference(cnf_transformation,[],[f221]) ).
tcf(c_257,negated_conjecture,
~ memberP(sk4,sk5),
inference(cnf_transformation,[],[f222]) ).
tcf(c_258,negated_conjecture,
( ssItem(sk6)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_259,negated_conjecture,
( ssItem(sk6)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_260,negated_conjecture,
( ( sk4 = nil )
| ( cons(sk6,nil) = sk3 ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_263,negated_conjecture,
( ( sk3 = nil )
| ( cons(sk6,nil) = sk3 ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_264,negated_conjecture,
( memberP(sk4,sk6)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| ( X0 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| memberP(X0,X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(app(X0,X1),X2) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_273,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_277,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_280,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_281,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_305,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_280]) ).
tcf(c_312,plain,
( ( nil = nil )
| ~ ssList(nil)
| ( app(nil,nil) != nil ) ),
inference(instantiation,[status(thm)],[c_277]) ).
tcf(c_1615,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( memberP(X0,X2)
| ~ memberP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2668,plain,
! [X0: $i] :
( ( sk3 = nil )
| ( app(cons(sk6,nil),X0) = cons(sk6,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_259,c_275]) ).
tcf(c_2669,plain,
! [X0: $i] :
( ( sk4 = nil )
| ( app(cons(sk6,nil),X0) = cons(sk6,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_258,c_275]) ).
tcf(c_2777,plain,
( ~ ssItem(sk5)
| ~ memberP(nil,sk5) ),
inference(instantiation,[status(thm)],[c_273]) ).
tcf(c_2820,plain,
( ( sk3 = nil )
| ( app(cons(sk6,nil),sk4) = cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_254,c_2668]) ).
tcf(c_2991,plain,
! [X0: $i,X1: $i] :
( memberP(X0,X1)
| ~ memberP(sk3,sk5)
| ( X1 != sk5 )
| ( X0 != sk3 ) ),
inference(instantiation,[status(thm)],[c_1620]) ).
tcf(c_3074,plain,
( ( sk3 = nil )
| ( cons(sk6,sk4) = app(sk3,sk4) ) ),
inference(superposition,[status(thm)],[c_263,c_2820]) ).
tcf(c_3370,plain,
( ( sk4 = nil )
| ( app(cons(sk6,nil),sk4) = cons(sk6,sk4) ) ),
inference(superposition,[status(thm)],[c_254,c_2669]) ).
tcf(c_3644,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk3 )
| ( sk3 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_1617]) ).
tcf(c_3645,plain,
( ( nil = sk3 )
| ( nil != nil )
| ( sk3 != nil ) ),
inference(instantiation,[status(thm)],[c_3644]) ).
tcf(c_3897,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sk3 = nil )
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_263,c_267]) ).
tcf(c_3906,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( sk3 = nil )
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3897,c_281]) ).
tcf(c_4034,plain,
! [X0: $i] :
( memberP(X0,sk5)
| ~ memberP(sk3,sk5)
| ( sk5 != sk5 )
| ( X0 != sk3 ) ),
inference(instantiation,[status(thm)],[c_2991]) ).
tcf(c_4035,plain,
sk5 = sk5,
inference(instantiation,[status(thm)],[c_1615]) ).
tcf(c_4036,plain,
( memberP(nil,sk5)
| ~ memberP(sk3,sk5)
| ( nil != sk3 )
| ( sk5 != sk5 ) ),
inference(instantiation,[status(thm)],[c_4034]) ).
tcf(c_4038,plain,
app(cons(sk6,nil),sk4) = cons(sk6,sk4),
inference(global_subsumption_just,[status(thm)],[c_3370,c_255,c_281,c_256,c_305,c_312,c_2777,c_2820,c_3645,c_4036,c_4035]) ).
tcf(c_4041,plain,
( ( sk4 = nil )
| ( cons(sk6,sk4) = app(sk3,sk4) ) ),
inference(superposition,[status(thm)],[c_260,c_4038]) ).
tcf(c_4190,plain,
cons(sk6,sk4) = app(sk3,sk4),
inference(global_subsumption_just,[status(thm)],[c_4041,c_255,c_281,c_256,c_305,c_312,c_2777,c_3074,c_3645,c_4036,c_4035]) ).
tcf(c_4193,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(sk3,X0)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk4),X0) ),
inference(superposition,[status(thm)],[c_4190,c_268]) ).
tcf(c_4197,plain,
! [X0: $i] :
( memberP(cons(sk6,sk4),X0)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_4190,c_270]) ).
tcf(c_4201,plain,
! [X0: $i] :
( memberP(cons(sk6,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4197,c_254,c_253]) ).
tcf(c_4209,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,sk4),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4193,c_254,c_253]) ).
tcf(c_4225,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_4201,c_267]) ).
tcf(c_4226,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( X0 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4225,c_254]) ).
tcf(c_4249,plain,
( memberP(sk4,sk6)
| memberP(sk3,sk6)
| ~ ssItem(sk6)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_272,c_4209]) ).
tcf(c_4252,plain,
( memberP(sk4,sk6)
| memberP(sk3,sk6)
| ~ ssItem(sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4249,c_254]) ).
tcf(c_4256,plain,
memberP(sk4,sk6),
inference(global_subsumption_just,[status(thm)],[c_4252,c_255,c_281,c_256,c_264,c_305,c_312,c_2777,c_3645,c_4036,c_4035]) ).
tcf(c_5738,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ( X0 = sk6 ) ),
inference(global_subsumption_just,[status(thm)],[c_4226,c_255,c_281,c_256,c_259,c_273,c_305,c_312,c_2777,c_3645,c_3906,c_4036,c_4035]) ).
tcf(c_5739,plain,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(renaming,[status(thm)],[c_5738]) ).
tcf(c_5747,plain,
( ( sk5 = sk6 )
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_256,c_5739]) ).
tcf(c_5749,plain,
sk5 = sk6,
inference(forward_subsumption_resolution,[status(thm)],[c_5747,c_255]) ).
tcf(c_5785,plain,
~ memberP(sk4,sk6),
inference(demodulation,[status(thm)],[c_257,c_5749]) ).
tcf(c_5788,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5785,c_4256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC392-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 18:00:17 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 4.24/1.31 % SZS status Started for theBenchmark.p
% 4.24/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.31
% 4.24/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.24/1.31
% 4.24/1.31 % ------ iProver source info
% 4.24/1.31
% 4.24/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 4.24/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.24/1.31 % git: non_committed_changes: false
% 4.24/1.31
% 4.24/1.31 % ------ Parsing...% successful
% 4.24/1.31
% 4.24/1.31
% 4.24/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.24/1.31
% 4.24/1.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.24/1.31
% 4.24/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.24/1.31
% 4.24/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.24/1.31 % ------ Proving...
% 4.24/1.31 % ------ Problem Properties
% 4.24/1.31
% 4.24/1.31 %
% 4.24/1.31 % clauses 47
% 4.24/1.31 % conjectures 13
% 4.24/1.31 % EPR 22
% 4.24/1.31 % Horn 36
% 4.24/1.31 % unary 7
% 4.24/1.31 % binary 11
% 4.24/1.31 % lits 163
% 4.24/1.31 % lits eq 35
% 4.24/1.31 % fd_pure 0
% 4.24/1.31 % fd_pseudo 0
% 4.24/1.31 % fd_cond 4
% 4.24/1.31 % fd_pseudo_cond 7
% 4.24/1.31 % AC symbols 0
% 4.24/1.31
% 4.24/1.31 % ------ Schedule dynamic 5 is on
% 4.24/1.31
% 4.24/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.24/1.31
% 4.24/1.31
% 4.24/1.31 % ------
% 4.24/1.31 % Current options:
% 4.24/1.31 % ------
% 4.24/1.31
% 4.24/1.31
% 4.24/1.31 %
% 4.24/1.31
% 4.24/1.31 % ------ Proving...
% 4.24/1.31 %
% 4.24/1.31
% 4.24/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 4.24/1.31
% 4.24/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.24/1.31
% 4.24/1.31
%------------------------------------------------------------------------------