%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC308-1 : 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 : 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 03:09:14 PM UTC 2026
% Result : Unsatisfiable 17.27s 3.78s
% Output : CNFRefutation 17.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f231ERROR: Could not build tree for root c_42056ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f75,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).
fof(f76,axiom,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).
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(f107,axiom,
! [X0] :
( nil = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f125,axiom,
! [X0,X1] :
( app(cons(X0,nil),X1) = cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/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(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
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(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk4
| app(X1,cons(X0,nil)) = sk3
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk4
| sk3 = app(X1,cons(X0,nil))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f208]) ).
fof(f213,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
tcf(c_246,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_247,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_248,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f213]) ).
tcf(c_249,negated_conjecture,
( ~ ssList(sk3)
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( app(tl(sk4),cons(hd(sk4),nil)) != sk3 ) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_250,negated_conjecture,
! [X0: $i,X1: $i] :
( ( app(X1,cons(X0,nil)) = sk3 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( app(cons(X0,nil),X1) != sk4 ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_259,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_261,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_263,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_275,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_278,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_286,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_346,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) != sk3 )
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_249,c_246,c_249]) ).
tcf(c_347,negated_conjecture,
( ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( app(tl(sk4),cons(hd(sk4),nil)) != sk3 ) ),
inference(renaming,[status(thm)],[c_346]) ).
tcf(c_1205,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( X1 != nil )
| ( X0 != sk4 )
| ( app(tl(sk4),cons(hd(sk4),nil)) != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_263,c_347]) ).
tcf(c_1206,plain,
( ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( app(tl(sk4),cons(hd(sk4),nil)) != sk3 ) ),
inference(unflattening,[status(thm)],[c_1205]) ).
tcf(c_1207,plain,
( ( sk4 = nil )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( app(tl(sk4),cons(hd(sk4),nil)) != sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_1206,c_247,c_259,c_1206]) ).
tcf(c_1232,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( sk4 != nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_248,c_347]) ).
tcf(c_1233,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( app(tl(sk4),cons(hd(sk4),nil)) != sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_1232,c_1207,c_1232]) ).
tcf(c_1247,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( X0 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_248,c_261]) ).
tcf(c_1248,plain,
( ~ ssList(sk4)
| ( sk4 != nil ) ),
inference(unflattening,[status(thm)],[c_1247]) ).
tcf(c_1249,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_1248,c_247,c_1248]) ).
tcf(c_2034,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_2036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3321,plain,
( ( sk4 = nil )
| ( cons(hd(sk4),tl(sk4)) = sk4 ) ),
inference(superposition,[status(thm)],[c_247,c_275]) ).
tcf(c_3326,plain,
cons(hd(sk4),tl(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_3321,c_1249]) ).
tcf(c_3414,plain,
( ssList(tl(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_278]) ).
tcf(c_3426,plain,
( ssItem(hd(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_286]) ).
tcf(c_3709,plain,
! [X0: $i] :
( ( app(X0,cons(hd(sk4),nil)) = sk3 )
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ( app(cons(hd(sk4),nil),X0) != sk4 ) ),
inference(instantiation,[status(thm)],[c_250]) ).
tcf(c_3716,plain,
! [X0: $i] :
( ( app(cons(hd(sk4),nil),X0) = cons(hd(sk4),X0) )
| ~ ssList(X0)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_253]) ).
tcf(c_3720,plain,
! [X0: $i] :
( ssList(cons(hd(sk4),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_3721,plain,
( ssList(cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_3720]) ).
tcf(c_4457,plain,
sk4 = sk4,
inference(instantiation,[status(thm)],[c_2034]) ).
tcf(c_4458,plain,
! [X0: $i,X1: $i] :
( ( sk4 = X0 )
| ( sk4 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_2036]) ).
tcf(c_5016,plain,
! [X0: $i,X1: $i] :
( ( app(cons(hd(sk4),nil),X0) = sk4 )
| ( sk4 != X1 )
| ( app(cons(hd(sk4),nil),X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_2036]) ).
tcf(c_6060,plain,
! [X0: $i] :
( ( sk4 = X0 )
| ( sk4 != sk4 )
| ( X0 != sk4 ) ),
inference(instantiation,[status(thm)],[c_4458]) ).
tcf(c_9646,plain,
( ( sk4 = cons(hd(sk4),tl(sk4)) )
| ( sk4 != sk4 )
| ( cons(hd(sk4),tl(sk4)) != sk4 ) ),
inference(instantiation,[status(thm)],[c_6060]) ).
tcf(c_23378,plain,
! [X0: $i] :
( ( app(cons(hd(sk4),nil),X0) = sk4 )
| ( sk4 != cons(hd(sk4),tl(sk4)) )
| ( app(cons(hd(sk4),nil),X0) != cons(hd(sk4),tl(sk4)) ) ),
inference(instantiation,[status(thm)],[c_5016]) ).
tcf(c_40256,plain,
( ( app(cons(hd(sk4),nil),tl(sk4)) = sk4 )
| ( sk4 != cons(hd(sk4),tl(sk4)) )
| ( app(cons(hd(sk4),nil),tl(sk4)) != cons(hd(sk4),tl(sk4)) ) ),
inference(instantiation,[status(thm)],[c_23378]) ).
tcf(c_40257,plain,
( ( app(cons(hd(sk4),nil),tl(sk4)) = cons(hd(sk4),tl(sk4)) )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(instantiation,[status(thm)],[c_3716]) ).
tcf(c_42055,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ( app(cons(hd(sk4),nil),tl(sk4)) != sk4 ) ),
inference(instantiation,[status(thm)],[c_3709]) ).
tcf(c_42056,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_42055,c_40257,c_40256,c_9646,c_4457,c_3721,c_3426,c_3414,c_3326,c_1248,c_1233,c_259,c_247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC308-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 17:32:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 17.27/3.78 % SZS status Started for theBenchmark.p
% 17.27/3.78 % SZS status Unsatisfiable for theBenchmark.p
% 17.27/3.78
% 17.27/3.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 17.27/3.78
% 17.27/3.78 % ------ iProver source info
% 17.27/3.78
% 17.27/3.78 % git: date: 2026-07-19 20:42:38 +0200
% 17.27/3.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 17.27/3.78 % git: non_committed_changes: false
% 17.27/3.78
% 17.27/3.78 % ------ Parsing...% successful
% 17.27/3.78
% 17.27/3.78
% 17.27/3.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 17.27/3.78
% 17.27/3.78 % ------ 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 %
% 17.27/3.78
% 17.27/3.78 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 17.27/3.78
% 17.27/3.78 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.27/3.78 % ------ Proving...
% 17.27/3.78 % ------ Problem Properties
% 17.27/3.78
% 17.27/3.78 %
% 17.27/3.78 % clauses 51
% 17.27/3.78 % conjectures 3
% 17.27/3.78 % EPR 15
% 17.27/3.78 % Horn 38
% 17.27/3.78 % unary 7
% 17.27/3.78 % binary 6
% 17.27/3.78 % lits 194
% 17.27/3.78 % lits eq 47
% 17.27/3.78 % fd_pure 0
% 17.27/3.78 % fd_pseudo 0
% 17.27/3.78 % fd_cond 12
% 17.27/3.78 % fd_pseudo_cond 7
% 17.27/3.78 % AC symbols 0
% 17.27/3.78
% 17.27/3.78 % ------ Schedule dynamic 5 is on
% 17.27/3.78
% 17.27/3.78 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.27/3.78
% 17.27/3.78
% 17.27/3.78 % ------
% 17.27/3.78 % Current options:
% 17.27/3.78 % ------
% 17.27/3.78
% 17.27/3.78
% 17.27/3.78 %
% 17.27/3.78
% 17.27/3.78 % ------ Proving...
% 17.27/3.78 %
% 17.27/3.78
% 17.27/3.78 % SZS status Unsatisfiable for theBenchmark.p
% 17.27/3.78
% 17.27/3.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.27/3.78
% 17.27/3.78
%------------------------------------------------------------------------------