%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC211-1 : 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 03:08:53 PM UTC 2026
% Result : Unsatisfiable 147.02s 22.46s
% Output : CNFRefutation 147.02s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f240ERROR: Could not build tree for root c_138428ERROR: 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(f78,axiom,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil != cons(X0,X1) ),
inference(reorient_equations,[],[f98]) ).
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(f107,axiom,
! [X0] :
( nil = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f123,axiom,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f123]) ).
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(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,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk4
| app(X1,cons(X0,nil)) = sk3
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk4
| sk3 = app(X1,cons(X0,nil))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f207]) ).
fof(f209,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f213,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f214,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f209,f205]) ).
tcf(c_251,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_320,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_321,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_329,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_347,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_358,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_362,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_363,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_431,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_432,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_433,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f213]) ).
tcf(c_434,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,[],[f208]) ).
tcf(c_435,negated_conjecture,
~ neq(sk3,nil),
inference(cnf_transformation,[],[f214]) ).
tcf(c_595,plain,
! [X0: $i] :
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(prop_impl_just,[status(thm)],[c_358]) ).
tcf(c_596,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(renaming,[status(thm)],[c_595]) ).
tcf(c_1855,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != sk3 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_343,c_435]) ).
tcf(c_1856,plain,
( ( nil = sk3 )
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(unflattening,[status(thm)],[c_1855]) ).
tcf(c_1857,plain,
nil = sk3,
inference(global_subsumption_just,[status(thm)],[c_1856,c_431,c_251,c_1856]) ).
tcf(c_1870,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( X0 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_596,c_433]) ).
tcf(c_1871,plain,
( ~ ssList(sk4)
| ( sk4 != nil ) ),
inference(unflattening,[status(thm)],[c_1870]) ).
tcf(c_3876,plain,
! [X0: $i,X1: $i] :
( ( app(X1,cons(X0,nil)) = nil )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( app(cons(X0,nil),X1) != sk4 ) ),
inference(light_normalisation,[status(thm)],[c_434,c_1857]) ).
tcf(c_6751,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_6753,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9967,plain,
( ssList(tl(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_320]) ).
tcf(c_9968,plain,
( ssItem(hd(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_321]) ).
tcf(c_10265,plain,
( ( sk4 = nil )
| ( cons(hd(sk4),tl(sk4)) = sk4 )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_11441,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ( cons(hd(sk4),X0) != nil ) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_11453,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| ( cons(hd(sk4),nil) != nil ) ),
inference(instantiation,[status(thm)],[c_11441]) ).
tcf(c_11463,plain,
! [X0: $i] :
( ssList(cons(hd(sk4),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_329]) ).
tcf(c_11464,plain,
( ssList(cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_11463]) ).
tcf(c_11745,plain,
sk4 = sk4,
inference(instantiation,[status(thm)],[c_6751]) ).
tcf(c_102133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X1,X2) = nil )
| ~ ssList(X0)
| ~ ssList(cons(X1,X2))
| ( app(X0,cons(X1,X2)) != nil ) ),
inference(instantiation,[status(thm)],[c_362]) ).
tcf(c_102138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(cons(X0,nil),X1) = sk4 )
| ( sk4 != X2 )
| ( app(cons(X0,nil),X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_6753]) ).
tcf(c_102420,plain,
! [X0: $i,X1: $i] :
( ( sk4 = X0 )
| ( sk4 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_6753]) ).
tcf(c_106961,plain,
! [X0: $i] :
( ( sk4 = X0 )
| ( sk4 != sk4 )
| ( X0 != sk4 ) ),
inference(instantiation,[status(thm)],[c_102420]) ).
tcf(c_111848,plain,
( ( sk4 = cons(hd(sk4),tl(sk4)) )
| ( sk4 != sk4 )
| ( cons(hd(sk4),tl(sk4)) != sk4 ) ),
inference(instantiation,[status(thm)],[c_106961]) ).
tcf(c_117902,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X0,nil),X1) = sk4 )
| ( sk4 != cons(hd(sk4),tl(sk4)) )
| ( app(cons(X0,nil),X1) != cons(hd(sk4),tl(sk4)) ) ),
inference(instantiation,[status(thm)],[c_102138]) ).
tcf(c_124968,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_117902]) ).
tcf(c_124969,plain,
( ( app(cons(hd(sk4),nil),tl(sk4)) = cons(hd(sk4),tl(sk4)) )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_131767,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = nil )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ( app(cons(hd(sk4),nil),tl(sk4)) != sk4 ) ),
inference(instantiation,[status(thm)],[c_3876]) ).
tcf(c_138427,plain,
( ( cons(hd(sk4),nil) = nil )
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( app(tl(sk4),cons(hd(sk4),nil)) != nil ) ),
inference(instantiation,[status(thm)],[c_102133]) ).
tcf(c_138428,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_138427,c_131767,c_124969,c_124968,c_111848,c_11745,c_11464,c_11453,c_10265,c_9968,c_9967,c_1871,c_251,c_432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC211-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 17:00:54 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 147.02/22.46 % SZS status Started for theBenchmark.p
% 147.02/22.46 % SZS status Unsatisfiable for theBenchmark.p
% 147.02/22.46
% 147.02/22.46 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 147.02/22.46
% 147.02/22.46 % ------ iProver source info
% 147.02/22.46
% 147.02/22.46 % git: date: 2026-07-19 20:42:38 +0200
% 147.02/22.46 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 147.02/22.46 % git: non_committed_changes: false
% 147.02/22.46
% 147.02/22.46 % ------ Parsing...% successful
% 147.02/22.46
% 147.02/22.46
% 147.02/22.46 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 147.02/22.46
% 147.02/22.46 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 3 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 147.02/22.46
% 147.02/22.46 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 147.02/22.46
% 147.02/22.46 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 147.02/22.46 % ------ Proving...
% 147.02/22.46 % ------ Problem Properties
% 147.02/22.46
% 147.02/22.46 %
% 147.02/22.46 % clauses 182
% 147.02/22.46 % conjectures 2
% 147.02/22.46 % EPR 56
% 147.02/22.46 % Horn 154
% 147.02/22.46 % unary 62
% 147.02/22.46 % binary 21
% 147.02/22.46 % lits 549
% 147.02/22.46 % lits eq 73
% 147.02/22.46 % fd_pure 0
% 147.02/22.46 % fd_pseudo 0
% 147.02/22.46 % fd_cond 15
% 147.02/22.46 % fd_pseudo_cond 14
% 147.02/22.46 % AC symbols 0
% 147.02/22.46
% 147.02/22.46 % ------ Input Options Time Limit: Unbounded
% 147.02/22.46
% 147.02/22.46
% 147.02/22.46 % ------
% 147.02/22.46 % Current options:
% 147.02/22.46 % ------
% 147.02/22.46
% 147.02/22.46
% 147.02/22.46 %
% 147.02/22.46
% 147.02/22.46 % ------ Proving...
% 147.02/22.46 %
% 147.02/22.46
% 147.02/22.46 % SZS status Unsatisfiable for theBenchmark.p
% 147.02/22.46
% 147.02/22.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 147.02/22.47
%------------------------------------------------------------------------------