%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC364-1 : 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 : n001.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 03:09:28 PM UTC 2026
% Result : Unsatisfiable 1.20s 1.18s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f254ERROR: Could not build tree for root c_3939ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).
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(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f212,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f213,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk3) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f214,plain,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk3) ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f223,plain,
( ~ neq(sk4,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f215,f204,f205]) ).
fof(f238,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
tcf(c_255,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_320,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_435,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_436,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_437,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f254]) ).
tcf(c_441,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_442,negated_conjecture,
( ( app(cons(sk5,nil),sk3) = sk4 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_443,negated_conjecture,
( ~ segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_532,plain,
app(sk4,nil) = sk4,
inference(superposition,[status(thm)],[c_436,c_320]) ).
tcf(c_563,negated_conjecture,
app(cons(sk5,nil),sk3) = sk4,
inference(global_subsumption_just,[status(thm)],[c_442,c_437,c_442]) ).
tcf(c_740,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(cons(sk5,nil))
| ~ ssList(app(app(cons(sk5,nil),sk3),X0)) ),
inference(superposition,[status(thm)],[c_563,c_420]) ).
tcf(c_1536,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(app(app(cons(sk5,nil),sk3),X0))
| ~ ssList(cons(sk5,nil))
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_740,c_435,c_740]) ).
tcf(c_1537,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(cons(sk5,nil))
| ~ ssList(app(app(cons(sk5,nil),sk3),X0)) ),
inference(renaming,[status(thm)],[c_1536]) ).
tcf(c_1543,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(cons(sk5,nil))
| ~ ssList(app(sk4,X0)) ),
inference(light_normalisation,[status(thm)],[c_1537,c_563]) ).
tcf(c_1552,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ ssList(app(sk4,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[status(thm)],[c_532,c_1543]) ).
tcf(c_3930,plain,
( ~ ssList(app(sk4,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(global_subsumption_just,[status(thm)],[c_1552,c_255,c_437,c_443,c_1552]) ).
tcf(c_3934,plain,
( ~ ssList(sk4)
| ~ ssList(cons(sk5,nil)) ),
inference(light_normalisation,[status(thm)],[c_3930,c_532]) ).
tcf(c_3937,plain,
~ ssList(cons(sk5,nil)),
inference(forward_subsumption_resolution,[status(thm)],[c_3934,c_436]) ).
tcf(c_3938,plain,
( ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_333,c_3937]) ).
tcf(c_3939,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3938,c_441,c_437,c_255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC364-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 17:57:08 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 1.20/1.18 % SZS status Started for theBenchmark.p
% 1.20/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.20/1.18
% 1.20/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.20/1.18
% 1.20/1.18 % ------ iProver source info
% 1.20/1.18
% 1.20/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 1.20/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.20/1.18 % git: non_committed_changes: false
% 1.20/1.18
% 1.20/1.18 % ------ Parsing...% successful
% 1.20/1.18
% 1.20/1.18
% 1.20/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.20/1.18 % ------ Proving...
% 1.20/1.18 % ------ Problem Properties
% 1.20/1.18
% 1.20/1.18 %
% 1.20/1.18 % clauses 196
% 1.20/1.18 % conjectures 11
% 1.20/1.18 % EPR 65
% 1.20/1.18 % Horn 161
% 1.20/1.18 % unary 59
% 1.20/1.18 % binary 32
% 1.20/1.18 % lits 591
% 1.20/1.18 % lits eq 76
% 1.20/1.18 % fd_pure 0
% 1.20/1.18 % fd_pseudo 0
% 1.20/1.18 % fd_cond 17
% 1.20/1.18 % fd_pseudo_cond 17
% 1.20/1.18 % AC symbols 0
% 1.20/1.18
% 1.20/1.18 % ------ Input Options Time Limit: Unbounded
% 1.20/1.18
% 1.20/1.18
% 1.20/1.18 % ------
% 1.20/1.18 % Current options:
% 1.20/1.18 % ------
% 1.20/1.18
% 1.20/1.18
% 1.20/1.18 %
% 1.20/1.18
% 1.20/1.18 % ------ Proving...
% 1.20/1.18 %
% 1.20/1.18
% 1.20/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.20/1.18
% 1.20/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.20/1.18
% 1.20/1.18
%------------------------------------------------------------------------------