%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC355-1 : 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 : 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 03:09:26 PM UTC 2026
% Result : Unsatisfiable 3.35s 1.19s
% Output : CNFRefutation 3.35s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f230ERROR: Could not build tree for root c_2858ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
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(f212,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk3,cons(sk5,nil)) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,plain,
( ~ neq(sk4,nil)
| sk4 = app(sk3,cons(sk5,nil)) ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
( ~ neq(sk4,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f223,plain,
( ~ neq(sk4,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f215,f204,f205]) ).
fof(f228,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_250,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_251,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_252,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f230]) ).
tcf(c_256,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_257,negated_conjecture,
( ( app(sk3,cons(sk5,nil)) = sk4 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_258,negated_conjecture,
( ~ segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_264,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_266,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_280,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,[],[f228]) ).
tcf(c_314,negated_conjecture,
~ segmentP(sk4,sk3),
inference(global_subsumption_just,[status(thm)],[c_258,c_252,c_258]) ).
tcf(c_320,negated_conjecture,
app(sk3,cons(sk5,nil)) = sk4,
inference(global_subsumption_just,[status(thm)],[c_257,c_252,c_257]) ).
tcf(c_1609,plain,
app(nil,sk3) = sk3,
inference(superposition,[status(thm)],[c_250,c_264]) ).
tcf(c_1939,plain,
! [X0: $i] :
( ssList(cons(sk5,X0))
| ~ ssItem(sk5)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_275]) ).
tcf(c_1940,plain,
( ssList(cons(sk5,nil))
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_1939]) ).
tcf(c_2400,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk3),X0)) ),
inference(superposition,[status(thm)],[c_1609,c_280]) ).
tcf(c_2433,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) ),
inference(light_normalisation,[status(thm)],[c_2400,c_1609]) ).
tcf(c_2434,plain,
! [X0: $i] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0)
| ~ ssList(app(sk3,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2433,c_266,c_250]) ).
tcf(c_2839,plain,
( segmentP(sk4,sk3)
| ~ ssList(cons(sk5,nil))
| ~ ssList(app(sk3,cons(sk5,nil))) ),
inference(superposition,[status(thm)],[c_320,c_2434]) ).
tcf(c_2845,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(cons(sk5,nil)) ),
inference(light_normalisation,[status(thm)],[c_2839,c_320]) ).
tcf(c_2846,plain,
~ ssList(cons(sk5,nil)),
inference(forward_subsumption_resolution,[status(thm)],[c_2845,c_314,c_251]) ).
tcf(c_2858,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2846,c_1940,c_256,c_252,c_266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC355-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % 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
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 17:53:38 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
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 3.35/1.19 % SZS status Started for theBenchmark.p
% 3.35/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.35/1.19
% 3.35/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.35/1.19
% 3.35/1.19 % ------ iProver source info
% 3.35/1.19
% 3.35/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.35/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.35/1.19 % git: non_committed_changes: false
% 3.35/1.19
% 3.35/1.19 % ------ Parsing...% successful
% 3.35/1.19
% 3.35/1.19
% 3.35/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.35/1.19
% 3.35/1.19 % ------ 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 %
% 3.35/1.19
% 3.35/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.35/1.19
% 3.35/1.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.35/1.19 % ------ Proving...
% 3.35/1.19 % ------ Problem Properties
% 3.35/1.19
% 3.35/1.19 %
% 3.35/1.19 % clauses 31
% 3.35/1.19 % conjectures 5
% 3.35/1.19 % EPR 12
% 3.35/1.19 % Horn 31
% 3.35/1.19 % unary 9
% 3.35/1.19 % binary 4
% 3.35/1.19 % lits 95
% 3.35/1.19 % lits eq 24
% 3.35/1.19 % fd_pure 0
% 3.35/1.19 % fd_pseudo 0
% 3.35/1.19 % fd_cond 3
% 3.35/1.19 % fd_pseudo_cond 5
% 3.35/1.19 % AC symbols 0
% 3.35/1.19
% 3.35/1.19 % ------ Schedule dynamic 5 is on
% 3.35/1.19
% 3.35/1.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.35/1.19
% 3.35/1.19
% 3.35/1.19 % ------
% 3.35/1.19 % Current options:
% 3.35/1.19 % ------
% 3.35/1.19
% 3.35/1.19
% 3.35/1.19 %
% 3.35/1.19
% 3.35/1.19 % ------ Proving...
% 3.35/1.19 %
% 3.35/1.19
% 3.35/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.35/1.19
% 3.35/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.35/1.19
% 3.35/1.19
%------------------------------------------------------------------------------