%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC052-1 : 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 : n009.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 03:07:41 PM UTC 2026
% Result : Unsatisfiable 10.02s 12.17s
% Output : CNFRefutation 10.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 73 ( 27 unt; 0 def)
% Number of atoms : 174 ( 30 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 211 ( 110 ~; 101 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f143,axiom,
! [X0,X1] :
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).
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(f206,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk3,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( neq(sk2,nil)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f213,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f214,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f217,plain,
( neq(sk4,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f211,f204,f204]) ).
fof(f218,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk4 ),
inference(definition_unfolding,[],[f212,f204,f204,f205]) ).
fof(f219,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f213,f205,f204]) ).
fof(f220,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil != sk3 ),
inference(definition_unfolding,[],[f214,f205,f204,f205]) ).
fof(f235,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_256,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_322,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_421,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,[],[f235]) ).
tcf(c_436,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_437,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_438,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_439,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_440,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_441,negated_conjecture,
( frontsegP(sk4,sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_442,negated_conjecture,
( frontsegP(sk3,sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_443,negated_conjecture,
( neq(sk4,nil)
| ( sk4 = nil ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_444,negated_conjecture,
! [X0: $i] :
( ( sk4 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_445,negated_conjecture,
( neq(sk4,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_446,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil)
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_554,negated_conjecture,
ssList(sk5),
inference(global_subsumption_just,[status(thm)],[c_439,c_439,c_443,c_445,c_438]) ).
tcf(c_562,negated_conjecture,
neq(sk4,nil),
inference(global_subsumption_just,[status(thm)],[c_443,c_443,c_445,c_438]) ).
tcf(c_564,negated_conjecture,
frontsegP(sk3,sk5),
inference(global_subsumption_just,[status(thm)],[c_442,c_443,c_442,c_445,c_438]) ).
tcf(c_566,negated_conjecture,
frontsegP(sk4,sk5),
inference(global_subsumption_just,[status(thm)],[c_441,c_443,c_441,c_445,c_438]) ).
tcf(c_568,negated_conjecture,
neq(sk5,nil),
inference(global_subsumption_just,[status(thm)],[c_440,c_440,c_562]) ).
tcf(c_578,plain,
! [X0: $i] :
( ~ neq(X0,nil)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_444,c_438,c_444,c_446]) ).
tcf(c_579,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(renaming,[status(thm)],[c_578]) ).
tcf(c_580,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_579]) ).
tcf(c_3015,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( nil != nil )
| ( X0 != sk5 ) ),
inference(resolution_lifted,[status(thm)],[c_568,c_580]) ).
tcf(c_3016,plain,
( ~ ssList(sk5)
| ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5) ),
inference(unflattening,[status(thm)],[c_3015]) ).
tcf(c_3017,plain,
( ~ segmentP(sk3,sk5)
| ~ segmentP(sk4,sk5) ),
inference(global_subsumption_just,[status(thm)],[c_3016,c_554,c_3016]) ).
tcf(c_3018,plain,
( ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5) ),
inference(renaming,[status(thm)],[c_3017]) ).
tcf(c_6615,plain,
( ~ segmentP(sk4,sk5)
| ~ segmentP(sk3,sk5) ),
inference(demodulation,[status(thm)],[c_3018]) ).
tcf(c_6618,negated_conjecture,
frontsegP(sk4,sk5),
inference(demodulation,[status(thm)],[c_566]) ).
tcf(c_6619,negated_conjecture,
frontsegP(sk3,sk5),
inference(demodulation,[status(thm)],[c_564]) ).
tcf(c_6620,negated_conjecture,
ssList(sk5),
inference(demodulation,[status(thm)],[c_554]) ).
tcf(c_6621,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_437]) ).
tcf(c_6622,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_9457,plain,
app(nil,sk5) = sk5,
inference(superposition,[status(thm)],[c_6620,c_322]) ).
tcf(c_13022,plain,
( ( app(sk5,skaf45(sk4,sk5)) = sk4 )
| ~ ssList(sk5)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_6618,c_380]) ).
tcf(c_13023,plain,
( ( app(sk5,skaf45(sk3,sk5)) = sk3 )
| ~ ssList(sk5)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_6619,c_380]) ).
tcf(c_13060,plain,
app(sk5,skaf45(sk3,sk5)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_13023,c_6620,c_6622]) ).
tcf(c_13061,plain,
app(sk5,skaf45(sk4,sk5)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_13022,c_6620,c_6621]) ).
tcf(c_19453,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(sk5)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk5),X0)) ),
inference(superposition,[status(thm)],[c_9457,c_421]) ).
tcf(c_19478,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(sk5)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sk5,X0)) ),
inference(light_normalisation,[status(thm)],[c_19453,c_9457]) ).
tcf(c_19479,plain,
! [X0: $i] :
( segmentP(app(sk5,X0),sk5)
| ~ ssList(X0)
| ~ ssList(app(sk5,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19478,c_6620,c_256]) ).
tcf(c_21387,plain,
( segmentP(sk4,sk5)
| ~ ssList(skaf45(sk4,sk5))
| ~ ssList(app(sk5,skaf45(sk4,sk5))) ),
inference(superposition,[status(thm)],[c_13061,c_19479]) ).
tcf(c_21388,plain,
( segmentP(sk3,sk5)
| ~ ssList(skaf45(sk3,sk5))
| ~ ssList(app(sk5,skaf45(sk3,sk5))) ),
inference(superposition,[status(thm)],[c_13060,c_19479]) ).
tcf(c_21395,plain,
( segmentP(sk3,sk5)
| ~ ssList(sk3)
| ~ ssList(skaf45(sk3,sk5)) ),
inference(light_normalisation,[status(thm)],[c_21388,c_13060]) ).
tcf(c_21396,plain,
segmentP(sk3,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_21395,c_6622,c_299]) ).
tcf(c_21397,plain,
( segmentP(sk4,sk5)
| ~ ssList(sk4)
| ~ ssList(skaf45(sk4,sk5)) ),
inference(light_normalisation,[status(thm)],[c_21387,c_13061]) ).
tcf(c_21398,plain,
segmentP(sk4,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_21397,c_6621,c_299]) ).
tcf(c_21414,plain,
~ segmentP(sk4,sk5),
inference(backward_subsumption_resolution,[status(thm)],[c_6615,c_21396]) ).
tcf(c_21415,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_21414,c_21398]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC052-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/10.37 % Computer : n009.cluster.edu
% 0.10/10.37 % Model : x86_64 x86_64
% 0.10/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37 % Memory : 8046.5625MB
% 0.10/10.37 % OS : Linux 6.8.0-71-generic
% 0.10/10.37 % CPULimit : 300
% 0.10/10.37 % WCLimit : 300
% 0.10/10.37 % DateTime : Thu Sep 24 16:07:40 UTC 2026
% 0.10/10.37 % CPUTime :
% 0.10/10.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/10.41 Running first-order theorem proving
% 0.15/10.41 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
% 0.15/10.42
% 0.15/10.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.42
% 0.15/10.42 % Detected problem language: tptp
% 0.15/10.43 % Proving...
% 10.02/12.17 % SZS status Started for theBenchmark.p
% 10.02/12.17 % SZS status Unsatisfiable for theBenchmark.p
% 10.02/12.17
% 10.02/12.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.02/12.17
% 10.02/12.17 % ------ iProver source info
% 10.02/12.17
% 10.02/12.17 % git: date: 2026-07-19 20:42:38 +0200
% 10.02/12.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.02/12.17 % git: non_committed_changes: false
% 10.02/12.17
% 10.02/12.17 % ------ Parsing...% successful
% 10.02/12.17
% 10.02/12.17
% 10.02/12.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.02/12.17
% 10.02/12.17 % ------ 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 %
% 10.02/12.17
% 10.02/12.17 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.02/12.17
% 10.02/12.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.02/12.17 % ------ Proving...
% 10.02/12.17 % ------ Problem Properties
% 10.02/12.17
% 10.02/12.17 %
% 10.02/12.17 % clauses 187
% 10.02/12.17 % conjectures 5
% 10.02/12.17 % EPR 62
% 10.02/12.17 % Horn 159
% 10.02/12.17 % unary 65
% 10.02/12.17 % binary 23
% 10.02/12.17 % lits 556
% 10.02/12.17 % lits eq 72
% 10.02/12.17 % fd_pure 0
% 10.02/12.17 % fd_pseudo 0
% 10.02/12.17 % fd_cond 16
% 10.02/12.17 % fd_pseudo_cond 14
% 10.02/12.17 % AC symbols 0
% 10.02/12.17
% 10.02/12.17 % ------ Schedule dynamic 5 is on
% 10.02/12.17
% 10.02/12.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.02/12.17
% 10.02/12.17
% 10.02/12.17 % ------
% 10.02/12.17 % Current options:
% 10.02/12.17 % ------
% 10.02/12.17
% 10.02/12.17
% 10.02/12.17 %
% 10.02/12.17
% 10.02/12.17 % ------ Proving...
% 10.02/12.17 %
% 10.02/12.17
% 10.02/12.17 % SZS status Unsatisfiable for theBenchmark.p
% 10.02/12.17
% 10.02/12.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.02/12.17
% 10.02/12.17
%------------------------------------------------------------------------------