%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC090-1 : 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 : 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 03:07:51 PM UTC 2026
% Result : Unsatisfiable 4.12s 1.20s
% Output : CNFRefutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 77 ( 36 unt; 0 def)
% Number of atoms : 184 ( 35 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 220 ( 113 ~; 107 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?; 29 :)
% 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(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
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(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,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
app(sk5,sk6) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
sk4 = app(sk5,sk6),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
app(sk6,sk5) = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
sk3 = app(sk6,sk5),
inference(reorient_equations,[],[f212]) ).
fof(f216,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f217,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f221,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_248,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_249,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_250,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f216]) ).
tcf(c_251,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_252,negated_conjecture,
ssList(sk5),
inference(cnf_transformation,[],[f208]) ).
tcf(c_253,negated_conjecture,
ssList(sk6),
inference(cnf_transformation,[],[f209]) ).
tcf(c_254,negated_conjecture,
app(sk5,sk6) = sk4,
inference(cnf_transformation,[],[f211]) ).
tcf(c_255,negated_conjecture,
app(sk6,sk5) = sk3,
inference(cnf_transformation,[],[f213]) ).
tcf(c_259,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_260,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_261,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_263,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_264,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,[],[f221]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_588,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( X2 != nil )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_251,c_263]) ).
tcf(c_589,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(unflattening,[status(thm)],[c_588]) ).
tcf(c_591,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_589,c_261,c_589]) ).
tcf(c_592,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(renaming,[status(thm)],[c_591]) ).
tcf(c_605,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( nil != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_251,c_250]) ).
tcf(c_606,plain,
( ~ ssList(sk4)
| ~ segmentP(sk4,sk4)
| ~ segmentP(sk3,sk4) ),
inference(unflattening,[status(thm)],[c_605]) ).
tcf(c_607,plain,
( ~ segmentP(sk3,sk4)
| ~ segmentP(sk4,sk4) ),
inference(global_subsumption_just,[status(thm)],[c_606,c_249,c_606]) ).
tcf(c_608,plain,
( ~ segmentP(sk4,sk4)
| ~ segmentP(sk3,sk4) ),
inference(renaming,[status(thm)],[c_607]) ).
tcf(c_1289,plain,
app(nil,sk4) = sk4,
inference(superposition,[status(thm)],[c_249,c_259]) ).
tcf(c_1291,plain,
app(nil,sk6) = sk6,
inference(superposition,[status(thm)],[c_253,c_259]) ).
tcf(c_1315,plain,
app(sk4,nil) = sk4,
inference(superposition,[status(thm)],[c_249,c_260]) ).
tcf(c_1316,plain,
app(sk5,nil) = sk5,
inference(superposition,[status(thm)],[c_252,c_260]) ).
tcf(c_2256,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk6)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssList(X0)
| ~ ssList(app(app(sk5,sk6),X0)) ),
inference(superposition,[status(thm)],[c_254,c_264]) ).
tcf(c_2260,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk4)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk4),X0)) ),
inference(superposition,[status(thm)],[c_1289,c_264]) ).
tcf(c_2262,plain,
! [X0: $i] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sk6),X0)) ),
inference(superposition,[status(thm)],[c_1291,c_264]) ).
tcf(c_2324,plain,
! [X0: $i] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sk6,X0)) ),
inference(light_normalisation,[status(thm)],[c_2262,c_1291]) ).
tcf(c_2325,plain,
! [X0: $i] :
( segmentP(app(sk6,X0),sk6)
| ~ ssList(X0)
| ~ ssList(app(sk6,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2324,c_253,c_261]) ).
tcf(c_2334,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk4)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(light_normalisation,[status(thm)],[c_2260,c_1289]) ).
tcf(c_2335,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2334,c_261,c_249]) ).
tcf(c_2349,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk6)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(light_normalisation,[status(thm)],[c_2256,c_254]) ).
tcf(c_2350,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk6)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2349,c_253,c_252]) ).
tcf(c_2563,plain,
! [X0: $i] :
( ssList(app(sk4,X0))
| ~ ssList(sk4)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_275]) ).
tcf(c_4828,plain,
( segmentP(sk3,sk6)
| ~ ssList(sk5)
| ~ ssList(app(sk6,sk5)) ),
inference(superposition,[status(thm)],[c_255,c_2325]) ).
tcf(c_4834,plain,
( segmentP(sk3,sk6)
| ~ ssList(sk5)
| ~ ssList(sk3) ),
inference(light_normalisation,[status(thm)],[c_4828,c_255]) ).
tcf(c_4835,plain,
segmentP(sk3,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_4834,c_252,c_248]) ).
tcf(c_4861,plain,
( ( nil = sk6 )
| ~ ssList(sk6)
| ~ segmentP(sk4,sk6) ),
inference(superposition,[status(thm)],[c_4835,c_592]) ).
tcf(c_4862,plain,
( ( nil = sk6 )
| ~ segmentP(sk4,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4861,c_253]) ).
tcf(c_5263,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk4)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2335,c_249,c_2335,c_2563]) ).
tcf(c_5270,plain,
( segmentP(sk4,sk4)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_1315,c_5263]) ).
tcf(c_5274,plain,
segmentP(sk4,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_5270,c_261]) ).
tcf(c_5289,plain,
~ segmentP(sk3,sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_608,c_5274]) ).
tcf(c_5404,plain,
! [X0: $i] :
( segmentP(app(sk4,X0),sk6)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2350,c_249,c_2350,c_2563]) ).
tcf(c_5411,plain,
( segmentP(sk4,sk6)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_1315,c_5404]) ).
tcf(c_5414,plain,
segmentP(sk4,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_5411,c_261]) ).
tcf(c_5426,plain,
nil = sk6,
inference(backward_subsumption_resolution,[status(thm)],[c_4862,c_5414]) ).
tcf(c_5460,plain,
app(nil,sk5) = sk3,
inference(demodulation,[status(thm)],[c_255,c_5426]) ).
tcf(c_5461,plain,
app(sk5,nil) = sk4,
inference(demodulation,[status(thm)],[c_254,c_5426]) ).
tcf(c_5463,plain,
sk4 = sk5,
inference(demodulation,[status(thm)],[c_1316,c_5461]) ).
tcf(c_5531,plain,
sk3 = sk4,
inference(light_normalisation,[status(thm)],[c_5460,c_1289,c_5463]) ).
tcf(c_5534,plain,
~ segmentP(sk4,sk4),
inference(demodulation,[status(thm)],[c_5289,c_5531]) ).
tcf(c_5555,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5534,c_5274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC090-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 16:20:39 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 4.12/1.20 % SZS status Started for theBenchmark.p
% 4.12/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.12/1.20
% 4.12/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.12/1.20
% 4.12/1.20 % ------ iProver source info
% 4.12/1.20
% 4.12/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 4.12/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.12/1.20 % git: non_committed_changes: false
% 4.12/1.20
% 4.12/1.20 % ------ Parsing...% successful
% 4.12/1.20
% 4.12/1.20
% 4.12/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.12/1.20
% 4.12/1.20 % ------ 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 %
% 4.12/1.20
% 4.12/1.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.12/1.20
% 4.12/1.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.12/1.20 % ------ Proving...
% 4.12/1.20 % ------ Problem Properties
% 4.12/1.20
% 4.12/1.20 %
% 4.12/1.20 % clauses 27
% 4.12/1.20 % conjectures 6
% 4.12/1.20 % EPR 14
% 4.12/1.20 % Horn 27
% 4.12/1.20 % unary 10
% 4.12/1.20 % binary 5
% 4.12/1.20 % lits 74
% 4.12/1.20 % lits eq 18
% 4.12/1.20 % fd_pure 0
% 4.12/1.20 % fd_pseudo 0
% 4.12/1.20 % fd_cond 4
% 4.12/1.20 % fd_pseudo_cond 3
% 4.12/1.20 % AC symbols 0
% 4.12/1.20
% 4.12/1.20 % ------ Schedule dynamic 5 is on
% 4.12/1.20
% 4.12/1.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.12/1.20
% 4.12/1.20
% 4.12/1.20 % ------
% 4.12/1.20 % Current options:
% 4.12/1.20 % ------
% 4.12/1.20
% 4.12/1.20
% 4.12/1.20 %
% 4.12/1.20
% 4.12/1.20 % ------ Proving...
% 4.12/1.20 %
% 4.12/1.20
% 4.12/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.12/1.20
% 4.12/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.12/1.20
%------------------------------------------------------------------------------