%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC008-1 : 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 : n005.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 03:07:29 PM UTC 2026
% Result : Unsatisfiable 7.29s 1.70s
% Output : CNFRefutation 7.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 19 unt; 0 def)
% Number of atoms : 65 ( 24 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 75 ( 41 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 13 :)
% 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(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
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(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,
frontsegP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
! [X2,X0,X1] :
( app(X0,X2) != sk1
| app(app(X0,X1),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f212,plain,
! [X2,X0,X1] :
( app(X0,X2) != sk3
| app(app(X0,X1),X2) != sk4
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
tcf(c_251,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_316,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_375,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
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,
frontsegP(sk4,sk3),
inference(cnf_transformation,[],[f206]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,X1),X2) != sk4 ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_6784,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,X1),X2) != sk4 ) ),
inference(demodulation,[status(thm)],[c_435]) ).
tcf(c_6786,negated_conjecture,
frontsegP(sk4,sk3),
inference(demodulation,[status(thm)],[c_433]) ).
tcf(c_6787,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_432]) ).
tcf(c_6788,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_431]) ).
tcf(c_9395,plain,
app(sk3,nil) = sk3,
inference(superposition,[status(thm)],[c_6788,c_316]) ).
tcf(c_9396,plain,
app(sk4,nil) = sk4,
inference(superposition,[status(thm)],[c_6787,c_316]) ).
tcf(c_13024,plain,
( ( app(sk3,skaf45(sk4,sk3)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_6786,c_375]) ).
tcf(c_13058,plain,
app(sk3,skaf45(sk4,sk3)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_13024,c_6787,c_6788]) ).
tcf(c_13447,plain,
! [X0: $i] :
( ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(skaf45(sk4,sk3))
| ( app(sk4,X0) != sk4 )
| ( app(sk3,X0) != sk3 ) ),
inference(superposition,[status(thm)],[c_13058,c_6784]) ).
tcf(c_13463,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( app(sk4,X0) != sk4 )
| ( app(sk3,X0) != sk3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13447,c_6788,c_294]) ).
tcf(c_13473,plain,
( ~ ssList(nil)
| ( app(sk4,nil) != sk4 )
| ( app(sk3,nil) != sk3 ) ),
inference(instantiation,[status(thm)],[c_13463]) ).
tcf(c_13474,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_13473,c_9395,c_9396,c_251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC008-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n005.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Thu Sep 24 15:53:04 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 Running first-order theorem proving
% 0.11/0.37 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
% 0.11/0.38
% 0.11/0.38 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.38
% 0.11/0.38 % Detected problem language: tptp
% 0.11/0.40 % Proving...
% 7.29/1.70 % SZS status Started for theBenchmark.p
% 7.29/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 7.29/1.70
% 7.29/1.70 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.29/1.70
% 7.29/1.70 % ------ iProver source info
% 7.29/1.70
% 7.29/1.70 % git: date: 2026-07-19 20:42:38 +0200
% 7.29/1.70 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.29/1.70 % git: non_committed_changes: false
% 7.29/1.70
% 7.29/1.70 % ------ Parsing...% successful
% 7.29/1.70
% 7.29/1.70
% 7.29/1.70 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.29/1.70
% 7.29/1.70 % ------ 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 %
% 7.29/1.70
% 7.29/1.70 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.29/1.70
% 7.29/1.70 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.29/1.70 % ------ Proving...
% 7.29/1.70 % ------ Problem Properties
% 7.29/1.70
% 7.29/1.70 %
% 7.29/1.70 % clauses 183
% 7.29/1.70 % conjectures 5
% 7.29/1.70 % EPR 57
% 7.29/1.70 % Horn 155
% 7.29/1.70 % unary 62
% 7.29/1.70 % binary 21
% 7.29/1.70 % lits 555
% 7.29/1.70 % lits eq 72
% 7.29/1.70 % fd_pure 0
% 7.29/1.70 % fd_pseudo 0
% 7.29/1.70 % fd_cond 16
% 7.29/1.70 % fd_pseudo_cond 14
% 7.29/1.70 % AC symbols 0
% 7.29/1.70
% 7.29/1.70 % ------ Schedule dynamic 5 is on
% 7.29/1.70
% 7.29/1.70 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.29/1.70
% 7.29/1.70
% 7.29/1.70 % ------
% 7.29/1.70 % Current options:
% 7.29/1.70 % ------
% 7.29/1.70
% 7.29/1.70
% 7.29/1.70 %
% 7.29/1.70
% 7.29/1.70 % ------ Proving...
% 7.29/1.70 %
% 7.29/1.70
% 7.29/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 7.29/1.70
% 7.29/1.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.29/1.70
% 7.29/1.70
%------------------------------------------------------------------------------