%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC039-1 : 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 : n019.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 03:07:38 PM UTC 2026
% Result : Unsatisfiable 1.56s 1.29s
% Output : CNFRefutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 14 unt; 0 def)
% Number of atoms : 83 ( 43 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 38 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f121,axiom,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f123]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f218,negated_conjecture,
( nil = sk3
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f219,negated_conjecture,
( nil = sk3
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f222,negated_conjecture,
( nil = sk3
| app(app(sk6,sk3),sk7) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f223,plain,
( nil = sk3
| sk4 = app(app(sk6,sk3),sk7) ),
inference(reorient_equations,[],[f222]) ).
fof(f226,plain,
nil = sk4,
inference(definition_unfolding,[],[f204,f205]) ).
fof(f229,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f207,f226,f206]) ).
fof(f238,plain,
( sk3 = sk4
| ssList(sk6) ),
inference(definition_unfolding,[],[f218,f226]) ).
fof(f239,plain,
( sk3 = sk4
| ssList(sk7) ),
inference(definition_unfolding,[],[f219,f226]) ).
fof(f241,plain,
( sk3 = sk4
| sk4 = app(app(sk6,sk3),sk7) ),
inference(definition_unfolding,[],[f223,f226]) ).
fof(f248,plain,
! [X0,X1] :
( sk4 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk4 ),
inference(definition_unfolding,[],[f124,f226,f226]) ).
fof(f249,plain,
! [X0,X1] :
( sk4 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk4 ),
inference(definition_unfolding,[],[f122,f226,f226]) ).
tcf(c_258,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_260,negated_conjecture,
sk3 != sk4,
inference(cnf_transformation,[],[f229]) ).
tcf(c_262,negated_conjecture,
( ssList(sk6)
| ( sk3 = sk4 ) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_263,negated_conjecture,
( ssList(sk7)
| ( sk3 = sk4 ) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_265,negated_conjecture,
( ( sk3 = sk4 )
| ( app(app(sk6,sk3),sk7) = sk4 ) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_280,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X1 = sk4 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != sk4 ) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_281,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = sk4 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != sk4 ) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_328,negated_conjecture,
ssList(sk7),
inference(global_subsumption_just,[status(thm)],[c_263,c_260,c_263]) ).
tcf(c_330,negated_conjecture,
ssList(sk6),
inference(global_subsumption_just,[status(thm)],[c_262,c_260,c_262]) ).
tcf(c_338,negated_conjecture,
app(app(sk6,sk3),sk7) = sk4,
inference(global_subsumption_just,[status(thm)],[c_265,c_260,c_265]) ).
tcf(c_2299,plain,
( ( app(sk6,sk3) = sk4 )
| ~ ssList(sk7)
| ~ ssList(app(sk6,sk3)) ),
inference(superposition,[status(thm)],[c_338,c_281]) ).
tcf(c_2304,plain,
( ( app(sk6,sk3) = sk4 )
| ~ ssList(app(sk6,sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2299,c_328]) ).
tcf(c_2501,plain,
( ( app(sk6,sk3) = sk4 )
| ~ ssList(sk6)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_282,c_2304]) ).
tcf(c_2502,plain,
app(sk6,sk3) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_2501,c_330,c_258]) ).
tcf(c_2506,plain,
( ( sk3 = sk4 )
| ~ ssList(sk6)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_2502,c_280]) ).
tcf(c_2508,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2506,c_260,c_330,c_258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC039-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 16:03:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.56/1.29 % SZS status Started for theBenchmark.p
% 1.56/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.56/1.29
% 1.56/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.56/1.29
% 1.56/1.29 % ------ iProver source info
% 1.56/1.29
% 1.56/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.56/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.56/1.29 % git: non_committed_changes: false
% 1.56/1.29
% 1.56/1.29 % ------ Parsing...% successful
% 1.56/1.29
% 1.56/1.29
% 1.56/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.56/1.29
% 1.56/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.56/1.29
% 1.56/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.56/1.29
% 1.56/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.56/1.29 % ------ Proving...
% 1.56/1.29 % ------ Problem Properties
% 1.56/1.29
% 1.56/1.29 %
% 1.56/1.29 % clauses 43
% 1.56/1.29 % conjectures 18
% 1.56/1.29 % EPR 18
% 1.56/1.29 % Horn 40
% 1.56/1.29 % unary 9
% 1.56/1.29 % binary 5
% 1.56/1.29 % lits 149
% 1.56/1.29 % lits eq 26
% 1.56/1.29 % fd_pure 0
% 1.56/1.29 % fd_pseudo 0
% 1.56/1.29 % fd_cond 2
% 1.56/1.29 % fd_pseudo_cond 7
% 1.56/1.29 % AC symbols 0
% 1.56/1.29
% 1.56/1.29 % ------ Schedule dynamic 5 is on
% 1.56/1.29
% 1.56/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.56/1.29
% 1.56/1.29
% 1.56/1.29 % ------
% 1.56/1.29 % Current options:
% 1.56/1.29 % ------
% 1.56/1.29
% 1.56/1.29
% 1.56/1.29 %
% 1.56/1.29
% 1.56/1.29 % ------ Proving...
% 1.56/1.29 %
% 1.56/1.29
% 1.56/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.56/1.29
% 1.56/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.56/1.29
% 1.56/1.29
%------------------------------------------------------------------------------