%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV104+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 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 03:16:26 PM UTC 2026
% Result : Theorem 4.30s 1.17s
% Output : CNFRefutation 4.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 24 unt; 0 def)
% Number of atoms : 132 ( 116 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 131 ( 46 ~; 49 |; 33 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 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 : 12 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(f48,axiom,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( a_select2(X2,X1) = X3
& X0 != X1 )
=> a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
fof(f53,conjecture,
( ( a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use )
=> ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0016) ).
fof(f54,negated_conjecture,
~ ( ( a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use )
=> ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
fof(f74,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
fof(f75,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
fof(f87,plain,
( a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f88,plain,
( a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0) ) ),
inference(flattening,[],[f87]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(X2,X1) != X3
| X0 = X1
| a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(ennf_transformation,[],[f49]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(X2,X1) != X3
| X0 = X1
| a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(flattening,[],[f93]) ).
fof(f120,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f88]) ).
fof(f121,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f88]) ).
fof(f122,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f88]) ).
fof(f123,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] :
( a_select2(X2,X1) != X3
| X0 = X1
| a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(cnf_transformation,[],[f94]) ).
fof(f129,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f48]) ).
fof(f149,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f75]) ).
fof(f150,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f74]) ).
fof(f158,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f177,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f208,plain,
! [X2,X0,X1,X4] :
( X0 = X1
| a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1) ),
inference(equality_resolution,[],[f128]) ).
tcf(c_49,negated_conjecture,
( ( a_select3(u_defuse,n2,n0) != use )
| ( a_select3(u_defuse,n1,n0) != use )
| ( a_select3(u_defuse,n0,n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use ) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_50,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[],[f122]) ).
tcf(c_51,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[],[f121]) ).
tcf(c_52,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[],[f120]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( a_select2(tptp_update2(X0,X1,X2),X3) = a_select2(X0,X3) ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f129]) ).
tcf(c_81,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f149]) ).
tcf(c_82,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f150]) ).
tcf(c_90,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f158]) ).
tcf(c_109,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f177]) ).
tcf(c_141,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) != use ) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_52,c_51,c_50,c_49]) ).
tcf(c_142,negated_conjecture,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use ) ),
inference(renaming,[status(thm)],[c_141]) ).
tcf(c_331,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_142,c_61]) ).
tcf(c_2729,plain,
( ( n3 = n5 )
| ( a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use ) ),
inference(superposition,[status(thm)],[c_60,c_331]) ).
tcf(c_2783,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3) != use ) ),
inference(superposition,[status(thm)],[c_60,c_2729]) ).
tcf(c_2784,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3) != use ) ),
inference(ground_joinability,[status(thm)],[c_2783,c_61]) ).
tcf(c_2794,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( a_select2(tptp_update2(xinit_defuse,n3,use),n3) != use ) ),
inference(superposition,[status(thm)],[c_60,c_2784]) ).
tcf(c_2795,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 ) ),
inference(ground_joinability,[status(thm)],[c_2794,c_61]) ).
tcf(c_2821,plain,
( gt(n4,n4)
| ( n3 = n5 )
| ( n3 = n4 ) ),
inference(superposition,[status(thm)],[c_2795,c_90]) ).
tcf(c_2827,plain,
( ( n3 = n5 )
| ( n3 = n4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2821,c_109]) ).
tcf(c_2851,plain,
( gt(n3,n3)
| ( n3 = n4 ) ),
inference(superposition,[status(thm)],[c_2827,c_81]) ).
tcf(c_2856,plain,
n3 = n4,
inference(forward_subsumption_resolution,[status(thm)],[c_2851,c_109]) ).
tcf(c_2881,plain,
gt(n3,n3),
inference(demodulation,[status(thm)],[c_82,c_2856]) ).
tcf(c_2886,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2881,c_109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV104+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.33 % Computer : n009.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Thu Sep 24 18:31:28 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 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
% 0.11/0.39 % Proving...
% 4.30/1.17 % SZS status Started for theBenchmark.p
% 4.30/1.17 % SZS status Theorem for theBenchmark.p
% 4.30/1.17
% 4.30/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.30/1.17
% 4.30/1.17 % ------ iProver source info
% 4.30/1.17
% 4.30/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 4.30/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.30/1.17 % git: non_committed_changes: false
% 4.30/1.17
% 4.30/1.17 % ------ Parsing...
% 4.30/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.30/1.17
% 4.30/1.17 % ------ Preprocessing... sup_sim: 10 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.30/1.17
% 4.30/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.30/1.17
% 4.30/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.30/1.17 % ------ Proving...
% 4.30/1.17 % ------ Problem Properties
% 4.30/1.17
% 4.30/1.17 %
% 4.30/1.17 % clauses 68
% 4.30/1.17 % conjectures 6
% 4.30/1.17 % EPR 34
% 4.30/1.17 % Horn 58
% 4.30/1.17 % unary 46
% 4.30/1.17 % binary 9
% 4.30/1.17 % lits 121
% 4.30/1.17 % lits eq 53
% 4.30/1.17 % fd_pure 0
% 4.30/1.17 % fd_pseudo 0
% 4.30/1.17 % fd_cond 6
% 4.30/1.17 % fd_pseudo_cond 3
% 4.30/1.17 % AC symbols 0
% 4.30/1.17
% 4.30/1.17 % ------ Schedule dynamic 5 is on
% 4.30/1.17
% 4.30/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.30/1.17
% 4.30/1.17
% 4.30/1.17 % ------
% 4.30/1.17 % Current options:
% 4.30/1.17 % ------
% 4.30/1.17
% 4.30/1.17
% 4.30/1.17 %
% 4.30/1.17
% 4.30/1.17 % ------ Proving...
% 4.30/1.17 %
% 4.30/1.17
% 4.30/1.17 % SZS status Theorem for theBenchmark.p
% 4.30/1.17
% 4.30/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.30/1.17
% 4.30/1.17
%------------------------------------------------------------------------------