%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV206+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 : 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 03:16:40 PM UTC 2026
% Result : Theorem 3.87s 1.52s
% Output : CNFRefutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 282 ( 187 equ)
% Maximal formula atoms : 42 ( 12 avg)
% Number of connectives : 313 ( 53 ~; 46 |; 206 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 12 avg)
% Maximal term depth : 2 ( 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 : 19 ( 19 usr; 17 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 34 !; 6 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ! [X2,X3] :
( ( leq(X3,n998)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(z_defuse,X2,X3) = use )
& ! [X0,X1] :
( ( leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(u_defuse,X0,X1) = use )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& 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(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [X4,X5] :
( ( leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(u_defuse,X4,X5) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0017) ).
fof(f54,negated_conjecture,
~ ( ( ! [X2,X3] :
( ( leq(X3,n998)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(z_defuse,X2,X3) = use )
& ! [X0,X1] :
( ( leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(u_defuse,X0,X1) = use )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& 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(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [X4,X5] :
( ( leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(u_defuse,X4,X5) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f94,plain,
( ! [X2,X3] :
( ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(z_defuse,X2,X3) = use )
& ! [X0,X1] :
( ~ leq(X1,n998)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& 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(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ? [X4,X5] :
( leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4)
& use != a_select3(u_defuse,X4,X5) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f95,plain,
( ! [X2,X3] :
( ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(z_defuse,X2,X3) = use )
& ! [X0,X1] :
( ~ leq(X1,n998)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& 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(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ? [X4,X5] :
( leq(X5,n998)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4)
& use != a_select3(u_defuse,X4,X5) ) ),
inference(flattening,[],[f94]) ).
fof(f117,plain,
( ! [X4,X5] :
( ~ leq(X5,n998)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| use = a_select3(z_defuse,X4,X5) )
& ! [X2,X3] :
( ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3) )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& 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(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& ? [X0,X1] :
( leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0)
& use != a_select3(u_defuse,X0,X1) ) ),
inference(rectify,[],[f95]) ).
fof(f118,plain,
( ! [X4,X5] :
( ~ leq(X5,n998)
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| use = a_select3(z_defuse,X4,X5) )
& ! [X2,X3] :
( ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3) )
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& 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(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use
& leq(sK1,n998)
& leq(sK0,n2)
& leq(n0,sK1)
& leq(n0,sK0)
& use != a_select3(u_defuse,sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f117]) ).
fof(f122,plain,
! [X2,X3] :
( ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X2,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f150,plain,
leq(sK1,n998),
inference(cnf_transformation,[],[f118]) ).
fof(f151,plain,
leq(sK0,n2),
inference(cnf_transformation,[],[f118]) ).
fof(f152,plain,
leq(n0,sK1),
inference(cnf_transformation,[],[f118]) ).
fof(f153,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f118]) ).
fof(f154,plain,
use != a_select3(u_defuse,sK0,sK1),
inference(cnf_transformation,[],[f118]) ).
tcf(c_49,negated_conjecture,
a_select3(u_defuse,sK0,sK1) != use,
inference(cnf_transformation,[],[f154]) ).
tcf(c_50,negated_conjecture,
leq(n0,sK0),
inference(cnf_transformation,[],[f153]) ).
tcf(c_51,negated_conjecture,
leq(n0,sK1),
inference(cnf_transformation,[],[f152]) ).
tcf(c_52,negated_conjecture,
leq(sK0,n2),
inference(cnf_transformation,[],[f151]) ).
tcf(c_53,negated_conjecture,
leq(sK1,n998),
inference(cnf_transformation,[],[f150]) ).
tcf(c_81,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(u_defuse,X0,X1) = use )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n998)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_1762,plain,
! [X0: $i] :
( ( a_select3(u_defuse,sK0,X0) = use )
| ~ leq(sK0,n2)
| ~ leq(n0,X0)
| ~ leq(X0,n998) ),
inference(superposition,[status(thm)],[c_50,c_81]) ).
tcf(c_1773,plain,
! [X0: $i] :
( ( a_select3(u_defuse,sK0,X0) = use )
| ~ leq(n0,X0)
| ~ leq(X0,n998) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1762,c_52]) ).
tcf(c_1815,plain,
( ( a_select3(u_defuse,sK0,sK1) = use )
| ~ leq(sK1,n998) ),
inference(superposition,[status(thm)],[c_51,c_1773]) ).
tcf(c_1819,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1815,c_49,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV206+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.60 % Computer : n008.cluster.edu
% 0.10/0.60 % Model : x86_64 x86_64
% 0.10/0.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.60 % Memory : 8046.5625MB
% 0.10/0.60 % OS : Linux 6.8.0-71-generic
% 0.10/0.60 % CPULimit : 300
% 0.10/0.60 % WCLimit : 300
% 0.10/0.60 % DateTime : Thu Sep 24 18:47:01 UTC 2026
% 0.10/0.60 % CPUTime :
% 0.10/0.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.64 Running first-order theorem proving
% 0.14/0.64 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
% 0.14/0.65
% 0.14/0.65 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.65
% 0.14/0.65 % Detected problem language: tptp
% 0.14/0.67 % Proving...
% 3.87/1.52 % SZS status Started for theBenchmark.p
% 3.87/1.52 % SZS status Theorem for theBenchmark.p
% 3.87/1.52
% 3.87/1.52 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.87/1.52
% 3.87/1.52 % ------ iProver source info
% 3.87/1.52
% 3.87/1.52 % git: date: 2026-07-19 20:42:38 +0200
% 3.87/1.52 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.87/1.52 % git: non_committed_changes: false
% 3.87/1.52
% 3.87/1.52 % ------ Parsing...
% 3.87/1.52 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.87/1.52
% 3.87/1.52 % ------ Preprocessing... sup_sim: 10 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.87/1.52
% 3.87/1.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.87/1.52
% 3.87/1.52 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.87/1.52 % ------ Proving...
% 3.87/1.52 % ------ Problem Properties
% 3.87/1.52
% 3.87/1.52 %
% 3.87/1.52 % clauses 97
% 3.87/1.52 % conjectures 34
% 3.87/1.52 % EPR 45
% 3.87/1.52 % Horn 90
% 3.87/1.52 % unary 78
% 3.87/1.52 % binary 7
% 3.87/1.52 % lits 147
% 3.87/1.52 % lits eq 68
% 3.87/1.52 % fd_pure 0
% 3.87/1.52 % fd_pseudo 0
% 3.87/1.52 % fd_cond 6
% 3.87/1.52 % fd_pseudo_cond 2
% 3.87/1.52 % AC symbols 0
% 3.87/1.52
% 3.87/1.52 % ------ Schedule dynamic 5 is on
% 3.87/1.52
% 3.87/1.52 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.87/1.52
% 3.87/1.52
% 3.87/1.52 % ------
% 3.87/1.52 % Current options:
% 3.87/1.52 % ------
% 3.87/1.52
% 3.87/1.52
% 3.87/1.52 %
% 3.87/1.52
% 3.87/1.52 % ------ Proving...
% 3.87/1.52 %
% 3.87/1.52
% 3.87/1.52 % SZS status Theorem for theBenchmark.p
% 3.87/1.52
% 3.87/1.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.87/1.52
% 3.87/1.52
%------------------------------------------------------------------------------