%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV191+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 : n004.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 03:16:38 PM UTC 2026
% Result : Theorem 4.39s 1.36s
% Output : CNFRefutation 4.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 17 unt; 0 def)
% Number of atoms : 206 ( 146 equ)
% Maximal formula atoms : 32 ( 6 avg)
% Number of connectives : 196 ( 23 ~; 14 |; 153 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 17 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 36 !; 4 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
fof(f28,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(f53,conjecture,
( ( 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,tptp_minus_1)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(z_defuse,X0,X1) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0002) ).
fof(f54,negated_conjecture,
~ ( ( 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,tptp_minus_1)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(z_defuse,X0,X1) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f87,plain,
( 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,tptp_minus_1)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0)
& use != a_select3(z_defuse,X0,X1) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f88,plain,
( 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,tptp_minus_1)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0)
& use != a_select3(z_defuse,X0,X1) ) ),
inference(flattening,[],[f87]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(flattening,[],[f96]) ).
fof(f110,plain,
( 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,tptp_minus_1)
& leq(sK0,n2)
& leq(n0,sK1)
& leq(n0,sK0)
& use != a_select3(z_defuse,sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f88]) ).
fof(f112,plain,
! [X0,X1] :
( ( ~ leq(X0,X1)
| gt(succ(X1),X0) )
& ( ~ gt(succ(X1),X0)
| leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f140,plain,
leq(sK1,tptp_minus_1),
inference(cnf_transformation,[],[f110]) ).
fof(f142,plain,
leq(n0,sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f149,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f162,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f197,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f200,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f206,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(plus(n1,X1),X0) ),
inference(definition_unfolding,[],[f149,f200]) ).
fof(f208,plain,
n0 = plus(n1,tptp_minus_1),
inference(definition_unfolding,[],[f162,f200]) ).
tcf(c_51,negated_conjecture,
leq(n0,sK1),
inference(cnf_transformation,[],[f142]) ).
tcf(c_53,negated_conjecture,
leq(sK1,tptp_minus_1),
inference(cnf_transformation,[],[f140]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( gt(plus(n1,X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_98,plain,
plus(n1,tptp_minus_1) = n0,
inference(cnf_transformation,[],[f208]) ).
tcf(c_133,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f197]) ).
tcf(c_1749,plain,
! [X0: $i] : ~ leq(plus(n1,X0),X0),
inference(superposition,[status(thm)],[c_86,c_133]) ).
tcf(c_1910,plain,
~ leq(n0,tptp_minus_1),
inference(superposition,[status(thm)],[c_98,c_1749]) ).
tcf(c_2483,plain,
! [X0: $i] :
( leq(n0,X0)
| ~ leq(sK1,X0) ),
inference(superposition,[status(thm)],[c_51,c_90]) ).
tcf(c_3005,plain,
leq(n0,tptp_minus_1),
inference(superposition,[status(thm)],[c_53,c_2483]) ).
tcf(c_3013,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3005,c_1910]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV191+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 % Computer : n004.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Thu Sep 24 18:43:54 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 0.13/0.45
% 0.13/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.45
% 0.13/0.45 % Detected problem language: tptp
% 0.19/0.47 % Proving...
% 4.39/1.36 % SZS status Started for theBenchmark.p
% 4.39/1.36 % SZS status Theorem for theBenchmark.p
% 4.39/1.36
% 4.39/1.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.39/1.36
% 4.39/1.36 % ------ iProver source info
% 4.39/1.36
% 4.39/1.36 % git: date: 2026-07-19 20:42:38 +0200
% 4.39/1.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.39/1.36 % git: non_committed_changes: false
% 4.39/1.36
% 4.39/1.36 % ------ Parsing...
% 4.39/1.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.39/1.36
% 4.39/1.36 % ------ Preprocessing... sup_sim: 10 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.39/1.36
% 4.39/1.36 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.39/1.36
% 4.39/1.36 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.39/1.36 % ------ Proving...
% 4.39/1.36 % ------ Problem Properties
% 4.39/1.36
% 4.39/1.36 %
% 4.39/1.36 % clauses 88
% 4.39/1.36 % conjectures 32
% 4.39/1.36 % EPR 38
% 4.39/1.36 % Horn 81
% 4.39/1.36 % unary 71
% 4.39/1.36 % binary 7
% 4.39/1.36 % lits 130
% 4.39/1.36 % lits eq 66
% 4.39/1.36 % fd_pure 0
% 4.39/1.36 % fd_pseudo 0
% 4.39/1.36 % fd_cond 6
% 4.39/1.36 % fd_pseudo_cond 2
% 4.39/1.36 % AC symbols 0
% 4.39/1.36
% 4.39/1.36 % ------ Schedule dynamic 5 is on
% 4.39/1.36
% 4.39/1.36 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.39/1.36
% 4.39/1.36
% 4.39/1.36 % ------
% 4.39/1.36 % Current options:
% 4.39/1.36 % ------
% 4.39/1.36
% 4.39/1.36
% 4.39/1.36 %
% 4.39/1.36
% 4.39/1.36 % ------ Proving...
% 4.39/1.36 %
% 4.39/1.36
% 4.39/1.36 % SZS status Theorem for theBenchmark.p
% 4.39/1.36
% 4.39/1.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.39/1.37
% 4.39/1.37
%------------------------------------------------------------------------------