%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV056+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 : n013.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 03:16:19 PM UTC 2026
% Result : Theorem 4.29s 16.31s
% Output : CNFRefutation 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 23 unt; 0 def)
% Number of atoms : 49 ( 24 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 35 ( 15 ~; 8 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] : sum(n0,tptp_minus_1,X0) = n0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).
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(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(f53,conjecture,
( ( leq(pv25,minus(n5,n1))
& leq(n0,pv25) )
=> ( leq(pv25,minus(n5,n1))
& leq(n0,pv25)
& n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0040) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv25,minus(n5,n1))
& leq(n0,pv25) )
=> ( leq(pv25,minus(n5,n1))
& leq(n0,pv25)
& n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f87,plain,
( leq(pv25,minus(n5,n1))
& leq(n0,pv25)
& ( ~ leq(pv25,minus(n5,n1))
| ~ leq(n0,pv25)
| n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f88,plain,
( leq(pv25,minus(n5,n1))
& leq(n0,pv25)
& ( ~ leq(pv25,minus(n5,n1))
| ~ leq(n0,pv25)
| n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) ) ),
inference(flattening,[],[f87]) ).
fof(f114,plain,
leq(pv25,minus(n5,n1)),
inference(cnf_transformation,[],[f88]) ).
fof(f115,plain,
leq(n0,pv25),
inference(cnf_transformation,[],[f88]) ).
fof(f116,plain,
( ~ leq(pv25,minus(n5,n1))
| ~ leq(n0,pv25)
| n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f128,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f26]) ).
fof(f149,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f159,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f175,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f178,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f192,plain,
n0 = plus(n1,tptp_minus_1),
inference(definition_unfolding,[],[f159,f175]) ).
fof(f204,plain,
! [X0] : minus(plus(n1,X0),n1) = X0,
inference(definition_unfolding,[],[f178,f149,f175]) ).
tcf(c_49,negated_conjecture,
( ~ leq(n0,pv25)
| ~ leq(pv25,minus(n5,n1))
| ( sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) != n0 ) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_50,negated_conjecture,
leq(n0,pv25),
inference(cnf_transformation,[],[f115]) ).
tcf(c_51,negated_conjecture,
leq(pv25,minus(n5,n1)),
inference(cnf_transformation,[],[f114]) ).
tcf(c_63,plain,
! [X0: $i] : sum(n0,tptp_minus_1,X0) = n0,
inference(cnf_transformation,[],[f128]) ).
tcf(c_93,plain,
plus(n1,tptp_minus_1) = n0,
inference(cnf_transformation,[],[f192]) ).
tcf(c_111,plain,
! [X0: $i] : minus(plus(n1,X0),n1) = X0,
inference(cnf_transformation,[],[f204]) ).
tcf(c_141,negated_conjecture,
sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) != n0,
inference(global_subsumption_just,[status(thm)],[c_49,c_50,c_51,c_49]) ).
tcf(c_1492,plain,
minus(n0,n1) = tptp_minus_1,
inference(superposition,[status(thm)],[c_93,c_111]) ).
tcf(c_1498,plain,
sum(n0,tptp_minus_1,a_select3(q,pv77,pv25)) != n0,
inference(demodulation,[status(thm)],[c_141,c_1492]) ).
tcf(c_1499,plain,
$false,
inference(ground_joinability,[status(thm)],[c_1498,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV056+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/15.39 % Computer : n013.cluster.edu
% 0.10/15.39 % Model : x86_64 x86_64
% 0.10/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.39 % Memory : 8046.5625MB
% 0.10/15.39 % OS : Linux 6.8.0-71-generic
% 0.10/15.39 % CPULimit : 300
% 0.10/15.39 % WCLimit : 300
% 0.10/15.39 % DateTime : Thu Sep 24 18:24:36 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.10/15.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/15.43 Running first-order theorem proving
% 0.15/15.43 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
% 0.15/15.44
% 0.15/15.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/15.44
% 0.15/15.44 % Detected problem language: tptp
% 0.15/15.45 % Proving...
% 4.29/16.31 % SZS status Started for theBenchmark.p
% 4.29/16.31 % SZS status Theorem for theBenchmark.p
% 4.29/16.31
% 4.29/16.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.29/16.31
% 4.29/16.31 % ------ iProver source info
% 4.29/16.31
% 4.29/16.31 % git: date: 2026-07-19 20:42:38 +0200
% 4.29/16.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.29/16.31 % git: non_committed_changes: false
% 4.29/16.31
% 4.29/16.31 % ------ Parsing...
% 4.29/16.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.29/16.31
% 4.29/16.31 % ------ Preprocessing... sup_sim: 10 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.29/16.31
% 4.29/16.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.29/16.31
% 4.29/16.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.29/16.31 % ------ Proving...
% 4.29/16.31 % ------ Problem Properties
% 4.29/16.31
% 4.29/16.31 %
% 4.29/16.31 % clauses 65
% 4.29/16.31 % conjectures 3
% 4.29/16.31 % EPR 35
% 4.29/16.31 % Horn 58
% 4.29/16.31 % unary 45
% 4.29/16.31 % binary 10
% 4.29/16.31 % lits 110
% 4.29/16.31 % lits eq 42
% 4.29/16.31 % fd_pure 0
% 4.29/16.31 % fd_pseudo 0
% 4.29/16.31 % fd_cond 6
% 4.29/16.31 % fd_pseudo_cond 2
% 4.29/16.31 % AC symbols 0
% 4.29/16.31
% 4.29/16.31 % ------ Schedule dynamic 5 is on
% 4.29/16.31
% 4.29/16.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.29/16.31
% 4.29/16.31
% 4.29/16.31 % ------
% 4.29/16.31 % Current options:
% 4.29/16.31 % ------
% 4.29/16.31
% 4.29/16.31
% 4.29/16.31 %
% 4.29/16.31
% 4.29/16.31 % ------ Proving...
% 4.29/16.31 %
% 4.29/16.31
% 4.29/16.31 % SZS status Theorem for theBenchmark.p
% 4.29/16.31
% 4.29/16.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.29/16.31
% 4.29/16.31
%------------------------------------------------------------------------------