%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV050+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 : n020.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 03:16:18 PM UTC 2026
% Result : Theorem 3.73s 1.18s
% Output : CNFRefutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 57 ( 51 unt; 10 def)
% Number of atoms : 107 ( 76 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 36 ( 16 ~; 8 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 15 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 7 :)
% 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(f29,axiom,
! [X0] : plus(X0,n1) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
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(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_pred) ).
fof(f53,conjecture,
( ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) )
=> ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0022) ).
fof(f54,negated_conjecture,
~ ( ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) )
=> ( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f136,plain,
( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& ( pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
| pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
| n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f137,plain,
( pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& ( pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
| pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
| n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) ) ),
inference(flattening,[],[f136]) ).
fof(f267,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f26]) ).
fof(f269,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f270,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f271,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f280,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f281,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f282,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f300,plain,
pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))),
inference(cnf_transformation,[],[f137]) ).
fof(f301,plain,
pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))),
inference(cnf_transformation,[],[f137]) ).
fof(f302,plain,
( pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
| pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
| n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) ),
inference(cnf_transformation,[],[f137]) ).
fof(f341,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f269,f270]) ).
fof(f342,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f271,f270]) ).
fof(f351,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f281,f280,f270]) ).
fof(f352,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f282,f270,f280]) ).
tcf(c_126,plain,
! [X0: $i] : sum(n0,tptp_minus_1,X0) = n0,
inference(cnf_transformation,[],[f267]) ).
tcf(c_128,plain,
plus(tptp_minus_1,n1) = n0,
inference(cnf_transformation,[],[f341]) ).
tcf(c_129,plain,
! [X0: $i] : plus(X0,n1) = plus(n1,X0),
inference(cnf_transformation,[],[f342]) ).
tcf(c_138,plain,
! [X0: $i] : minus(plus(X0,n1),n1) = X0,
inference(cnf_transformation,[],[f351]) ).
tcf(c_139,plain,
! [X0: $i] : plus(minus(X0,n1),n1) = X0,
inference(cnf_transformation,[],[f352]) ).
tcf(c_157,negated_conjecture,
( ( sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) != pv88 )
| ( sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) != pv86 )
| ( sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) != n0 ) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_158,negated_conjecture,
sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))) = pv86,
inference(cnf_transformation,[],[f301]) ).
tcf(c_159,negated_conjecture,
sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) = pv88,
inference(cnf_transformation,[],[f300]) ).
tcf(c_282,negated_conjecture,
sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) != n0,
inference(global_subsumption_just,[status(thm)],[c_157,c_159,c_158,c_157]) ).
tcf(c_1587,plain,
! [X0: $i] : plus(n1,minus(X0,n1)) = X0,
inference(demodulation,[status(thm)],[c_139,c_129]) ).
tcf(c_1588,plain,
plus(n1,tptp_minus_1) = n0,
inference(demodulation,[status(thm)],[c_128,c_129]) ).
tcf(c_5790,definition,
iPr_def_10 = minus(n0,n1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_5791,definition,
iPr_def_11 = a_select2(sigma,pv91),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_5792,definition,
iPr_def_12 = a_select2(sigmaold,pv91),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_5793,definition,
iPr_def_13 = minus(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_5794,definition,
iPr_def_14 = abs(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_5795,definition,
iPr_def_15 = abs(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_5796,definition,
iPr_def_16 = abs(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_5797,definition,
iPr_def_17 = plus(iPr_def_15,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_5798,definition,
iPr_def_18 = divide(iPr_def_14,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_5799,definition,
iPr_def_19 = sum(n0,iPr_def_10,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_5819,negated_conjecture,
iPr_def_19 != n0,
inference(demodulation,[status(thm)],[c_282,c_5796,c_5795,c_5797,c_5792,c_5791,c_5793,c_5794,c_5798,c_5790,c_5799]) ).
tcf(c_8862,plain,
plus(n1,iPr_def_10) = n0,
inference(superposition,[status(thm)],[c_5790,c_1587]) ).
tcf(c_8901,plain,
plus(iPr_def_10,n1) = n0,
inference(demodulation,[status(thm)],[c_8862,c_129]) ).
tcf(c_8921,plain,
! [X0: $i] : minus(plus(n1,X0),n1) = X0,
inference(superposition,[status(thm)],[c_129,c_138]) ).
tcf(c_8925,plain,
minus(n0,n1) = iPr_def_10,
inference(superposition,[status(thm)],[c_8901,c_138]) ).
tcf(c_9463,plain,
minus(n0,n1) = tptp_minus_1,
inference(superposition,[status(thm)],[c_1588,c_8921]) ).
tcf(c_9473,plain,
tptp_minus_1 = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9463,c_8925]) ).
tcf(c_9477,plain,
! [X0: $i] : sum(n0,iPr_def_10,X0) = n0,
inference(demodulation,[status(thm)],[c_126,c_9473]) ).
tcf(c_9489,plain,
n0 = iPr_def_19,
inference(demodulation,[status(thm)],[c_5799,c_9477]) ).
tcf(c_9527,plain,
iPr_def_19 != iPr_def_19,
inference(demodulation,[status(thm)],[c_5819,c_9489]) ).
tcf(c_9528,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_9527]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV050+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.37 % Computer : n020.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Thu Sep 24 18:24:48 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.43 % Detected problem language: tptp
% 0.08/0.44 % Proving...
% 3.73/1.18 % SZS status Started for theBenchmark.p
% 3.73/1.18 % SZS status Theorem for theBenchmark.p
% 3.73/1.18
% 3.73/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.73/1.18
% 3.73/1.18 % ------ iProver source info
% 3.73/1.18
% 3.73/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.73/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.73/1.18 % git: non_committed_changes: false
% 3.73/1.18
% 3.73/1.18 % ------ Parsing...
% 3.73/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.73/1.18
% 3.73/1.18 % ------ Preprocessing... sup_sim: 15 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.73/1.18
% 3.73/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.73/1.18
% 3.73/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.73/1.18 % ------ Proving...
% 3.73/1.18 % ------ Problem Properties
% 3.73/1.18
% 3.73/1.18 %
% 3.73/1.18 % clauses 172
% 3.73/1.18 % conjectures 3
% 3.73/1.18 % EPR 39
% 3.73/1.18 % Horn 122
% 3.73/1.18 % unary 78
% 3.73/1.18 % binary 34
% 3.73/1.18 % lits 511
% 3.73/1.18 % lits eq 145
% 3.73/1.18 % fd_pure 0
% 3.73/1.18 % fd_pseudo 0
% 3.73/1.18 % fd_cond 6
% 3.73/1.18 % fd_pseudo_cond 4
% 3.73/1.18 % AC symbols 0
% 3.73/1.18
% 3.73/1.18 % ------ Schedule dynamic 5 is on
% 3.73/1.18
% 3.73/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.73/1.18
% 3.73/1.18
% 3.73/1.18 % ------
% 3.73/1.18 % Current options:
% 3.73/1.18 % ------
% 3.73/1.18
% 3.73/1.18
% 3.73/1.18 %
% 3.73/1.18
% 3.73/1.18 % ------ Proving...
% 3.73/1.18 %
% 3.73/1.18
% 3.73/1.18 % SZS status Theorem for theBenchmark.p
% 3.73/1.18
% 3.73/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.73/1.18
% 3.73/1.18
%------------------------------------------------------------------------------