%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV023-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 01:40:00 PM UTC 2026
% Result : Unsatisfiable 3.81s 1.21s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 54 ( 36 unt; 3 def)
% Number of atoms : 113 ( 38 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 69 ( 35 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 11 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : gt(plus(X0,n1),n0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_2) ).
fof(f5,axiom,
! [X2,X0,X1] :
( def_10(X1,X0)
| plus(X2,X1) != X0
| minus(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_5) ).
fof(f7,axiom,
! [X0,X1] :
( X1 != X0
| ~ def_10(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_7) ).
fof(f8,plain,
! [X0,X1] :
( X0 != X1
| ~ def_10(X0,X1) ),
inference(reorient_equations,[],[f7]) ).
fof(f24,axiom,
! [X0] : plus(n0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_19) ).
fof(f26,axiom,
! [X0] : level(X0) = int_level(X0),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
fof(f29,axiom,
! [X0] :
( p_Empty(X0)
| int_level(X0) != n0 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_24) ).
fof(f30,plain,
! [X0] :
( p_Empty(X0)
| n0 != int_level(X0) ),
inference(reorient_equations,[],[f29]) ).
fof(f90,axiom,
! [X0] :
( int_level(plus(X0,n1)) = minus(int_level(X0),n1)
| ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_71) ).
fof(f113,negated_conjecture,
level(t_139) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f114,plain,
n1 = level(t_139),
inference(reorient_equations,[],[f113]) ).
fof(f115,negated_conjecture,
~ p_Wr(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f116,negated_conjecture,
p_Rd(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f117,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f118,negated_conjecture,
~ p_Empty(plus(t_139,n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f119,plain,
n1 = int_level(t_139),
inference(definition_unfolding,[],[f114,f26]) ).
fof(f121,plain,
! [X2,X1] :
( def_10(X1,plus(X2,X1))
| minus(plus(X2,X1),X1) = X2 ),
inference(equality_resolution,[],[f5]) ).
fof(f122,plain,
! [X1] : ~ def_10(X1,X1),
inference(equality_resolution,[],[f8]) ).
tcf(c_145,plain,
! [X0: $i] : gt(plus(X0,n1),n0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( def_10(X1,plus(X0,X1))
| ( minus(plus(X0,X1),X1) = X0 ) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_150,plain,
! [X0: $i] : ~ def_10(X0,X0),
inference(cnf_transformation,[],[f122]) ).
tcf(c_162,plain,
! [X0: $i] : plus(n0,X0) = X0,
inference(cnf_transformation,[],[f24]) ).
tcf(c_166,plain,
! [X0: $i] :
( p_Empty(X0)
| ( int_level(X0) != n0 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_213,plain,
! [X0: $i] :
( p_Reset(X0)
| p_Wr(X0)
| ( minus(int_level(X0),n1) = int_level(plus(X0,n1)) )
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_233,negated_conjecture,
int_level(t_139) = n1,
inference(cnf_transformation,[],[f119]) ).
tcf(c_234,negated_conjecture,
~ p_Wr(t_139),
inference(cnf_transformation,[],[f115]) ).
tcf(c_235,negated_conjecture,
p_Rd(t_139),
inference(cnf_transformation,[],[f116]) ).
tcf(c_236,negated_conjecture,
~ p_Reset(t_139),
inference(cnf_transformation,[],[f117]) ).
tcf(c_237,negated_conjecture,
~ p_Empty(plus(t_139,n1)),
inference(cnf_transformation,[],[f118]) ).
tcf(c_446,plain,
! [X0: $i] :
( ( int_level(X0) != n0 )
| p_Empty(X0) ),
inference(prop_impl_just,[status(thm)],[c_166]) ).
tcf(c_447,plain,
! [X0: $i] :
( p_Empty(X0)
| ( int_level(X0) != n0 ) ),
inference(renaming,[status(thm)],[c_446]) ).
tcf(c_1541,plain,
! [X0: $i] :
( ( int_level(X0) != n0 )
| ( plus(t_139,n1) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_237,c_447]) ).
tcf(c_1542,plain,
int_level(plus(t_139,n1)) != n0,
inference(unflattening,[status(thm)],[c_1541]) ).
tcf(c_9656,definition,
iPr_def_10 = plus(t_139,n1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_9657,definition,
iPr_def_11 = int_level(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_9658,definition,
iPr_def_12 = int_level(t_139),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_9659,plain,
iPr_def_11 != n0,
inference(demodulation,[status(thm)],[c_1542,c_9656,c_9657]) ).
tcf(c_9660,negated_conjecture,
~ p_Reset(t_139),
inference(demodulation,[status(thm)],[c_236]) ).
tcf(c_9661,negated_conjecture,
p_Rd(t_139),
inference(demodulation,[status(thm)],[c_235]) ).
tcf(c_9662,negated_conjecture,
~ p_Wr(t_139),
inference(demodulation,[status(thm)],[c_234]) ).
tcf(c_9663,negated_conjecture,
iPr_def_12 = n1,
inference(demodulation,[status(thm)],[c_233,c_9658]) ).
tcf(c_10771,plain,
! [X0: $i] : gt(plus(X0,iPr_def_12),n0),
inference(light_normalisation,[status(thm)],[c_145,c_9663]) ).
tcf(c_10772,plain,
plus(t_139,iPr_def_12) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_9656,c_9663]) ).
tcf(c_10774,plain,
gt(iPr_def_12,n0),
inference(superposition,[status(thm)],[c_162,c_10771]) ).
tcf(c_11424,plain,
! [X0: $i] :
( def_10(X0,X0)
| ( minus(plus(n0,X0),X0) = n0 ) ),
inference(superposition,[status(thm)],[c_162,c_148]) ).
tcf(c_11436,plain,
! [X0: $i] :
( def_10(X0,X0)
| ( minus(X0,X0) = n0 ) ),
inference(light_normalisation,[status(thm)],[c_11424,c_162]) ).
tcf(c_11437,plain,
! [X0: $i] : minus(X0,X0) = n0,
inference(forward_subsumption_resolution,[status(thm)],[c_11436,c_150]) ).
tcf(c_12572,plain,
! [X0: $i] :
( p_Reset(X0)
| p_Wr(X0)
| ( minus(int_level(X0),iPr_def_12) = int_level(plus(X0,iPr_def_12)) )
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0) ),
inference(light_normalisation,[status(thm)],[c_213,c_9663]) ).
tcf(c_12595,plain,
( p_Reset(t_139)
| p_Wr(t_139)
| ( minus(int_level(t_139),iPr_def_12) = int_level(plus(t_139,iPr_def_12)) )
| ~ p_Rd(t_139)
| ~ gt(iPr_def_12,n0) ),
inference(superposition,[status(thm)],[c_9658,c_12572]) ).
tcf(c_12608,plain,
( p_Reset(t_139)
| p_Wr(t_139)
| ( minus(iPr_def_12,iPr_def_12) = iPr_def_11 )
| ~ p_Rd(t_139)
| ~ gt(iPr_def_12,n0) ),
inference(light_normalisation,[status(thm)],[c_12595,c_9657,c_9658,c_10772]) ).
tcf(c_12609,plain,
minus(iPr_def_12,iPr_def_12) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_12608,c_9660,c_9662,c_9661,c_10774]) ).
tcf(c_12638,plain,
n0 = iPr_def_11,
inference(demodulation,[status(thm)],[c_12609,c_11437]) ).
tcf(c_12692,plain,
iPr_def_11 != iPr_def_11,
inference(demodulation,[status(thm)],[c_9659,c_12638]) ).
tcf(c_12693,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_12692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV023-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Sep 23 16:30:09 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 3.81/1.21 % SZS status Started for theBenchmark.p
% 3.81/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.21
% 3.81/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.81/1.21
% 3.81/1.21 % ------ iProver source info
% 3.81/1.21
% 3.81/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 3.81/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.81/1.21 % git: non_committed_changes: false
% 3.81/1.21
% 3.81/1.21 % ------ Parsing...% successful
% 3.81/1.21
% 3.81/1.21
% 3.81/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.81/1.21
% 3.81/1.21 % ------ Preprocessing... sup_sim: 0 sf_s rm: 21 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 3.81/1.21
% 3.81/1.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.81/1.21
% 3.81/1.21 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.81/1.21 % ------ Proving...
% 3.81/1.21 % ------ Problem Properties
% 3.81/1.21
% 3.81/1.21 %
% 3.81/1.21 % clauses 57
% 3.81/1.21 % conjectures 4
% 3.81/1.21 % EPR 11
% 3.81/1.21 % Horn 27
% 3.81/1.21 % unary 13
% 3.81/1.21 % binary 14
% 3.81/1.21 % lits 157
% 3.81/1.21 % lits eq 37
% 3.81/1.21 % fd_pure 0
% 3.81/1.21 % fd_pseudo 0
% 3.81/1.21 % fd_cond 1
% 3.81/1.21 % fd_pseudo_cond 4
% 3.81/1.21 % AC symbols 0
% 3.81/1.21
% 3.81/1.21 % ------ Schedule dynamic 5 is on
% 3.81/1.21
% 3.81/1.21 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.81/1.21
% 3.81/1.21
% 3.81/1.21 % ------
% 3.81/1.21 % Current options:
% 3.81/1.21 % ------
% 3.81/1.21
% 3.81/1.21
% 3.81/1.21 %
% 3.81/1.21
% 3.81/1.21 % ------ Proving...
% 3.81/1.21 %
% 3.81/1.21
% 3.81/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.21
% 3.81/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.81/1.21
%------------------------------------------------------------------------------