%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV021-1 : 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 : n005.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 3.75s 1.28s
% Output : CNFRefutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 16 unt; 2 def)
% Number of atoms : 81 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 43 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0] :
( gt(X0,n0)
| X0 = n0 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_15) ).
fof(f19,plain,
! [X0] :
( gt(X0,n0)
| n0 = X0 ),
inference(reorient_equations,[],[f18]) ).
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(f40,axiom,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ p_Reset(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_30) ).
fof(f66,axiom,
! [X0] :
( ~ p_Rd_error(plus(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_52) ).
fof(f89,axiom,
! [X0] :
( ~ p_Rd_error(plus(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_70) ).
fof(f113,negated_conjecture,
p_Rd_error(plus(t_139,n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
p_Rd(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f116,negated_conjecture,
~ p_Empty(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
tcf(c_157,plain,
! [X0: $i] :
( gt(X0,n0)
| ( X0 = n0 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_165,plain,
! [X0: $i] :
( p_Empty(X0)
| ( int_level(X0) != n0 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_171,plain,
! [X0: $i] :
( ~ p_Reset(X0)
| ~ p_Rd_error(plus(X0,n1)) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_193,plain,
! [X0: $i] :
( p_Reset(X0)
| ~ p_Wr(X0)
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| ~ p_Rd_error(plus(X0,n1)) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_211,plain,
! [X0: $i] :
( p_Wr(X0)
| p_Reset(X0)
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| ~ p_Rd_error(plus(X0,n1)) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_232,negated_conjecture,
p_Rd_error(plus(t_139,n1)),
inference(cnf_transformation,[],[f113]) ).
tcf(c_233,negated_conjecture,
p_Rd(t_139),
inference(cnf_transformation,[],[f114]) ).
tcf(c_235,negated_conjecture,
~ p_Empty(t_139),
inference(cnf_transformation,[],[f116]) ).
tcf(c_356,plain,
! [X0: $i] :
( ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| ~ p_Rd_error(plus(X0,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_211,c_171,c_211,c_193]) ).
tcf(c_362,plain,
! [X0: $i] :
( ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| ~ p_Rd_error(plus(X0,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_193,c_356]) ).
tcf(c_444,plain,
! [X0: $i] :
( ( int_level(X0) != n0 )
| p_Empty(X0) ),
inference(prop_impl_just,[status(thm)],[c_165]) ).
tcf(c_445,plain,
! [X0: $i] :
( p_Empty(X0)
| ( int_level(X0) != n0 ) ),
inference(renaming,[status(thm)],[c_444]) ).
tcf(c_1535,plain,
! [X0: $i] :
( ( X0 != t_139 )
| ( int_level(X0) != n0 ) ),
inference(resolution_lifted,[status(thm)],[c_235,c_445]) ).
tcf(c_1536,plain,
int_level(t_139) != n0,
inference(unflattening,[status(thm)],[c_1535]) ).
tcf(c_9595,definition,
iPr_def_10 = int_level(t_139),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_9596,definition,
iPr_def_11 = plus(t_139,n1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_9597,plain,
iPr_def_10 != n0,
inference(demodulation,[status(thm)],[c_1536,c_9595]) ).
tcf(c_9599,negated_conjecture,
p_Rd(t_139),
inference(demodulation,[status(thm)],[c_233]) ).
tcf(c_9600,negated_conjecture,
p_Rd_error(iPr_def_11),
inference(demodulation,[status(thm)],[c_232,c_9596]) ).
tcf(c_11596,plain,
( ~ p_Rd(t_139)
| ~ p_Rd_error(iPr_def_11)
| ~ gt(int_level(t_139),n0) ),
inference(superposition,[status(thm)],[c_9596,c_362]) ).
tcf(c_11602,plain,
( ~ p_Rd(t_139)
| ~ p_Rd_error(iPr_def_11)
| ~ gt(iPr_def_10,n0) ),
inference(light_normalisation,[status(thm)],[c_11596,c_9595]) ).
tcf(c_11603,plain,
~ gt(iPr_def_10,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_11602,c_9599,c_9600]) ).
tcf(c_11617,plain,
n0 = iPr_def_10,
inference(superposition,[status(thm)],[c_157,c_11603]) ).
tcf(c_11665,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_9597,c_11617]) ).
tcf(c_11666,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_11665]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV021-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 16:26:33 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 3.75/1.28 % SZS status Started for theBenchmark.p
% 3.75/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.75/1.28
% 3.75/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.75/1.28
% 3.75/1.28 % ------ iProver source info
% 3.75/1.28
% 3.75/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.75/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.75/1.28 % git: non_committed_changes: false
% 3.75/1.28
% 3.75/1.28 % ------ Parsing...% successful
% 3.75/1.28
% 3.75/1.28
% 3.75/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.75/1.28
% 3.75/1.28 % ------ 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 %
% 3.75/1.28
% 3.75/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.75/1.28
% 3.75/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.75/1.28 % ------ Proving...
% 3.75/1.28 % ------ Problem Properties
% 3.75/1.28
% 3.75/1.28 %
% 3.75/1.28 % clauses 55
% 3.75/1.28 % conjectures 3
% 3.75/1.28 % EPR 10
% 3.75/1.28 % Horn 25
% 3.75/1.28 % unary 11
% 3.75/1.28 % binary 14
% 3.75/1.28 % lits 155
% 3.75/1.28 % lits eq 35
% 3.75/1.28 % fd_pure 0
% 3.75/1.28 % fd_pseudo 0
% 3.75/1.28 % fd_cond 1
% 3.75/1.28 % fd_pseudo_cond 4
% 3.75/1.28 % AC symbols 0
% 3.75/1.28
% 3.75/1.28 % ------ Schedule dynamic 5 is on
% 3.75/1.28
% 3.75/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.75/1.28
% 3.75/1.28
% 3.75/1.28 % ------
% 3.75/1.28 % Current options:
% 3.75/1.28 % ------
% 3.75/1.28
% 3.75/1.28
% 3.75/1.28 %
% 3.75/1.28
% 3.75/1.28 % ------ Proving...
% 3.75/1.28 %
% 3.75/1.28
% 3.75/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.75/1.28
% 3.75/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.75/1.28
% 3.75/1.28
%------------------------------------------------------------------------------