%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV017-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 01:39:58 PM UTC 2026
% Result : Unsatisfiable 0.96s 1.41s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 83 ( 33 unt; 3 def)
% Number of atoms : 260 ( 37 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 199 ( 77 ~; 122 |; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( gt(X0,minus(X0,n1))
| ~ gt(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_3) ).
fof(f18,axiom,
! [X0] :
( gt(X0,n0)
| X0 = n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_15) ).
fof(f19,plain,
! [X0] :
( gt(X0,n0)
| n0 = X0 ),
inference(reorient_equations,[],[f18]) ).
fof(f22,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_17) ).
fof(f26,axiom,
! [X0] : level(X0) = int_level(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
fof(f28,axiom,
! [X0] :
( ~ p_Full(X0)
| int_level(X0) = fifo_length ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_23) ).
fof(f40,axiom,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ p_Reset(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_52) ).
fof(f74,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/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_58) ).
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/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_70) ).
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/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_71) ).
fof(f96,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/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_76) ).
fof(f98,axiom,
! [X0] :
( int_level(plus(X0,n1)) = int_level(X0)
| gt(int_level(X0),n0)
| ~ p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_78) ).
fof(f99,plain,
! [X0] :
( int_level(X0) = int_level(plus(X0,n1))
| gt(int_level(X0),n0)
| ~ p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
inference(reorient_equations,[],[f98]) ).
fof(f103,axiom,
! [X0] :
( int_level(plus(X0,n1)) = int_level(X0)
| p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_82) ).
fof(f104,plain,
! [X0] :
( int_level(X0) = int_level(plus(X0,n1))
| p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
inference(reorient_equations,[],[f103]) ).
fof(f113,negated_conjecture,
~ gt(level(t_139),fifo_length),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
fof(f115,negated_conjecture,
~ p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
fof(f116,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
fof(f117,negated_conjecture,
p_Full(plus(t_139,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
fof(f118,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_6) ).
fof(f119,plain,
~ gt(int_level(t_139),fifo_length),
inference(definition_unfolding,[],[f113,f26]) ).
tcf(c_147,plain,
! [X0: $i] :
( gt(X0,minus(X0,n1))
| ~ gt(X0,n0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_159,plain,
! [X0: $i] :
( gt(X0,n0)
| ( X0 = n0 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_161,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f22]) ).
tcf(c_166,plain,
! [X0: $i] :
( ( int_level(X0) = fifo_length )
| ~ p_Full(X0) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_173,plain,
! [X0: $i] :
( ~ p_Reset(X0)
| ~ p_Rd_error(plus(X0,n1)) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_195,plain,
! [X0: $i] :
( p_Reset(X0)
| ~ p_Wr(X0)
| ~ p_Rd(X0)
| ~ p_Rd_error(plus(X0,n1))
| ~ gt(int_level(X0),n0) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_201,plain,
! [X0: $i] :
( p_Reset(X0)
| p_Rd_error(plus(X0,n1))
| gt(int_level(X0),n0)
| ~ p_Wr(X0)
| ~ p_Rd(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_213,plain,
! [X0: $i] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| ~ p_Rd_error(plus(X0,n1))
| ~ gt(int_level(X0),n0) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_214,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_219,plain,
! [X0: $i] :
( p_Reset(X0)
| p_Wr(X0)
| p_Rd_error(plus(X0,n1))
| gt(int_level(X0),n0)
| ~ p_Rd(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_221,plain,
! [X0: $i] :
( p_Reset(X0)
| p_Wr(X0)
| gt(int_level(X0),n0)
| ( int_level(plus(X0,n1)) = int_level(X0) )
| ~ p_Rd(X0) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_225,plain,
! [X0: $i] :
( p_Reset(X0)
| p_Wr(X0)
| p_Rd(X0)
| ( int_level(plus(X0,n1)) = int_level(X0) ) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_234,negated_conjecture,
~ gt(int_level(t_139),fifo_length),
inference(cnf_transformation,[],[f119]) ).
tcf(c_235,negated_conjecture,
p_Rd(t_139),
inference(cnf_transformation,[],[f114]) ).
tcf(c_236,negated_conjecture,
~ p_Wr(t_139),
inference(cnf_transformation,[],[f115]) ).
tcf(c_237,negated_conjecture,
~ p_Reset(t_139),
inference(cnf_transformation,[],[f116]) ).
tcf(c_238,negated_conjecture,
p_Full(plus(t_139,n1)),
inference(cnf_transformation,[],[f117]) ).
tcf(c_239,negated_conjecture,
gt(fifo_length,n0),
inference(cnf_transformation,[],[f118]) ).
tcf(c_349,plain,
! [X0: $i] :
( p_Reset(X0)
| ~ p_Rd(X0)
| gt(int_level(X0),n0)
| p_Rd_error(plus(X0,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_219,c_219,c_201]) ).
tcf(c_350,plain,
! [X0: $i] :
( p_Reset(X0)
| p_Rd_error(plus(X0,n1))
| gt(int_level(X0),n0)
| ~ p_Rd(X0) ),
inference(renaming,[status(thm)],[c_349]) ).
tcf(c_354,plain,
! [X0: $i] :
( p_Reset(X0)
| p_Rd_error(plus(X0,n1))
| gt(int_level(X0),n0)
| ~ p_Rd(X0) ),
inference(global_subsumption_just,[status(thm)],[c_201,c_350]) ).
tcf(c_360,plain,
! [X0: $i] :
( ~ p_Rd(X0)
| ~ p_Rd_error(plus(X0,n1))
| ~ gt(int_level(X0),n0) ),
inference(global_subsumption_just,[status(thm)],[c_213,c_173,c_213,c_195]) ).
tcf(c_366,plain,
! [X0: $i] :
( ~ p_Rd(X0)
| ~ p_Rd_error(plus(X0,n1))
| ~ gt(int_level(X0),n0) ),
inference(global_subsumption_just,[status(thm)],[c_195,c_360]) ).
tcf(c_368,plain,
! [X0: $i] :
( p_Reset(X0)
| p_Wr(X0)
| gt(int_level(X0),n0)
| ( int_level(plus(X0,n1)) = int_level(X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_221,c_225,c_221]) ).
tcf(c_446,plain,
! [X0: $i] :
( ( int_level(X0) = fifo_length )
| ~ p_Full(X0) ),
inference(prop_impl_just,[status(thm)],[c_166]) ).
tcf(c_1546,plain,
! [X0: $i] :
( ( int_level(X0) = fifo_length )
| ( plus(t_139,n1) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_238,c_446]) ).
tcf(c_1547,plain,
int_level(plus(t_139,n1)) = fifo_length,
inference(unflattening,[status(thm)],[c_1546]) ).
tcf(c_9659,definition,
iPr_def_10 = plus(t_139,n1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_9660,definition,
iPr_def_11 = int_level(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_9661,definition,
iPr_def_12 = int_level(t_139),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_9662,plain,
iPr_def_11 = fifo_length,
inference(demodulation,[status(thm)],[c_1547,c_9659,c_9660]) ).
tcf(c_9663,negated_conjecture,
gt(fifo_length,n0),
inference(demodulation,[status(thm)],[c_239]) ).
tcf(c_9664,negated_conjecture,
~ p_Reset(t_139),
inference(demodulation,[status(thm)],[c_237]) ).
tcf(c_9665,negated_conjecture,
~ p_Wr(t_139),
inference(demodulation,[status(thm)],[c_236]) ).
tcf(c_9666,negated_conjecture,
p_Rd(t_139),
inference(demodulation,[status(thm)],[c_235]) ).
tcf(c_9667,negated_conjecture,
~ gt(iPr_def_12,fifo_length),
inference(demodulation,[status(thm)],[c_234,c_9661]) ).
tcf(c_10781,plain,
gt(iPr_def_11,n0),
inference(light_normalisation,[status(thm)],[c_9663,c_9662]) ).
tcf(c_10782,plain,
~ gt(iPr_def_12,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_9667,c_9662]) ).
tcf(c_11904,plain,
( p_Rd_error(iPr_def_10)
| p_Reset(t_139)
| gt(int_level(t_139),n0)
| ~ p_Rd(t_139) ),
inference(superposition,[status(thm)],[c_9659,c_354]) ).
tcf(c_11913,plain,
( p_Rd_error(iPr_def_10)
| p_Reset(t_139)
| gt(iPr_def_12,n0)
| ~ p_Rd(t_139) ),
inference(light_normalisation,[status(thm)],[c_11904,c_9661]) ).
tcf(c_11914,plain,
( p_Rd_error(iPr_def_10)
| gt(iPr_def_12,n0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11913,c_9664,c_9666]) ).
tcf(c_12228,plain,
( ~ p_Rd_error(iPr_def_10)
| ~ p_Rd(t_139)
| ~ gt(int_level(t_139),n0) ),
inference(superposition,[status(thm)],[c_9659,c_366]) ).
tcf(c_12234,plain,
( ~ p_Rd_error(iPr_def_10)
| ~ p_Rd(t_139)
| ~ gt(iPr_def_12,n0) ),
inference(light_normalisation,[status(thm)],[c_12228,c_9661]) ).
tcf(c_12235,plain,
( ~ p_Rd_error(iPr_def_10)
| ~ gt(iPr_def_12,n0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12234,c_9666]) ).
tcf(c_12432,plain,
( ( n0 = iPr_def_12 )
| ~ p_Rd_error(iPr_def_10) ),
inference(superposition,[status(thm)],[c_159,c_12235]) ).
tcf(c_12649,plain,
( p_Reset(t_139)
| p_Wr(t_139)
| gt(iPr_def_12,n0)
| ( int_level(plus(t_139,n1)) = int_level(t_139) ) ),
inference(superposition,[status(thm)],[c_9661,c_368]) ).
tcf(c_12654,plain,
( p_Reset(t_139)
| p_Wr(t_139)
| gt(iPr_def_12,n0)
| ( iPr_def_11 = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_12649,c_9659,c_9660,c_9661]) ).
tcf(c_12655,plain,
( gt(iPr_def_12,n0)
| ( iPr_def_11 = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12654,c_9664,c_9665]) ).
tcf(c_13596,plain,
( p_Reset(t_139)
| p_Wr(t_139)
| ( minus(int_level(t_139),n1) = int_level(plus(t_139,n1)) )
| ~ p_Rd(t_139)
| ~ gt(iPr_def_12,n0) ),
inference(superposition,[status(thm)],[c_9661,c_214]) ).
tcf(c_13604,plain,
( p_Reset(t_139)
| p_Wr(t_139)
| ( minus(iPr_def_12,n1) = iPr_def_11 )
| ~ p_Rd(t_139)
| ~ gt(iPr_def_12,n0) ),
inference(light_normalisation,[status(thm)],[c_13596,c_9659,c_9660,c_9661]) ).
tcf(c_13605,plain,
( ( minus(iPr_def_12,n1) = iPr_def_11 )
| ~ gt(iPr_def_12,n0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13604,c_9664,c_9665,c_9666]) ).
tcf(c_13777,plain,
( ( n0 = iPr_def_12 )
| ( minus(iPr_def_12,n1) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_159,c_13605]) ).
tcf(c_13861,plain,
( gt(iPr_def_12,iPr_def_11)
| ( n0 = iPr_def_12 )
| ~ gt(iPr_def_12,n0) ),
inference(superposition,[status(thm)],[c_13777,c_147]) ).
tcf(c_13872,plain,
( ( n0 = iPr_def_12 )
| ~ gt(iPr_def_12,n0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13861,c_10782]) ).
tcf(c_13879,plain,
n0 = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_13872,c_11914,c_12432,c_13872]) ).
tcf(c_13901,plain,
( gt(iPr_def_12,iPr_def_12)
| ( iPr_def_11 = iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_12655,c_13879]) ).
tcf(c_13951,plain,
gt(iPr_def_11,iPr_def_12),
inference(demodulation,[status(thm)],[c_10781,c_13879]) ).
tcf(c_13984,plain,
iPr_def_11 = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_13901,c_161]) ).
tcf(c_14077,plain,
gt(iPr_def_11,iPr_def_11),
inference(light_normalisation,[status(thm)],[c_13951,c_13984]) ).
tcf(c_14078,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14077,c_161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV017-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.57 % Computer : n008.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.58 % CPULimit : 300
% 0.09/0.58 % WCLimit : 300
% 0.09/0.58 % DateTime : Wed Sep 23 16:26:18 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.62 Running first-order theorem proving
% 0.14/0.62 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
% 0.14/0.63
% 0.14/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.63
% 0.14/0.63 % Detected problem language: tptp
% 0.14/0.64 % Proving...
% 0.96/1.41 % SZS status Started for theBenchmark.p
% 0.96/1.41 % SZS status Unsatisfiable for theBenchmark.p
% 0.96/1.41
% 0.96/1.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.96/1.41
% 0.96/1.41 % ------ iProver source info
% 0.96/1.41
% 0.96/1.41 % git: date: 2026-07-19 20:42:38 +0200
% 0.96/1.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.96/1.41 % git: non_committed_changes: false
% 0.96/1.41
% 0.96/1.41 % ------ Parsing...% successful
% 0.96/1.41
% 0.96/1.41
% 0.96/1.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.96/1.41
% 0.96/1.41 % ------ 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 %
% 0.96/1.41
% 0.96/1.41 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.96/1.41
% 0.96/1.41 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.96/1.41 % ------ Proving...
% 0.96/1.41 % ------ Problem Properties
% 0.96/1.41
% 0.96/1.41 %
% 0.96/1.41 % clauses 58
% 0.96/1.41 % conjectures 5
% 0.96/1.41 % EPR 12
% 0.96/1.41 % Horn 28
% 0.96/1.41 % unary 14
% 0.96/1.41 % binary 14
% 0.96/1.41 % lits 158
% 0.96/1.41 % lits eq 36
% 0.96/1.41 % fd_pure 0
% 0.96/1.41 % fd_pseudo 0
% 0.96/1.41 % fd_cond 1
% 0.96/1.41 % fd_pseudo_cond 4
% 0.96/1.41 % AC symbols 0
% 0.96/1.41
% 0.96/1.41 % ------ Schedule dynamic 5 is on
% 0.96/1.41
% 0.96/1.41 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.96/1.41
% 0.96/1.41
% 0.96/1.41 % ------
% 0.96/1.41 % Current options:
% 0.96/1.41 % ------
% 0.96/1.41
% 0.96/1.41
% 0.96/1.41 %
% 0.96/1.41
% 0.96/1.41 % ------ Proving...
% 0.96/1.41 %
% 0.96/1.41
% 0.96/1.41 % SZS status Unsatisfiable for theBenchmark.p
% 0.96/1.41
% 0.96/1.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.96/1.41
% 0.96/1.41
%------------------------------------------------------------------------------