%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV020-1 : 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 : n012.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 01:39:59 PM UTC 2026
% Result : Unsatisfiable 2.33s 0.97s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of formulae : 84 ( 30 unt; 1 def)
% Number of atoms : 218 ( 51 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 174 ( 69 ~; 105 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 9 ( 7 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn 66 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : plus(X0,n1) != n0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_1) ).
fof(f2,axiom,
! [X0] : gt(plus(X0,n1),n0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_2) ).
fof(f9,axiom,
! [X0,X1] :
( gt(plus(X0,n1),plus(X1,n1))
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_8) ).
fof(f13,axiom,
! [X0,X1] :
( X0 = X1
| gt(X0,X1)
| ~ gt(plus(X0,n1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_11) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_13) ).
fof(f20,axiom,
! [X0] :
( X0 = plus(y_27(X0),n1)
| X0 = n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_16) ).
fof(f21,plain,
! [X0] :
( plus(y_27(X0),n1) = X0
| n0 = X0 ),
inference(reorient_equations,[],[f20]) ).
fof(f22,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_17) ).
fof(f24,axiom,
! [X0] : plus(n0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_19) ).
fof(f29,axiom,
! [X0] :
( p_Empty(X0)
| int_level(X0) != n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_24) ).
fof(f30,plain,
! [X0] :
( p_Empty(X0)
| n0 != int_level(X0) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,axiom,
! [X0] :
( ~ p_Empty(X0)
| int_level(X0) = n0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax',axiom_25) ).
fof(f32,plain,
! [X0] :
( ~ p_Empty(X0)
| n0 = int_level(X0) ),
inference(reorient_equations,[],[f31]) ).
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(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,
p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
p_Empty(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_Rd_error(plus(t_139,n1))
| ~ p_Empty(plus(t_139,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).
tcf(c_144,plain,
! [X0: $i] : plus(X0,n1) != n0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_145,plain,
! [X0: $i] : gt(plus(X0,n1),n0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] :
( gt(plus(X0,n1),plus(X1,n1))
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i] :
( gt(X0,X1)
| ( X0 = X1 )
| ~ gt(plus(X0,n1),X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_159,plain,
! [X0: $i] :
( ( X0 = n0 )
| ( plus(y_27(X0),n1) = X0 ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_160,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f22]) ).
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_167,plain,
! [X0: $i] :
( ( int_level(X0) = n0 )
| ~ p_Empty(X0) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_200,plain,
! [X0: $i] :
( p_Reset(X0)
| gt(int_level(X0),n0)
| p_Rd_error(plus(X0,n1))
| ~ p_Wr(X0)
| ~ p_Rd(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_218,plain,
! [X0: $i] :
( p_Reset(X0)
| p_Wr(X0)
| gt(int_level(X0),n0)
| p_Rd_error(plus(X0,n1))
| ~ p_Rd(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_220,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_224,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_233,negated_conjecture,
p_Rd(t_139),
inference(cnf_transformation,[],[f113]) ).
tcf(c_234,negated_conjecture,
p_Empty(t_139),
inference(cnf_transformation,[],[f114]) ).
tcf(c_235,negated_conjecture,
~ p_Wr(t_139),
inference(cnf_transformation,[],[f115]) ).
tcf(c_236,negated_conjecture,
~ p_Reset(t_139),
inference(cnf_transformation,[],[f116]) ).
tcf(c_237,negated_conjecture,
( ~ p_Rd_error(plus(t_139,n1))
| ~ p_Empty(plus(t_139,n1)) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_347,plain,
! [X0: $i] :
( p_Reset(X0)
| ~ p_Rd(X0)
| p_Rd_error(plus(X0,n1))
| gt(int_level(X0),n0) ),
inference(global_subsumption_just,[status(thm)],[c_218,c_218,c_200]) ).
tcf(c_348,plain,
! [X0: $i] :
( p_Reset(X0)
| gt(int_level(X0),n0)
| p_Rd_error(plus(X0,n1))
| ~ p_Rd(X0) ),
inference(renaming,[status(thm)],[c_347]) ).
tcf(c_352,plain,
! [X0: $i] :
( p_Reset(X0)
| gt(int_level(X0),n0)
| p_Rd_error(plus(X0,n1))
| ~ p_Rd(X0) ),
inference(global_subsumption_just,[status(thm)],[c_200,c_348]) ).
tcf(c_366,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_220,c_224,c_220]) ).
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_448,plain,
! [X0: $i] :
( ( int_level(X0) = n0 )
| ~ p_Empty(X0) ),
inference(prop_impl_just,[status(thm)],[c_167]) ).
tcf(c_450,plain,
( ~ p_Rd_error(plus(t_139,n1))
| ~ p_Empty(plus(t_139,n1)) ),
inference(prop_impl_just,[status(thm)],[c_237]) ).
tcf(c_1559,plain,
! [X0: $i] :
( ( int_level(X0) = n0 )
| ( X0 != t_139 ) ),
inference(resolution_lifted,[status(thm)],[c_234,c_448]) ).
tcf(c_1560,plain,
int_level(t_139) = n0,
inference(unflattening,[status(thm)],[c_1559]) ).
tcf(c_1564,plain,
! [X0: $i] :
( ~ p_Rd_error(plus(t_139,n1))
| ( int_level(X0) != n0 )
| ( plus(t_139,n1) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_450,c_447]) ).
tcf(c_1565,plain,
( ~ p_Rd_error(plus(t_139,n1))
| ( int_level(plus(t_139,n1)) != n0 ) ),
inference(unflattening,[status(thm)],[c_1564]) ).
tcf(c_5390,plain,
( ( int_level(plus(t_139,n1)) != n0 )
| ~ p_Rd_error(plus(t_139,n1)) ),
inference(prop_impl_just,[status(thm)],[c_1565]) ).
tcf(c_5391,plain,
( ~ p_Rd_error(plus(t_139,n1))
| ( int_level(plus(t_139,n1)) != n0 ) ),
inference(renaming,[status(thm)],[c_5390]) ).
tcf(c_9705,definition,
iPr_def_10 = int_level(t_139),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_9706,plain,
iPr_def_10 = n0,
inference(demodulation,[status(thm)],[c_1560,c_9705]) ).
tcf(c_9707,negated_conjecture,
~ p_Reset(t_139),
inference(demodulation,[status(thm)],[c_236]) ).
tcf(c_9708,negated_conjecture,
~ p_Wr(t_139),
inference(demodulation,[status(thm)],[c_235]) ).
tcf(c_9709,negated_conjecture,
p_Rd(t_139),
inference(demodulation,[status(thm)],[c_233]) ).
tcf(c_10837,plain,
! [X0: $i] : gt(plus(X0,n1),iPr_def_10),
inference(light_normalisation,[status(thm)],[c_145,c_9706]) ).
tcf(c_10841,plain,
! [X0: $i] : plus(iPr_def_10,X0) = X0,
inference(light_normalisation,[status(thm)],[c_162,c_9706]) ).
tcf(c_10847,plain,
! [X0: $i] : plus(X0,n1) != iPr_def_10,
inference(light_normalisation,[status(thm)],[c_144,c_9706]) ).
tcf(c_11065,plain,
! [X0: $i] :
( gt(n1,plus(X0,n1))
| ~ gt(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_10841,c_151]) ).
tcf(c_11123,plain,
! [X0: $i,X1: $i] :
( gt(plus(X1,n1),X0)
| ~ gt(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_10837,c_156]) ).
tcf(c_11147,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( plus(y_27(X0),n1) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_159,c_9706]) ).
tcf(c_11308,plain,
! [X0: $i] : ~ gt(iPr_def_10,plus(X0,n1)),
inference(superposition,[status(thm)],[c_11123,c_160]) ).
tcf(c_11475,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ gt(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_11147,c_11308]) ).
tcf(c_11672,plain,
! [X0: $i] :
( gt(iPr_def_10,X0)
| ( X0 = iPr_def_10 )
| ~ gt(n1,X0) ),
inference(superposition,[status(thm)],[c_10841,c_154]) ).
tcf(c_11709,plain,
! [X0: $i] :
( p_Reset(X0)
| gt(int_level(X0),iPr_def_10)
| p_Rd_error(plus(X0,n1))
| ~ p_Rd(X0) ),
inference(light_normalisation,[status(thm)],[c_352,c_9706]) ).
tcf(c_11802,plain,
! [X0: $i] :
( ~ gt(n1,X0)
| ( X0 = iPr_def_10 ) ),
inference(global_subsumption_just,[status(thm)],[c_11672,c_11475,c_11672]) ).
tcf(c_11803,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ gt(n1,X0) ),
inference(renaming,[status(thm)],[c_11802]) ).
tcf(c_11818,plain,
! [X0: $i] :
( ( plus(X0,n1) = iPr_def_10 )
| ~ gt(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_11065,c_11803]) ).
tcf(c_11820,plain,
! [X0: $i] : ~ gt(iPr_def_10,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_11818,c_10847]) ).
tcf(c_12283,plain,
! [X0: $i] :
( p_Reset(X0)
| p_Wr(X0)
| gt(int_level(X0),iPr_def_10)
| ( int_level(plus(X0,n1)) = int_level(X0) ) ),
inference(light_normalisation,[status(thm)],[c_366,c_9706]) ).
tcf(c_12296,plain,
( p_Reset(t_139)
| p_Wr(t_139)
| gt(iPr_def_10,iPr_def_10)
| ( int_level(plus(t_139,n1)) = int_level(t_139) ) ),
inference(superposition,[status(thm)],[c_9705,c_12283]) ).
tcf(c_12301,plain,
( p_Reset(t_139)
| p_Wr(t_139)
| gt(iPr_def_10,iPr_def_10)
| ( int_level(plus(t_139,n1)) = iPr_def_10 ) ),
inference(light_normalisation,[status(thm)],[c_12296,c_9705]) ).
tcf(c_12302,plain,
int_level(plus(t_139,n1)) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_12301,c_9707,c_9708,c_11820]) ).
tcf(c_14347,plain,
~ p_Rd_error(plus(t_139,n1)),
inference(ground_joinability,[status(thm)],[c_5391,c_9706,c_12302]) ).
tcf(c_14348,plain,
( p_Reset(t_139)
| gt(int_level(t_139),iPr_def_10)
| ~ p_Rd(t_139) ),
inference(superposition,[status(thm)],[c_11709,c_14347]) ).
tcf(c_14350,plain,
( p_Reset(t_139)
| gt(iPr_def_10,iPr_def_10)
| ~ p_Rd(t_139) ),
inference(light_normalisation,[status(thm)],[c_14348,c_9705]) ).
tcf(c_14351,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14350,c_9707,c_11820,c_9709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HWV020-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Wed Sep 23 16:26:06 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.04/0.33
% 0.04/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.33
% 0.04/0.33 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 2.33/0.97 % SZS status Started for theBenchmark.p
% 2.33/0.97 % SZS status Unsatisfiable for theBenchmark.p
% 2.33/0.97
% 2.33/0.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.33/0.97
% 2.33/0.97 % ------ iProver source info
% 2.33/0.97
% 2.33/0.97 % git: date: 2026-07-19 20:42:38 +0200
% 2.33/0.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.33/0.97 % git: non_committed_changes: false
% 2.33/0.97
% 2.33/0.97 % ------ Parsing...% successful
% 2.33/0.97
% 2.33/0.97
% 2.33/0.97 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.33/0.97
% 2.33/0.97 % ------ 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 %
% 2.33/0.97
% 2.33/0.97 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.33/0.97
% 2.33/0.97 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.33/0.97 % ------ Proving...
% 2.33/0.97 % ------ Problem Properties
% 2.33/0.97
% 2.33/0.97 %
% 2.33/0.97 % clauses 56
% 2.33/0.97 % conjectures 3
% 2.33/0.97 % EPR 10
% 2.33/0.97 % Horn 26
% 2.33/0.97 % unary 10
% 2.33/0.97 % binary 16
% 2.33/0.97 % lits 158
% 2.33/0.97 % lits eq 36
% 2.33/0.97 % fd_pure 0
% 2.33/0.97 % fd_pseudo 0
% 2.33/0.97 % fd_cond 1
% 2.33/0.97 % fd_pseudo_cond 4
% 2.33/0.97 % AC symbols 0
% 2.33/0.97
% 2.33/0.97 % ------ Schedule dynamic 5 is on
% 2.33/0.97
% 2.33/0.97 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.33/0.97
% 2.33/0.97
% 2.33/0.97 % ------
% 2.33/0.97 % Current options:
% 2.33/0.97 % ------
% 2.33/0.97
% 2.33/0.97
% 2.33/0.97 %
% 2.33/0.97
% 2.33/0.97 % ------ Proving...
% 2.33/0.97 %
% 2.33/0.97
% 2.33/0.97 % SZS status Unsatisfiable for theBenchmark.p
% 2.33/0.97
% 2.33/0.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.33/0.97
% 2.33/0.97
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