%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HWV069-1 : TPTP v9.3.1. Bugfixed v5.5.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 01:42:31 PM UTC 2026
% Result : Unsatisfiable 70.15s 13.16s
% Output : CNFRefutation 70.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 54 ( 10 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 175 ( 87 ~; 88 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 16 usr; 3 prp; 0-4 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 120 ( 0 sgn 120 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
fof(f902,axiom,
! [X2,X3,X0,X1] :
( ~ p(X2)
| ~ p(X3)
| ~ esk7937_4(X2,X3,X1,X0)
| ~ p(X1)
| esk1_0
| ~ p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_902) ).
fof(f1548,axiom,
! [X2,X3,X0,X1] :
( esk7826_4(X0,X1,X2,X3)
| ~ esk8751_4(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_1548) ).
fof(f3018,axiom,
! [X2,X3,X0,X1] :
( esk7951_4(X0,X1,X2,X3)
| esk7952_4(X0,X1,X2,X3)
| ~ esk7953_4(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_3018) ).
fof(f3978,axiom,
! [X2,X3,X0,X1] :
( ~ esk7826_4(X0,X1,X2,X3)
| esk7824_4(X0,X1,X2,X3)
| esk7825_4(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_3978) ).
fof(f6826,axiom,
! [X2,X3,X0,X1] :
( esk9168_4(X0,X1,X2,X3)
| ~ esk8752_4(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_6826) ).
fof(f8559,axiom,
! [X2,X3,X0,X1] :
( ~ esk7824_4(X0,X1,X2,X3)
| esk7953_4(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_8559) ).
fof(f14639,axiom,
! [X2,X3,X0,X1] :
( esk8751_4(X0,X2,X3,X1)
| ~ p(X3)
| ~ esk2_0
| ~ p(X2)
| ~ p(X1)
| ~ p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_14639) ).
fof(f15706,axiom,
! [X2,X3,X0,X1] :
( ~ esk7951_4(X0,X1,X2,X3)
| esk8752_4(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_15706) ).
fof(f15881,axiom,
~ esk1_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_15881) ).
fof(f16826,axiom,
! [X2,X3,X0,X1] :
( ~ p(X3)
| ~ esk9168_4(X3,X2,X0,X1)
| ~ p(X2)
| ~ p(X1)
| esk1_0
| ~ p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_16826) ).
fof(f17201,axiom,
! [X2,X3,X0,X1] :
( esk8761_4(X0,X1,X2,X3)
| ~ esk7825_4(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_17201) ).
fof(f18074,axiom,
! [X2,X3,X0,X1] :
( ~ esk9108_4(X0,X1,X2,X3)
| esk7937_4(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_18074) ).
fof(f18461,axiom,
! [X2,X3,X0,X1] : ~ esk8120_4(X0,X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_18461) ).
fof(f25550,axiom,
esk2_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_25550) ).
fof(f26419,axiom,
! [X2,X3,X0,X1] :
( ~ esk7952_4(X0,X1,X2,X3)
| esk9108_4(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_26419) ).
fof(f27269,axiom,
! [X2,X3,X0,X1] :
( esk8120_4(X0,X1,X2,X3)
| ~ esk8761_4(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_27269) ).
fof(f27747,axiom,
p(true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_true) ).
tcf(c_28699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( esk1_0
| ~ p(X3)
| ~ p(X2)
| ~ p(X1)
| ~ p(X0)
| ~ esk7937_4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f902]) ).
tcf(c_29345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( esk7826_4(X0,X1,X2,X3)
| ~ esk8751_4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f1548]) ).
tcf(c_30815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( esk7951_4(X0,X1,X2,X3)
| esk7952_4(X0,X1,X2,X3)
| ~ esk7953_4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f3018]) ).
tcf(c_31775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( esk7824_4(X0,X1,X2,X3)
| esk7825_4(X0,X1,X2,X3)
| ~ esk7826_4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f3978]) ).
tcf(c_34623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( esk9168_4(X0,X1,X2,X3)
| ~ esk8752_4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6826]) ).
tcf(c_36356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( esk7953_4(X0,X1,X2,X3)
| ~ esk7824_4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f8559]) ).
tcf(c_42436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( esk8751_4(X3,X1,X2,X0)
| ~ esk2_0
| ~ p(X3)
| ~ p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f14639]) ).
tcf(c_43503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( esk8752_4(X0,X1,X2,X3)
| ~ esk7951_4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f15706]) ).
tcf(c_43678,plain,
~ esk1_0,
inference(cnf_transformation,[],[f15881]) ).
tcf(c_44623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( esk1_0
| ~ p(X3)
| ~ p(X2)
| ~ p(X1)
| ~ p(X0)
| ~ esk9168_4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f16826]) ).
tcf(c_44998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( esk8761_4(X0,X1,X2,X3)
| ~ esk7825_4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f17201]) ).
tcf(c_45871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( esk7937_4(X0,X1,X2,X3)
| ~ esk9108_4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f18074]) ).
tcf(c_46258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ esk8120_4(X0,X1,X2,X3),
inference(cnf_transformation,[],[f18461]) ).
tcf(c_53347,plain,
esk2_0,
inference(cnf_transformation,[],[f25550]) ).
tcf(c_54216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( esk9108_4(X0,X1,X2,X3)
| ~ esk7952_4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f26419]) ).
tcf(c_55066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( esk8120_4(X0,X1,X2,X3)
| ~ esk8761_4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f27269]) ).
tcf(c_55544,plain,
p(true),
inference(cnf_transformation,[],[f27747]) ).
tcf(c_78157,plain,
! [X0: $i,X1: $i,X2: $i] :
( esk8751_4(true,X1,X2,X0)
| ~ esk2_0
| ~ p(true)
| ~ p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(instantiation,[status(thm)],[c_42436]) ).
tcf(c_79274,plain,
! [X0: $i,X1: $i] :
( esk8751_4(true,X1,true,X0)
| ~ esk2_0
| ~ p(true)
| ~ p(X1)
| ~ p(X0) ),
inference(instantiation,[status(thm)],[c_78157]) ).
tcf(c_80788,plain,
! [X0: $i] :
( esk8751_4(true,true,true,X0)
| ~ esk2_0
| ~ p(true)
| ~ p(X0) ),
inference(instantiation,[status(thm)],[c_79274]) ).
tcf(c_83138,plain,
( esk8751_4(true,true,true,true)
| ~ esk2_0
| ~ p(true) ),
inference(instantiation,[status(thm)],[c_80788]) ).
tcf(c_88226,plain,
( esk7826_4(true,true,true,true)
| ~ esk8751_4(true,true,true,true) ),
inference(instantiation,[status(thm)],[c_29345]) ).
tcf(c_97023,plain,
( esk7824_4(true,true,true,true)
| esk7825_4(true,true,true,true)
| ~ esk7826_4(true,true,true,true) ),
inference(instantiation,[status(thm)],[c_31775]) ).
tcf(c_109343,plain,
( esk8761_4(true,true,true,true)
| ~ esk7825_4(true,true,true,true) ),
inference(instantiation,[status(thm)],[c_44998]) ).
tcf(c_119572,plain,
( esk8120_4(true,true,true,true)
| ~ esk8761_4(true,true,true,true) ),
inference(instantiation,[status(thm)],[c_55066]) ).
tcf(c_140266,plain,
~ esk8120_4(true,true,true,true),
inference(instantiation,[status(thm)],[c_46258]) ).
tcf(c_172489,plain,
( esk7953_4(true,true,true,true)
| ~ esk7824_4(true,true,true,true) ),
inference(instantiation,[status(thm)],[c_36356]) ).
tcf(c_193581,plain,
! [X0: $i] :
( esk7937_4(X0,true,true,true)
| ~ esk9108_4(X0,true,true,true) ),
inference(instantiation,[status(thm)],[c_45871]) ).
tcf(c_208096,plain,
( esk7951_4(true,true,true,true)
| esk7952_4(true,true,true,true)
| ~ esk7953_4(true,true,true,true) ),
inference(instantiation,[status(thm)],[c_30815]) ).
tcf(c_211119,plain,
! [X0: $i] :
( esk1_0
| ~ p(true)
| ~ p(X0)
| ~ esk7937_4(X0,true,true,true) ),
inference(instantiation,[status(thm)],[c_28699]) ).
tcf(c_244943,plain,
( esk8752_4(true,true,true,true)
| ~ esk7951_4(true,true,true,true) ),
inference(instantiation,[status(thm)],[c_43503]) ).
tcf(c_270314,plain,
( esk9108_4(true,true,true,true)
| ~ esk7952_4(true,true,true,true) ),
inference(instantiation,[status(thm)],[c_54216]) ).
tcf(c_270354,plain,
( esk1_0
| ~ p(true)
| ~ esk7937_4(true,true,true,true) ),
inference(instantiation,[status(thm)],[c_211119]) ).
tcf(c_280295,plain,
( esk9168_4(true,true,true,true)
| ~ esk8752_4(true,true,true,true) ),
inference(instantiation,[status(thm)],[c_34623]) ).
tcf(c_298740,plain,
( esk7937_4(true,true,true,true)
| ~ esk9108_4(true,true,true,true) ),
inference(instantiation,[status(thm)],[c_193581]) ).
tcf(c_312450,plain,
( esk1_0
| ~ p(true)
| ~ esk9168_4(true,true,true,true) ),
inference(instantiation,[status(thm)],[c_44623]) ).
tcf(c_312460,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_312450,c_298740,c_280295,c_270354,c_270314,c_244943,c_208096,c_172489,c_140266,c_119572,c_109343,c_97023,c_88226,c_83138,c_43678,c_55544,c_53347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV069-1 : TPTP v9.3.1. Bugfixed v5.5.1.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 % Computer : n014.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Wed Sep 23 16:54:34 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.45 Running EPR theorem proving
% 0.11/0.45 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46
% 0.17/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.46
% 0.17/0.46 % Detected problem language: tptp
% 0.17/0.47 % Proving...
% 70.15/13.16 % SZS status Started for theBenchmark.p
% 70.15/13.16 % SZS status Unsatisfiable for theBenchmark.p
% 70.15/13.16
% 70.15/13.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 70.15/13.16
% 70.15/13.16 % ------ iProver source info
% 70.15/13.16
% 70.15/13.16 % git: date: 2026-07-19 20:42:38 +0200
% 70.15/13.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 70.15/13.16 % git: non_committed_changes: false
% 70.15/13.16
% 70.15/13.16 % ------ Parsing...% successful
% 70.15/13.16
% 70.15/13.16
% 70.15/13.16 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 70.15/13.16 % ------ Proving...
% 70.15/13.16 % ------ Problem Properties
% 70.15/13.16
% 70.15/13.16 %
% 70.15/13.16 % clauses 27749
% 70.15/13.16 % conjectures 0
% 70.15/13.16 % EPR 27749
% 70.15/13.16 % Horn 18337
% 70.15/13.16 % unary 33
% 70.15/13.16 % binary 15936
% 70.15/13.16 % lits 84625
% 70.15/13.16 % lits eq 1
% 70.15/13.16 % fd_pure 0
% 70.15/13.16 % fd_pseudo 0
% 70.15/13.16 % fd_cond 0
% 70.15/13.16 % fd_pseudo_cond 0
% 70.15/13.16 % AC symbols 0
% 70.15/13.16
% 70.15/13.16 % ------ Input Options Time Limit: Unbounded
% 70.15/13.16
% 70.15/13.16
% 70.15/13.16 % ------
% 70.15/13.16 % Current options:
% 70.15/13.16 % ------
% 70.15/13.16
% 70.15/13.16
% 70.15/13.16 %
% 70.15/13.16
% 70.15/13.16 % ------ Proving...
% 70.15/13.16 %
% 70.15/13.16
% 70.15/13.16 % SZS status Unsatisfiable for theBenchmark.p
% 70.15/13.16
% 70.15/13.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 70.15/13.16
% 70.15/13.16
%------------------------------------------------------------------------------