%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV860-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 03:24:21 PM UTC 2026
% Result : Unsatisfiable 2.69s 1.28s
% Output : CNFRefutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f559,axiom,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I1_J_0) ).
fof(f560,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f561,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f562,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_1046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X0,X1,X2) ),
inference(cnf_transformation,[],[f559]) ).
tcf(c_1047,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(cnf_transformation,[],[f560]) ).
tcf(c_1048,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb),
inference(cnf_transformation,[],[f561]) ).
tcf(c_1049,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
inference(cnf_transformation,[],[f562]) ).
tcf(c_1174,plain,
v_xa = v_xb,
inference(superposition,[status(thm)],[c_1048,c_1046]) ).
tcf(c_1175,plain,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(demodulation,[status(thm)],[c_1049,c_1174]) ).
tcf(c_1177,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1047,c_1175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV860-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n003.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 : Thu Sep 24 21:13:36 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 2.69/1.28 % SZS status Started for theBenchmark.p
% 2.69/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.69/1.28
% 2.69/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.69/1.28
% 2.69/1.28 % ------ iProver source info
% 2.69/1.28
% 2.69/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.69/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.69/1.28 % git: non_committed_changes: false
% 2.69/1.28
% 2.69/1.28 % ------ Parsing...% successful
% 2.69/1.28
% 2.69/1.28
% 2.69/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.69/1.28 % ------ Proving...
% 2.69/1.28 % ------ Problem Properties
% 2.69/1.28
% 2.69/1.28 %
% 2.69/1.28 % clauses 514
% 2.69/1.28 % conjectures 4
% 2.69/1.28 % EPR 42
% 2.69/1.28 % Horn 478
% 2.69/1.28 % unary 209
% 2.69/1.28 % binary 187
% 2.69/1.28 % lits 967
% 2.69/1.28 % lits eq 337
% 2.69/1.28 % fd_pure 0
% 2.69/1.28 % fd_pseudo 0
% 2.69/1.28 % fd_cond 0
% 2.69/1.28 % fd_pseudo_cond 56
% 2.69/1.28 % AC symbols 0
% 2.69/1.28
% 2.69/1.28 % ------ Input Options Time Limit: Unbounded
% 2.69/1.28
% 2.69/1.28
% 2.69/1.28 % ------
% 2.69/1.28 % Current options:
% 2.69/1.28 % ------
% 2.69/1.28
% 2.69/1.28
% 2.69/1.28 %
% 2.69/1.28
% 2.69/1.28 % ------ Proving...
% 2.69/1.28 %
% 2.69/1.28
% 2.69/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.69/1.28
% 2.69/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.69/1.28
% 2.69/1.28
%------------------------------------------------------------------------------