%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV861-1 : 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 : n010.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 03:24:22 PM UTC 2026
% Result : Unsatisfiable 3.94s 1.30s
% Output : CNFRefutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 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 : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f630,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f631,negated_conjecture,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f632,negated_conjecture,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f633,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f635,negated_conjecture,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
| ~ c_Natural_Oevaln(v_c,X2,v_n,X1)
| hBOOL(hAPP(hAPP(v_Q,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f636,negated_conjecture,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_Q,X0),X2))
| ~ c_Natural_Oevaln(v_d,X2,v_n,X1)
| hBOOL(hAPP(hAPP(v_R,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
tcf(c_1213,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
inference(cnf_transformation,[],[f630]) ).
tcf(c_1214,negated_conjecture,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(cnf_transformation,[],[f631]) ).
tcf(c_1215,negated_conjecture,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(cnf_transformation,[],[f632]) ).
tcf(c_1216,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
inference(cnf_transformation,[],[f633]) ).
tcf(c_1218,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(hAPP(hAPP(v_Q,X0),X2))
| ~ c_Natural_Oevaln(v_c,X1,v_n,X2)
| ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
inference(cnf_transformation,[],[f635]) ).
tcf(c_1219,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(hAPP(hAPP(v_R,X0),X2))
| ~ c_Natural_Oevaln(v_d,X1,v_n,X2)
| ~ hBOOL(hAPP(hAPP(v_Q,X0),X1)) ),
inference(cnf_transformation,[],[f636]) ).
tcf(c_1377,plain,
! [X0: $i] :
( hBOOL(hAPP(hAPP(v_Q,v_Z),X0))
| ~ c_Natural_Oevaln(v_c,v_s,v_n,X0) ),
inference(superposition,[status(thm)],[c_1213,c_1218]) ).
tcf(c_1418,plain,
! [X0: $i,X1: $i] :
( hBOOL(hAPP(hAPP(v_R,v_Z),X1))
| ~ c_Natural_Oevaln(v_c,v_s,v_n,X0)
| ~ c_Natural_Oevaln(v_d,X0,v_n,X1) ),
inference(superposition,[status(thm)],[c_1377,c_1219]) ).
tcf(c_1458,plain,
( hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H))
| ~ c_Natural_Oevaln(v_c,v_s,v_n,v_s1) ),
inference(superposition,[status(thm)],[c_1215,c_1418]) ).
tcf(c_1460,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1458,c_1216,c_1214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV861-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Thu Sep 24 21:11:58 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 3.94/1.30 % SZS status Started for theBenchmark.p
% 3.94/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.94/1.30
% 3.94/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.94/1.30
% 3.94/1.30 % ------ iProver source info
% 3.94/1.30
% 3.94/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.94/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.94/1.30 % git: non_committed_changes: false
% 3.94/1.30
% 3.94/1.30 % ------ Parsing...% successful
% 3.94/1.30
% 3.94/1.30
% 3.94/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.94/1.30 % ------ Proving...
% 3.94/1.30 % ------ Problem Properties
% 3.94/1.30
% 3.94/1.30 %
% 3.94/1.30 % clauses 596
% 3.94/1.30 % conjectures 7
% 3.94/1.30 % EPR 78
% 3.94/1.30 % Horn 511
% 3.94/1.30 % unary 163
% 3.94/1.30 % binary 208
% 3.94/1.30 % lits 1324
% 3.94/1.30 % lits eq 298
% 3.94/1.30 % fd_pure 0
% 3.94/1.30 % fd_pseudo 0
% 3.94/1.30 % fd_cond 0
% 3.94/1.30 % fd_pseudo_cond 71
% 3.94/1.30 % AC symbols 0
% 3.94/1.30
% 3.94/1.30 % ------ Input Options Time Limit: Unbounded
% 3.94/1.30
% 3.94/1.30
% 3.94/1.30 % ------
% 3.94/1.30 % Current options:
% 3.94/1.30 % ------
% 3.94/1.30
% 3.94/1.30
% 3.94/1.30 %
% 3.94/1.30
% 3.94/1.30 % ------ Proving...
% 3.94/1.30 %
% 3.94/1.30
% 3.94/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.94/1.30
% 3.94/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.94/1.30
% 3.94/1.30
%------------------------------------------------------------------------------