%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV821-1 : 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 : n001.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 03:24:17 PM UTC 2026
% Result : Unsatisfiable 26.76s 4.26s
% Output : CNFRefutation 26.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1477,axiom,
! [X0] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Osimps_I2_J_0) ).
fof(f1478,plain,
! [X0] : c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(reorient_equations,[],[f1477]) ).
fof(f1518,axiom,
! [X2,X3,X0,X1] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X0,X3)
| X0 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X0,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I6_J_0) ).
fof(f1519,plain,
! [X2,X3,X0,X1] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X0,X3)
| c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X0,X2,X3)) = X0 ),
inference(reorient_equations,[],[f1518]) ).
fof(f1544,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
tcf(c_2042,negated_conjecture,
! [X0: $i] : c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[],[f1478]) ).
tcf(c_2070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X0,X2,X1,X3)) = X2 )
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X0),X1,X2,X3) ),
inference(cnf_transformation,[],[f1519]) ).
tcf(c_2085,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb),
inference(cnf_transformation,[],[f1544]) ).
tcf(c_6658,plain,
( ( c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_HOL_Ozero__class_Ozero(tc_nat),v_xa,v_xb)) = c_HOL_Ozero__class_Ozero(tc_nat) )
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb) ),
inference(instantiation,[status(thm)],[c_2070]) ).
tcf(c_8657,plain,
c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_HOL_Ozero__class_Ozero(tc_nat),v_xa,v_xb)) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(instantiation,[status(thm)],[c_2042]) ).
tcf(c_8658,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8657,c_6658,c_2085]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV821-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n001.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 21:12:38 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 26.76/4.26 % SZS status Started for theBenchmark.p
% 26.76/4.26 % SZS status Unsatisfiable for theBenchmark.p
% 26.76/4.26
% 26.76/4.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 26.76/4.26
% 26.76/4.26 % ------ iProver source info
% 26.76/4.26
% 26.76/4.26 % git: date: 2026-07-19 20:42:38 +0200
% 26.76/4.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 26.76/4.26 % git: non_committed_changes: false
% 26.76/4.26
% 26.76/4.26 % ------ Parsing...% successful
% 26.76/4.26
% 26.76/4.26
% 26.76/4.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 26.76/4.26
% 26.76/4.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 26.76/4.26
% 26.76/4.26 % ------ Preprocessing...%
% 26.76/4.26
% 26.76/4.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 26.76/4.26 % ------ Proving...
% 26.76/4.26 % ------ Problem Properties
% 26.76/4.26
% 26.76/4.26 %
% 26.76/4.26 % clauses 646
% 26.76/4.26 % conjectures 29
% 26.76/4.26 % EPR 85
% 26.76/4.26 % Horn 609
% 26.76/4.26 % unary 141
% 26.76/4.26 % binary 254
% 26.76/4.26 % lits 1533
% 26.76/4.26 % lits eq 350
% 26.76/4.26 % fd_pure 0
% 26.76/4.26 % fd_pseudo 0
% 26.76/4.26 % fd_cond 15
% 26.76/4.26 % fd_pseudo_cond 44
% 26.76/4.26 % AC symbols 0
% 26.76/4.26
% 26.76/4.26 % ------ Input Options Time Limit: Unbounded
% 26.76/4.26
% 26.76/4.26
% 26.76/4.26 % ------
% 26.76/4.26 % Current options:
% 26.76/4.26 % ------
% 26.76/4.26
% 26.76/4.26
% 26.76/4.26 %
% 26.76/4.26
% 26.76/4.26 % ------ Proving...
% 26.76/4.26 %
% 26.76/4.26
% 26.76/4.26 % SZS status Unsatisfiable for theBenchmark.p
% 26.76/4.26
% 26.76/4.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.76/4.26
% 26.76/4.26
%------------------------------------------------------------------------------