%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV865-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n004.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 : Sun Sep 27 09:00:50 AM UTC 2026
% Result : Unsatisfiable 4.59s 17.61s
% Output : Refutation 4.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 30
% Syntax : Number of formulae : 61 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 109 ( 36 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 438 ( 56 ~; 48 |; 0 &; 334 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 14 con; 0-5 aty)
% Number of variables : 150 ( 0 ^; 150 !; 0 ?; 150 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Hoare__Mirabelle_Ostate__not__singleton_decl,type,
c_Hoare__Mirabelle_Ostate__not__singleton: $o ).
thf(c_Natural_Oevalc_decl,type,
c_Natural_Oevalc: $i > $i > $i > $o ).
thf(v_c_decl,type,
v_c: $i ).
thf(v_Z_decl,type,
v_Z: $i ).
thf(v_s_H_decl,type,
v_s_H: $i ).
thf(hAPP_decl,type,
hAPP: $i > $i > $i ).
thf(v_s_decl,type,
v_s: $i ).
thf(v_t_decl,type,
v_t: $i ).
thf(v_Z_H_decl,type,
v_Z_H: $i > $i ).
thf(c_Natural_Oevaln_decl,type,
c_Natural_Oevaln: $i > $i > $i > $i > $o ).
thf(c_Natural_Osko__Natural__Xevaln__elim__cases__4__1_decl,type,
c_Natural_Osko__Natural__Xevaln__elim__cases__4__1: $i > $i > $i > $i > $i > $i ).
thf(c_Com_Ocom_OSemi_decl,type,
c_Com_Ocom_OSemi: $i > $i > $i ).
thf(c_Com_Ocom_OSKIP_decl,type,
c_Com_Ocom_OSKIP: $i ).
thf(c_Code__Evaluation_Otracing_decl,type,
c_Code__Evaluation_Otracing: $i > $i > $i > $i ).
thf(c_Natural_Osko__Natural__Xevalc__elim__cases__4__1_decl,type,
c_Natural_Osko__Natural__Xevalc__elim__cases__4__1: $i > $i > $i > $i > $i ).
thf(c_Natural_Osko__Natural__Xeval__eq__1__1_decl,type,
c_Natural_Osko__Natural__Xeval__eq__1__1: $i > $i > $i > $i ).
thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1_decl,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1: $i ).
thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2_decl,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2: $i ).
thf(v_sko__Hoare__Mirabelle__Xsingle__stateE__1_decl,type,
v_sko__Hoare__Mirabelle__Xsingle__stateE__1: $i > $i ).
thf(v_x_decl,type,
v_x: $i ).
thf(t_a_decl,type,
t_a: $i ).
thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1_decl,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1: $i ).
thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2_decl,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2: $i ).
thf(c_Natural_Osko__Natural__Xevalc__evaln__1__1_decl,type,
c_Natural_Osko__Natural__Xevalc__evaln__1__1: $i > $i > $i > $i ).
thf(16,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( B @ ( A @ c_Natural_Oevaln ) ) ) )
| ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eval__eq_1) ).
thf(69,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( B @ ( A @ c_Natural_Oevaln ) ) ) )
| ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(12,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Com_Ocom_OSemi ) )
!= ( D @ ( C @ c_Com_Ocom_OSemi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_0) ).
thf(56,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Com_Ocom_OSemi ) )
!= ( D @ ( C @ c_Com_Ocom_OSemi ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(10,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( D @ ( C @ ( A @ c_Natural_Oevaln ) ) ) )
| ~ ( E @ ( D @ ( F @ ( B @ c_Natural_Oevaln ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln_OSemi_0) ).
thf(52,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( D @ ( C @ ( A @ c_Natural_Oevaln ) ) ) )
| ~ ( E @ ( D @ ( F @ ( B @ c_Natural_Oevaln ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( c_Com_Ocom_OSKIP
!= ( B @ ( A @ c_Com_Ocom_OSemi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I12_J_0) ).
thf(46,plain,
! [B: $i,A: $i] :
( c_Com_Ocom_OSKIP
!= ( B @ ( A @ c_Com_Ocom_OSemi ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(23,axiom,
! [A: $i] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ( ( A @ v_sko__Hoare__Mirabelle__Xsingle__stateE__1 )
!= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_single__stateE_0) ).
thf(84,plain,
! [A: $i] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ( ( A @ v_sko__Hoare__Mirabelle__Xsingle__stateE__1 )
!= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(30,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ ( C @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevalc ) ) )
| ( D @ ( B @ ( C @ ( A @ c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 ) ) ) @ ( B @ ( A @ c_Natural_Oevalc ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I4_J_0) ).
thf(102,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ ( C @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevalc ) ) )
| ( D @ ( B @ ( C @ ( A @ c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 ) ) ) @ ( B @ ( A @ c_Natural_Oevalc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(2,negated_conjecture,
~ ( v_s_H @ ( v_Z @ ( v_c @ c_Natural_Oevalc ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(33,plain,
~ ( v_s_H @ ( v_Z @ ( v_c @ c_Natural_Oevalc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( D @ ( A @ ( B @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) )
| ( E @ ( C @ ( E @ ( D @ ( C @ ( A @ ( B @ c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 ) ) ) ) @ ( A @ c_Natural_Oevaln ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I4_J_1) ).
thf(41,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( D @ ( A @ ( B @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) )
| ( E @ ( C @ ( E @ ( D @ ( C @ ( A @ ( B @ c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 ) ) ) ) @ ( A @ c_Natural_Oevaln ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(18,axiom,
! [A: $i] : ( A @ ( A @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevalc ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OSkip_0) ).
thf(73,plain,
! [A: $i] : ( A @ ( A @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevalc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(4,negated_conjecture,
! [A: $i] :
( ( A @ v_Z_H @ ( v_Z @ ( v_c @ c_Natural_Oevalc ) ) )
| ( A = v_s_H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(35,plain,
! [A: $i] :
( ( A @ v_Z_H @ ( v_Z @ ( v_c @ c_Natural_Oevalc ) ) )
| ( A = v_s_H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,negated_conjecture,
! [A: $i] :
( ( A = v_s_H )
| ( A
!= ( A @ v_Z_H ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(31,plain,
! [A: $i] :
( ( A = v_s_H )
| ( A
!= ( A @ v_Z_H ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Com_Ocom_OSemi ) )
!= c_Com_Ocom_OSKIP ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I13_J_0) ).
thf(43,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_Com_Ocom_OSemi ) )
!= c_Com_Ocom_OSKIP ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(21,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) )
| ( C @ ( C @ ( B @ ( A @ c_Natural_Osko__Natural__Xeval__eq__1__1 ) ) @ ( B @ ( A @ c_Natural_Oevaln ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eval__eq_0) ).
thf(79,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) )
| ( C @ ( C @ ( B @ ( A @ c_Natural_Osko__Natural__Xeval__eq__1__1 ) ) @ ( B @ ( A @ c_Natural_Oevaln ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(15,axiom,
! [B: $i,A: $i] : ( A @ ( B @ ( A @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln_OSkip_0) ).
thf(68,plain,
! [B: $i,A: $i] : ( A @ ( B @ ( A @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(13,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Code__Evaluation_Otracing ) ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tracing__def_0) ).
thf(61,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Code__Evaluation_Otracing ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(25,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_0) ).
thf(89,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(19,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( B @ ( A @ c_Natural_Oevaln ) ) ) )
| ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__evalc_0) ).
thf(74,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( D @ ( B @ ( A @ c_Natural_Oevaln ) ) ) )
| ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(26,axiom,
! [B: $i,A: $i] :
( ( A = B )
| c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_1) ).
thf(92,plain,
! [B: $i,A: $i] :
( ( A = B )
| c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(28,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( A @ c_Natural_Oevalc ) ) )
| ~ ( D @ ( E @ ( B @ c_Natural_Oevalc ) ) )
| ( D @ ( C @ ( B @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevalc ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OSemi_0) ).
thf(97,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( A @ c_Natural_Oevalc ) ) )
| ~ ( D @ ( E @ ( B @ c_Natural_Oevalc ) ) )
| ( D @ ( C @ ( B @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevalc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(1,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(32,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,negated_conjecture,
v_t @ ( v_s_H @ ( v_Z @ ( v_s @ hAPP ) @ hAPP ) @ ( v_c @ c_Natural_Oevalc ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(34,plain,
v_t @ ( v_s_H @ ( v_Z @ ( v_s @ hAPP ) @ hAPP ) @ ( v_c @ c_Natural_Oevalc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ ( B @ c_Com_Ocom_OSemi ) @ c_Natural_Oevalc ) ) )
| ( D @ ( D @ ( C @ ( A @ ( B @ c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 ) ) ) @ ( A @ c_Natural_Oevalc ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I4_J_1) ).
thf(71,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( A @ ( B @ c_Com_Ocom_OSemi ) @ c_Natural_Oevalc ) ) )
| ( D @ ( D @ ( C @ ( A @ ( B @ c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 ) ) ) @ ( A @ c_Natural_Oevalc ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(11,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( B @ ( D @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) )
| ( E @ ( B @ ( C @ ( D @ ( A @ c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 ) ) ) ) @ ( C @ ( B @ ( A @ c_Natural_Oevaln ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I4_J_0) ).
thf(54,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( B @ ( D @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) )
| ( E @ ( B @ ( C @ ( D @ ( A @ c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 ) ) ) ) @ ( C @ ( B @ ( A @ c_Natural_Oevaln ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I1_J_0) ).
thf(49,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(22,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def__raw_0) ).
thf(81,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(20,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevalc ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I1_J_0) ).
thf(76,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevalc ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(14,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Com_Ocom_OSemi ) )
!= ( D @ ( C @ c_Com_Ocom_OSemi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_1) ).
thf(63,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B = D )
| ( ( B @ ( A @ c_Com_Ocom_OSemi ) )
!= ( D @ ( C @ c_Com_Ocom_OSemi ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(27,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) )
| ( C @ ( C @ ( B @ ( A @ c_Natural_Osko__Natural__Xevalc__evaln__1__1 ) ) @ ( B @ ( A @ c_Natural_Oevaln ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__evaln_0) ).
thf(95,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) )
| ( C @ ( C @ ( B @ ( A @ c_Natural_Osko__Natural__Xevalc__evaln__1__1 ) ) @ ( B @ ( A @ c_Natural_Oevaln ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(29,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ ( C @ c_Natural_Oevalc ) ) )
| ~ ( A @ ( D @ ( C @ c_Natural_Oevalc ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com__det_0) ).
thf(99,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ ( C @ c_Natural_Oevalc ) ) )
| ~ ( A @ ( D @ ( C @ c_Natural_Oevalc ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(24,axiom,
( ( t_a @ ( v_x @ ( v_s @ c_Code__Evaluation_Otracing ) ) )
= v_x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tracing__def__raw_0) ).
thf(87,plain,
( ( t_a @ ( v_x @ ( v_s @ c_Code__Evaluation_Otracing ) ) )
= v_x ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(104,plain,
$false,
inference(e,[status(thm)],[69,56,52,46,84,102,33,41,73,35,31,43,79,68,61,89,74,92,97,32,34,71,54,49,81,76,63,95,99,87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV865-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.15/15.44 % Computer : n004.cluster.edu
% 0.15/15.44 % Model : x86_64 x86_64
% 0.15/15.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/15.44 % Memory : 8046.5625MB
% 0.15/15.44 % OS : Linux 6.8.0-71-generic
% 0.15/15.44 % CPULimit : 300
% 0.15/15.44 % WCLimit : 300
% 0.15/15.44 % DateTime : Sat Sep 26 15:05:08 UTC 2026
% 0.15/15.44 % CPUTime :
% 0.15/15.44 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.20/16.03 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.35/16.22 % [INFO] Parsing done (192ms).
% 1.35/16.24 % [INFO] Running in sequential loop mode.
% 2.15/16.63 % [INFO] eprover registered as external prover.
% 2.15/16.64 % [INFO] Scanning for conjecture ...
% 2.37/16.75 % [INFO] Found a conjecture (or negated_conjecture) and 25 axioms. Running axiom selection ...
% 2.54/16.83 % [INFO] Axiom selection finished. Selected 25 axioms (removed 0 axioms).
% 2.54/16.87 % [INFO] Problem is propositional (TPTP CNF).
% 2.54/16.88 % [INFO] Type checking passed.
% 2.54/16.88 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 4.59/17.61 % External prover 'e' found a proof!
% 4.59/17.61 % [INFO] Killing All external provers ...
% 4.59/17.61 % Time passed: 2022ms (effective reasoning time: 1366ms)
% 4.59/17.61 % Axioms used in derivation (25): cls_com_Osimps_I3_J_0, cls_tracing__def__raw_0, cls_evalc_OSemi_0, cls_evalc__evaln_0, cls_state__not__singleton__def_1, cls_eval__eq_1, cls_single__stateE_0, cls_evaln__evalc_0, cls_evaln__elim__cases_I1_J_0, cls_state__not__singleton__def_0, cls_evalc__elim__cases_I4_J_1, cls_evaln__elim__cases_I4_J_0, cls_state__not__singleton__def__raw_0, cls_evaln_OSkip_0, cls_evalc__elim__cases_I1_J_0, cls_evalc_OSkip_0, cls_evalc__elim__cases_I4_J_0, cls_evaln_OSemi_0, cls_com__det_0, cls_com_Osimps_I3_J_1, cls_eval__eq_0, cls_com_Osimps_I13_J_0, cls_evaln__elim__cases_I4_J_1, cls_com_Osimps_I12_J_0, cls_tracing__def_0
% 4.59/17.61 % No. of inferences in proof: 61
% 4.59/17.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2022 ms resp. 1366 ms w/o parsing
% 4.59/17.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.59/17.68 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------