%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWX190-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n008.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 09:15:14 AM UTC 2026
% Result : Unsatisfiable 5.88s 2.98s
% Output : Refutation 6.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 90
% Syntax : Number of formulae : 181 ( 173 unt; 0 typ; 0 def)
% Number of atoms : 189 ( 188 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 1130 ( 10 ~; 8 |; 0 &;1112 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 5 con; 0-3 aty)
% Number of variables : 356 ( 0 ^; 356 !; 0 ?; 356 :)
% Comments :
%------------------------------------------------------------------------------
thf(eq3_decl,type,
eq3: $i > $i > $i ).
thf(prop4_decl,type,
prop4: $i > $i ).
thf(bfalse_decl,type,
bfalse: $i ).
thf(btrue_decl,type,
btrue: $i ).
thf(fail32_decl,type,
fail32: $i > $i > $i ).
thf(x2_decl,type,
x2: $i ).
thf(fail4_decl,type,
fail4: $i > $i > $i ).
thf(fail_decl,type,
fail: $i > $i > $i ).
thf(fail1_decl,type,
fail1: $i > $i > $i ).
thf(y_decl,type,
y: $i > $i > $i ).
thf(fail22_decl,type,
fail22: $i > $i > $i ).
thf(x_decl,type,
x: $i > $i > $i ).
thf(fail3_decl,type,
fail3: $i > $i > $i ).
thf(fail12_decl,type,
fail12: $i > $i > $i ).
thf(n_decl,type,
n: $i > $i ).
thf(addNat_decl,type,
addNat: $i > $i > $i ).
thf(fail2_decl,type,
fail2: $i > $i > $i ).
thf(opt_decl,type,
opt: $i > $i ).
thf(mulNat_decl,type,
mulNat: $i > $i > $i ).
thf(z_decl,type,
z: $i ).
thf(s_decl,type,
s: $i > $i ).
thf(eq2_decl,type,
eq2: $i > $i > $i ).
thf(eq_decl,type,
eq: $i > $i > $i ).
thf(d_decl,type,
d: $i > $i ).
thf(aux_decl,type,
aux: $i > $i > $i > $i ).
thf(24,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ addNat ) )
= ( B @ ( A @ addNat ) @ s ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_047) ).
thf(138,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ addNat ) )
= ( B @ ( A @ addNat ) @ s ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(26,axiom,
! [B: $i,A: $i] :
( ( B @ n @ ( A @ n @ eq2 ) )
= ( B @ ( A @ eq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_066) ).
thf(142,plain,
! [B: $i,A: $i] :
( ( B @ n @ ( A @ n @ eq2 ) )
= ( B @ ( A @ eq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(42,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ x ) @ y ) @ opt )
= ( C @ ( B @ ( A @ x ) @ fail3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_058) ).
thf(174,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ x ) @ y ) @ opt )
= ( C @ ( B @ ( A @ x ) @ fail3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(27,axiom,
! [A: $i] :
( ( x2 @ ( A @ n @ fail32 ) )
= ( x2 @ ( A @ n @ fail4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_022) ).
thf(144,plain,
! [A: $i] :
( ( x2 @ ( A @ n @ fail32 ) )
= ( x2 @ ( A @ n @ fail4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(46,axiom,
! [A: $i] :
( ( A @ ( x2 @ x ) @ opt )
= ( A @ ( x2 @ fail ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_055) ).
thf(182,plain,
! [A: $i] :
( ( A @ ( x2 @ x ) @ opt )
= ( A @ ( x2 @ fail ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(32,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ mulNat ) )
= ( B @ ( A @ mulNat ) @ ( B @ addNat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_049) ).
thf(154,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ mulNat ) )
= ( B @ ( A @ mulNat ) @ ( B @ addNat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(40,axiom,
( ( x2 @ d )
= ( z @ s @ n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_046) ).
thf(170,plain,
( ( x2 @ d )
= ( z @ s @ n ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ x ) @ fail32 ) )
= ( C @ ( B @ ( A @ x ) @ fail4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_024) ).
thf(120,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ x ) @ fail32 ) )
= ( C @ ( B @ ( A @ x ) @ fail4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(56,axiom,
! [B: $i,A: $i] :
( ( B @ s @ s @ n @ ( A @ fail22 ) )
= ( B @ s @ s @ n @ ( A @ fail32 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_026) ).
thf(202,plain,
! [B: $i,A: $i] :
( ( B @ s @ s @ n @ ( A @ fail22 ) )
= ( B @ s @ s @ n @ ( A @ fail32 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(47,axiom,
! [B: $i,A: $i] :
( ( B @ s @ ( A @ s @ eq ) )
= ( B @ ( A @ eq ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_083) ).
thf(184,plain,
! [B: $i,A: $i] :
( ( B @ s @ ( A @ s @ eq ) )
= ( B @ ( A @ eq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ y ) @ fail12 ) )
= ( C @ ( B @ ( A @ y ) @ fail22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_036) ).
thf(110,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ y ) @ fail12 ) )
= ( C @ ( B @ ( A @ y ) @ fail22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(53,axiom,
! [B: $i,A: $i] :
( ( B @ s @ n @ ( A @ fail3 ) )
= ( B @ s @ n @ ( A @ fail12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_038) ).
thf(196,plain,
! [B: $i,A: $i] :
( ( B @ s @ n @ ( A @ fail3 ) )
= ( B @ s @ n @ ( A @ fail12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(31,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ y ) @ y ) @ opt )
= ( C @ ( B @ ( A @ y ) @ fail3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_059) ).
thf(152,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ y ) @ y ) @ opt )
= ( C @ ( B @ ( A @ y ) @ fail3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(69,axiom,
! [A: $i] :
( ( z @ ( A @ s @ eq ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_084) ).
thf(228,plain,
! [A: $i] :
( ( z @ ( A @ s @ eq ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(84,axiom,
! [A: $i] :
( ( A @ s @ ( z @ eq ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_085) ).
thf(261,plain,
! [A: $i] :
( ( A @ s @ ( z @ eq ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(63,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ x ) @ ( x2 @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_081) ).
thf(216,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ x ) @ ( x2 @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(37,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ s @ n @ fail12 ) )
= ( B @ ( A @ s @ s @ n @ fail22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_032) ).
thf(164,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ s @ n @ fail12 ) )
= ( B @ ( A @ s @ s @ n @ fail22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ y ) @ fail1 ) )
= ( C @ ( B @ ( A @ y ) @ fail2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_011) ).
thf(106,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ y ) @ fail1 ) )
= ( C @ ( B @ ( A @ y ) @ fail2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(21,axiom,
! [B: $i,A: $i] :
( ( B @ n @ ( A @ n @ fail32 ) )
= ( B @ ( A @ mulNat ) @ n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_019) ).
thf(132,plain,
! [B: $i,A: $i] :
( ( B @ n @ ( A @ n @ fail32 ) )
= ( B @ ( A @ mulNat ) @ n ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(13,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ y ) @ ( A @ fail3 ) )
= ( C @ ( B @ y ) @ ( A @ fail12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_041) ).
thf(116,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ y ) @ ( A @ fail3 ) )
= ( C @ ( B @ y ) @ ( A @ fail12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(86,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ x ) @ ( C @ ( A @ x ) @ eq2 ) )
= ( D @ ( C @ eq2 ) ) )
| ( ( B @ ( A @ eq2 ) )
!= btrue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_068) ).
thf(265,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ x ) @ ( C @ ( A @ x ) @ eq2 ) )
= ( D @ ( C @ eq2 ) ) )
| ( ( B @ ( A @ eq2 ) )
!= btrue ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(58,axiom,
! [A: $i] :
( ( A @ ( z @ n @ x ) @ opt )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_052) ).
thf(206,plain,
! [A: $i] :
( ( A @ ( z @ n @ x ) @ opt )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(71,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ y ) @ ( A @ n @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_072) ).
thf(233,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ y ) @ ( A @ n @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(78,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ y ) @ ( x2 @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_082) ).
thf(248,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ y ) @ ( x2 @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(88,axiom,
( ( btrue @ ( bfalse @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_064) ).
thf(270,plain,
( ( btrue @ ( bfalse @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(65,axiom,
! [B: $i,A: $i] :
( ( x2 @ ( B @ ( A @ y ) @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_079) ).
thf(220,plain,
! [B: $i,A: $i] :
( ( x2 @ ( B @ ( A @ y ) @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(6,axiom,
! [A: $i] :
( ( x2 @ ( A @ fail3 ) )
= ( x2 @ ( A @ fail12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_042) ).
thf(102,plain,
! [A: $i] :
( ( x2 @ ( A @ fail3 ) )
= ( x2 @ ( A @ fail12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(35,axiom,
! [A: $i] :
( ( A @ ( z @ addNat ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_048) ).
thf(160,plain,
! [A: $i] :
( ( A @ ( z @ addNat ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(51,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ x ) @ ( A @ n @ fail32 ) )
= ( C @ ( B @ x ) @ ( A @ n @ fail4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_020) ).
thf(192,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ x ) @ ( A @ n @ fail32 ) )
= ( C @ ( B @ x ) @ ( A @ n @ fail4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(80,axiom,
! [A: $i] :
( ( A @ ( A @ eq2 ) )
= btrue ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_087) ).
thf(252,plain,
! [A: $i] :
( ( A @ ( A @ eq2 ) )
= btrue ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(67,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ n @ ( B @ ( A @ x ) @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_074) ).
thf(224,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ n @ ( B @ ( A @ x ) @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(33,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ x ) @ d )
= ( B @ d @ ( A @ d @ x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_044) ).
thf(156,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ x ) @ d )
= ( B @ d @ ( A @ d @ x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(49,axiom,
! [A: $i] :
( ( A @ n @ opt )
= ( A @ n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_061) ).
thf(188,plain,
! [A: $i] :
( ( A @ n @ opt )
= ( A @ n ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(82,axiom,
! [A: $i] :
( ( A @ prop4 )
= ( A @ opt @ d @ opt @ ( A @ d @ opt @ eq2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_063) ).
thf(256,plain,
! [A: $i] :
( ( A @ prop4 )
= ( A @ opt @ d @ opt @ ( A @ d @ opt @ eq2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(17,axiom,
! [A: $i] :
( ( x2 @ ( A @ fail22 ) )
= ( x2 @ ( A @ fail32 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_031) ).
thf(124,plain,
! [A: $i] :
( ( x2 @ ( A @ fail22 ) )
= ( x2 @ ( A @ fail32 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(61,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ n @ y ) @ opt )
= ( B @ ( A @ s @ n @ fail3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_056) ).
thf(212,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ n @ y ) @ opt )
= ( B @ ( A @ s @ n @ fail3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(3,axiom,
! [A: $i] :
( ( x2 @ ( A @ fail ) )
= ( x2 @ ( A @ fail1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_017) ).
thf(96,plain,
! [A: $i] :
( ( x2 @ ( A @ fail ) )
= ( x2 @ ( A @ fail1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(22,axiom,
! [A: $i] :
( ( z @ n @ ( A @ fail3 ) )
= ( z @ n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_039) ).
thf(134,plain,
! [A: $i] :
( ( z @ n @ ( A @ fail3 ) )
= ( z @ n ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(76,axiom,
! [C: $i,B: $i,A: $i] :
( ( bfalse @ ( C @ ( B @ ( A @ x ) @ aux ) ) )
= ( C @ ( B @ x ) @ ( A @ x ) @ opt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_001) ).
thf(244,plain,
! [C: $i,B: $i,A: $i] :
( ( bfalse @ ( C @ ( B @ ( A @ x ) @ aux ) ) )
= ( C @ ( B @ x ) @ ( A @ x ) @ opt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(19,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ x ) @ fail1 ) )
= ( C @ ( B @ ( A @ x ) @ fail2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_010) ).
thf(128,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ x ) @ fail1 ) )
= ( C @ ( B @ ( A @ x ) @ fail2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(73,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ y ) @ ( C @ ( A @ y ) @ eq2 ) )
= ( D @ ( C @ eq2 ) ) )
| ( ( B @ ( A @ eq2 ) )
!= btrue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_070) ).
thf(237,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ y ) @ ( C @ ( A @ y ) @ eq2 ) )
= ( D @ ( C @ eq2 ) ) )
| ( ( B @ ( A @ eq2 ) )
!= btrue ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(38,axiom,
! [A: $i] :
( ( A @ ( z @ n @ y ) @ opt )
= ( z @ n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_057) ).
thf(166,plain,
! [A: $i] :
( ( A @ ( z @ n @ y ) @ opt )
= ( z @ n ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(29,axiom,
! [A: $i] :
( ( A @ n @ d )
= ( z @ n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_043) ).
thf(148,plain,
! [A: $i] :
( ( A @ n @ d )
= ( z @ n ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(45,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ y ) @ fail32 ) )
= ( C @ ( B @ y ) @ ( A @ y ) @ opt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_023) ).
thf(180,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ y ) @ fail32 ) )
= ( C @ ( B @ y ) @ ( A @ y ) @ opt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(43,axiom,
! [A: $i] :
( ( A @ ( z @ mulNat ) )
= z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_050) ).
thf(176,plain,
! [A: $i] :
( ( A @ ( z @ mulNat ) )
= z ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ x ) @ ( A @ fail3 ) )
= ( C @ ( B @ x ) @ ( A @ fail12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_040) ).
thf(118,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ x ) @ ( A @ fail3 ) )
= ( C @ ( B @ x ) @ ( A @ fail12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(57,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ n @ x ) @ opt )
= ( B @ ( A @ s @ n @ fail ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_051) ).
thf(204,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ s @ n @ x ) @ opt )
= ( B @ ( A @ s @ n @ fail ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(41,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ y ) @ x ) @ opt )
= ( C @ ( B @ ( A @ y ) @ fail ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_054) ).
thf(172,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ y ) @ x ) @ opt )
= ( C @ ( B @ ( A @ y ) @ fail ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(90,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ x ) @ ( B @ ( A @ y ) @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_078) ).
thf(274,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ x ) @ ( B @ ( A @ y ) @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(70,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ x ) @ ( C @ ( A @ x ) @ eq2 ) )
= bfalse )
| ( ( B @ ( A @ eq2 ) )
!= bfalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_067) ).
thf(230,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ x ) @ ( C @ ( A @ x ) @ eq2 ) )
= bfalse )
| ( ( B @ ( A @ eq2 ) )
!= bfalse ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ y ) @ ( A @ fail ) )
= ( C @ ( B @ y ) @ ( A @ fail1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).
thf(98,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ y ) @ ( A @ fail ) )
= ( C @ ( B @ y ) @ ( A @ fail1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(59,axiom,
! [A: $i] :
( ( z @ n @ ( A @ fail22 ) )
= ( z @ n @ ( A @ fail32 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_028) ).
thf(208,plain,
! [A: $i] :
( ( z @ n @ ( A @ fail22 ) )
= ( z @ n @ ( A @ fail32 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(25,axiom,
! [A: $i] :
( ( A @ ( z @ n @ fail12 ) )
= ( A @ ( z @ n @ fail22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_034) ).
thf(140,plain,
! [A: $i] :
( ( A @ ( z @ n @ fail12 ) )
= ( A @ ( z @ n @ fail22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ( bfalse @ ( A @ prop4 @ eq3 ) )
!= btrue ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(91,plain,
! [A: $i] :
( ( bfalse @ ( A @ prop4 @ eq3 ) )
!= btrue ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(74,axiom,
! [B: $i,A: $i] :
( ( bfalse @ ( B @ ( A @ n @ aux ) ) )
= ( B @ opt @ ( A @ n @ opt @ x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_002) ).
thf(240,plain,
! [B: $i,A: $i] :
( ( bfalse @ ( B @ ( A @ n @ aux ) ) )
= ( B @ opt @ ( A @ n @ opt @ x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(54,axiom,
! [A: $i] :
( ( A @ ( x2 @ y ) @ opt )
= ( A @ ( x2 @ fail3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_060) ).
thf(198,plain,
! [A: $i] :
( ( A @ ( x2 @ y ) @ opt )
= ( A @ ( x2 @ fail3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ x ) @ ( A @ fail ) )
= ( C @ ( B @ x ) @ ( A @ fail1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_015) ).
thf(108,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ x ) @ ( A @ fail ) )
= ( C @ ( B @ x ) @ ( A @ fail1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(20,axiom,
( ( x2 @ opt )
= x2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_062) ).
thf(130,plain,
( ( x2 @ opt )
= x2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(68,axiom,
! [A: $i] :
( ( A @ n @ ( x2 @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_080) ).
thf(226,plain,
! [A: $i] :
( ( A @ n @ ( x2 @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(36,axiom,
! [A: $i] :
( ( z @ n @ ( A @ fail ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_014) ).
thf(162,plain,
! [A: $i] :
( ( z @ n @ ( A @ fail ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ ( x2 @ fail1 ) )
= ( A @ ( x2 @ fail2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_012) ).
thf(112,plain,
! [A: $i] :
( ( A @ ( x2 @ fail1 ) )
= ( A @ ( x2 @ fail2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(52,axiom,
! [B: $i,A: $i] :
( ( B @ s @ n @ ( A @ fail ) )
= ( B @ s @ n @ ( A @ fail1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
thf(194,plain,
! [B: $i,A: $i] :
( ( B @ s @ n @ ( A @ fail ) )
= ( B @ s @ n @ ( A @ fail1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(30,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ x ) @ ( A @ n @ fail1 ) )
= ( C @ ( B @ x ) @ ( A @ n @ fail2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).
thf(150,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ x ) @ ( A @ n @ fail1 ) )
= ( C @ ( B @ x ) @ ( A @ n @ fail2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(85,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ x ) @ ( A @ n @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_071) ).
thf(263,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ x ) @ ( A @ n @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(79,axiom,
! [A: $i] :
( ( A @ ( A @ eq ) )
= btrue ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_086) ).
thf(250,plain,
! [A: $i] :
( ( A @ ( A @ eq ) )
= btrue ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(64,axiom,
! [A: $i] :
( ( bfalse @ ( A @ ( x2 @ aux ) ) )
= ( A @ opt @ ( x2 @ opt @ x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_004) ).
thf(218,plain,
! [A: $i] :
( ( bfalse @ ( A @ ( x2 @ aux ) ) )
= ( A @ opt @ ( x2 @ opt @ x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( B @ n @ ( A @ n @ fail1 ) )
= ( B @ ( A @ addNat ) @ n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_006) ).
thf(104,plain,
! [B: $i,A: $i] :
( ( B @ n @ ( A @ n @ fail1 ) )
= ( B @ ( A @ addNat ) @ n ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(83,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ y ) @ ( C @ ( A @ y ) @ eq2 ) )
= bfalse )
| ( ( B @ ( A @ eq2 ) )
!= bfalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_069) ).
thf(258,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ y ) @ ( C @ ( A @ y ) @ eq2 ) )
= bfalse )
| ( ( B @ ( A @ eq2 ) )
!= bfalse ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(34,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ fail2 ) )
= ( B @ ( A @ eq2 ) @ ( B @ ( A @ aux ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).
thf(158,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ fail2 ) )
= ( B @ ( A @ eq2 ) @ ( B @ ( A @ aux ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(48,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ x ) @ x ) @ opt )
= ( C @ ( B @ ( A @ x ) @ fail ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_053) ).
thf(186,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ x ) @ x ) @ opt )
= ( C @ ( B @ ( A @ x ) @ fail ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(12,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ y ) @ ( A @ fail22 ) )
= ( C @ ( B @ y ) @ ( A @ fail32 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_030) ).
thf(114,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ y ) @ ( A @ fail22 ) )
= ( C @ ( B @ y ) @ ( A @ fail32 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(89,axiom,
! [A: $i] :
( ( x2 @ ( A @ n @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_073) ).
thf(272,plain,
! [A: $i] :
( ( x2 @ ( A @ n @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(62,axiom,
! [B: $i,A: $i] :
( ( x2 @ ( B @ ( A @ x ) @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_076) ).
thf(214,plain,
! [B: $i,A: $i] :
( ( x2 @ ( B @ ( A @ x ) @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(72,axiom,
! [A: $i] :
( ( A @ ( A @ eq3 ) )
= btrue ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_088) ).
thf(235,plain,
! [A: $i] :
( ( A @ ( A @ eq3 ) )
= btrue ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(77,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ n @ ( B @ ( A @ y ) @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_077) ).
thf(246,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ n @ ( B @ ( A @ y ) @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(39,axiom,
! [A: $i] :
( ( A @ ( z @ s @ n @ fail12 ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_033) ).
thf(168,plain,
! [A: $i] :
( ( A @ ( z @ s @ n @ fail12 ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(28,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ fail4 ) )
= ( B @ opt @ ( A @ opt @ y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_018) ).
thf(146,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ fail4 ) )
= ( B @ opt @ ( A @ opt @ y ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(50,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ y ) @ ( A @ n @ fail32 ) )
= ( C @ ( B @ y ) @ ( A @ n @ fail4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_021) ).
thf(190,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ y ) @ ( A @ n @ fail32 ) )
= ( C @ ( B @ y ) @ ( A @ n @ fail4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(60,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ y ) @ d )
= ( B @ d @ ( A @ y ) @ ( B @ ( A @ d @ y ) @ x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_045) ).
thf(210,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ y ) @ d )
= ( B @ d @ ( A @ y ) @ ( B @ ( A @ d @ y ) @ x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(75,axiom,
( ( bfalse @ ( btrue @ eq3 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_065) ).
thf(242,plain,
( ( bfalse @ ( btrue @ eq3 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(87,axiom,
! [B: $i,A: $i] :
( ( btrue @ ( B @ ( A @ aux ) ) )
= ( A @ opt @ ( z @ s @ s @ n @ y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).
thf(268,plain,
! [B: $i,A: $i] :
( ( btrue @ ( B @ ( A @ aux ) ) )
= ( A @ opt @ ( z @ s @ s @ n @ y ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(2,axiom,
! [A: $i] :
( ( A @ ( x2 @ fail32 ) )
= ( A @ ( x2 @ fail4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_025) ).
thf(94,plain,
! [A: $i] :
( ( A @ ( x2 @ fail32 ) )
= ( A @ ( x2 @ fail4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(18,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ x ) @ fail12 ) )
= ( C @ ( B @ ( A @ x ) @ fail22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_035) ).
thf(126,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ x ) @ fail12 ) )
= ( C @ ( B @ ( A @ x ) @ fail22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(23,axiom,
! [A: $i] :
( ( z @ s @ n @ ( A @ fail22 ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_027) ).
thf(136,plain,
! [A: $i] :
( ( z @ s @ n @ ( A @ fail22 ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(55,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ y ) @ ( A @ n @ fail1 ) )
= ( C @ ( B @ y ) @ ( A @ n @ fail2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).
thf(200,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ y ) @ ( A @ n @ fail1 ) )
= ( C @ ( B @ y ) @ ( A @ n @ fail2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(44,axiom,
! [A: $i] :
( ( x2 @ ( A @ n @ fail1 ) )
= ( x2 @ ( A @ n @ fail2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_009) ).
thf(178,plain,
! [A: $i] :
( ( x2 @ ( A @ n @ fail1 ) )
= ( x2 @ ( A @ n @ fail2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(81,axiom,
! [C: $i,B: $i,A: $i] :
( ( bfalse @ ( C @ ( B @ ( A @ y ) @ aux ) ) )
= ( C @ opt @ ( B @ ( A @ y ) @ opt @ x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).
thf(254,plain,
! [C: $i,B: $i,A: $i] :
( ( bfalse @ ( C @ ( B @ ( A @ y ) @ aux ) ) )
= ( C @ opt @ ( B @ ( A @ y ) @ opt @ x ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ ( x2 @ fail12 ) )
= ( A @ ( x2 @ fail22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_037) ).
thf(122,plain,
! [A: $i] :
( ( A @ ( x2 @ fail12 ) )
= ( A @ ( x2 @ fail22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(66,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ y ) @ ( B @ ( A @ x ) @ eq2 ) )
= bfalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_075) ).
thf(222,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ y ) @ ( B @ ( A @ x ) @ eq2 ) )
= bfalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ x ) @ ( A @ fail22 ) )
= ( C @ ( B @ x ) @ ( A @ fail32 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_029) ).
thf(100,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ x ) @ ( A @ fail22 ) )
= ( C @ ( B @ x ) @ ( A @ fail32 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(280,plain,
$false,
inference(e,[status(thm)],[138,142,174,144,182,154,170,120,202,184,110,196,152,228,261,216,164,106,132,116,265,206,233,248,270,220,102,160,192,252,224,156,188,256,124,212,96,134,244,128,237,166,148,180,176,118,204,172,274,230,98,208,140,91,240,198,108,130,226,162,112,194,150,263,250,218,104,258,158,186,114,272,214,235,246,168,146,190,210,242,268,94,126,136,200,178,254,122,222,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX190-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40 % Computer : n008.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 16:54:40 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.89/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.44/1.23 % [INFO] Parsing done (233ms).
% 1.44/1.25 % [INFO] Running in sequential loop mode.
% 2.17/1.66 % [INFO] eprover registered as external prover.
% 2.17/1.67 % [INFO] Scanning for conjecture ...
% 2.38/1.78 % [INFO] Found a conjecture (or negated_conjecture) and 89 axioms. Running axiom selection ...
% 2.58/1.89 % [INFO] Axiom selection finished. Selected 89 axioms (removed 0 axioms).
% 2.79/1.98 % [INFO] Problem is propositional (TPTP CNF).
% 2.79/1.99 % [INFO] Type checking passed.
% 2.79/2.00 % [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 ...
% 5.88/2.97 % External prover 'e' found a proof!
% 5.88/2.97 % [INFO] Killing All external provers ...
% 5.88/2.97 % Time passed: 2421ms (effective reasoning time: 1719ms)
% 5.88/2.97 % Axioms used in derivation (89): axiom_028, axiom_083, axiom_069, axiom_041, axiom_029, axiom_036, axiom_025, axiom_039, axiom_024, axiom_009, axiom_040, axiom_046, axiom_017, axiom_057, axiom_035, axiom_050, axiom_067, axiom_051, axiom_073, axiom_078, axiom_061, axiom_084, axiom_010, axiom_021, axiom_032, axiom_054, axiom_002, axiom_013, axiom_043, axiom_006, axiom_079, axiom_023, axiom_049, axiom_080, axiom_034, axiom_016, axiom_056, axiom_076, axiom_027, axiom_005, axiom_045, axiom_065, axiom_038, axiom_012, axiom_062, axiom_072, axiom_001, axiom_068, axiom_087, axiom_059, axiom_044, axiom_031, axiom_086, axiom_015, axiom_004, axiom_055, axiom_033, axiom_022, axiom_075, axiom_063, axiom_011, axiom_082, axiom, axiom_026, axiom_052, axiom_037, axiom_071, axiom_020, axiom_060, axiom_048, axiom_030, axiom_074, axiom_019, axiom_085, axiom_008, axiom_003, axiom_042, axiom_014, axiom_066, axiom_077, axiom_070, axiom_047, axiom_007, axiom_081, axiom_088, axiom_018, axiom_058, axiom_053, axiom_064
% 5.88/2.97 % No. of inferences in proof: 181
% 5.88/2.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2421 ms resp. 1719 ms w/o parsing
% 6.48/3.10 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.48/3.10 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------