%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN655-1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n009.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 09:18:04 AM UTC 2026
% Result : Unsatisfiable 60.92s 28.95s
% Output : Refutation 61.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 48
% Syntax : Number of formulae : 97 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 315 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1798 ( 222 ~; 218 |; 0 &;1358 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 14 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 32 usr; 13 con; 0-8 aty)
% Number of variables : 638 ( 0 ^; 638 !; 0 ?; 638 :)
% Comments :
%------------------------------------------------------------------------------
thf(p10_decl,type,
p10: $i > $i > $o ).
thf(p9_decl,type,
p9: $i > $i > $o ).
thf(p8_decl,type,
p8: $i > $i > $o ).
thf(p7_decl,type,
p7: $i > $i > $o ).
thf(p6_decl,type,
p6: $i > $i > $o ).
thf(p5_decl,type,
p5: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p12_decl,type,
p12: $i > $i > $o ).
thf(c22_decl,type,
c22: $i ).
thf(c23_decl,type,
c23: $i ).
thf(f4_decl,type,
f4: $i > $i ).
thf(p21_decl,type,
p21: $i > $i > $o ).
thf(f13_decl,type,
f13: $i > $i ).
thf(f11_decl,type,
f11: $i > $i > $i > $i > $i > $i > $i ).
thf(c24_decl,type,
c24: $i ).
thf(c25_decl,type,
c25: $i ).
thf(c26_decl,type,
c26: $i ).
thf(c27_decl,type,
c27: $i ).
thf(c28_decl,type,
c28: $i ).
thf(c29_decl,type,
c29: $i ).
thf(c30_decl,type,
c30: $i ).
thf(c31_decl,type,
c31: $i ).
thf(c32_decl,type,
c32: $i ).
thf(c33_decl,type,
c33: $i ).
thf(f20_decl,type,
f20: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f15_decl,type,
f15: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f16_decl,type,
f16: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f17_decl,type,
f17: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f14_decl,type,
f14: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f19_decl,type,
f19: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f18_decl,type,
f18: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(12,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ f4 @ ( B @ p3 ) )
| ( B @ ( A @ f4 @ p21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_12) ).
thf(56,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ f4 @ ( B @ p3 ) )
| ( B @ ( A @ f4 @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
thf(52,plain,
! [A: $i] : ( A @ ( A @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(18,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).
thf(84,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p8 ) )
| ~ ( A @ ( C @ p8 ) )
| ( B @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_13) ).
thf(70,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_6) ).
thf(53,plain,
! [A: $i] : ( A @ ( A @ p5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_17) ).
thf(73,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(46,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f17 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f17 ) ) ) ) ) ) ) @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_46) ).
thf(64,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f17 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f17 ) ) ) ) ) ) ) @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(42,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f14 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f14 ) ) ) ) ) ) ) @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_42) ).
thf(59,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f14 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f14 ) ) ) ) ) ) ) @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(39,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( C @ p7 ) )
| ~ ( H @ ( B @ p6 ) )
| ~ ( G @ ( A @ p5 ) )
| ~ ( L @ ( F @ p10 ) )
| ~ ( K @ ( E @ p9 ) )
| ~ ( J @ ( D @ p8 ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ f11 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_39) ).
thf(80,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( C @ p7 ) )
| ~ ( H @ ( B @ p6 ) )
| ~ ( G @ ( A @ p5 ) )
| ~ ( L @ ( F @ p10 ) )
| ~ ( K @ ( E @ p9 ) )
| ~ ( J @ ( D @ p8 ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ f11 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(45,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f18 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f18 ) ) ) ) ) ) ) @ p6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_45) ).
thf(72,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f18 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f18 ) ) ) ) ) ) ) @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ f4 @ ( A @ f4 @ p3 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
thf(87,plain,
! [B: $i,A: $i] :
( ~ ( B @ f4 @ ( A @ f4 @ p3 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
thf(55,plain,
! [A: $i] : ( A @ ( A @ p9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p7 ) )
| ( B @ f13 @ ( A @ f13 @ p12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_14) ).
thf(51,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p7 ) )
| ( B @ f13 @ ( A @ f13 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(38,negated_conjecture,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( M @ ( H @ ( I @ ( J @ ( L @ ( K @ f11 ) ) ) ) ) @ ( G @ p3 ) )
| ~ ( J @ f13 @ ( C @ f13 @ p12 ) )
| ~ ( I @ ( D @ p8 ) )
| ~ ( H @ ( E @ p9 ) )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_38) ).
thf(69,plain,
! [M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( M @ ( H @ ( I @ ( J @ ( L @ ( K @ f11 ) ) ) ) ) @ ( G @ p3 ) )
| ~ ( J @ f13 @ ( C @ f13 @ p12 ) )
| ~ ( I @ ( D @ p8 ) )
| ~ ( H @ ( E @ p9 ) )
| ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(43,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f20 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f20 ) ) ) ) ) ) ) @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_43) ).
thf(88,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f20 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f20 ) ) ) ) ) ) ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(30,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( L @ ( B @ ( K @ ( J @ ( I @ ( H @ f11 ) ) ) ) ) @ ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_30) ).
thf(93,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( L @ ( B @ ( K @ ( J @ ( I @ ( H @ f11 ) ) ) ) ) @ ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(8,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
thf(57,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(27,negated_conjecture,
c33 @ ( c23 @ ( c32 @ ( c31 @ ( c30 @ ( c29 @ f11 ) ) ) ) ) @ ( c28 @ ( c22 @ ( c27 @ ( c26 @ ( c25 @ ( c24 @ f11 ) ) ) ) ) @ p21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).
thf(78,plain,
c33 @ ( c23 @ ( c32 @ ( c31 @ ( c30 @ ( c29 @ f11 ) ) ) ) ) @ ( c28 @ ( c22 @ ( c27 @ ( c26 @ ( c25 @ ( c24 @ f11 ) ) ) ) ) @ p21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(37,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( H @ ( G @ ( A @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( H @ ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ f17 ) ) ) ) ) ) ) @ f13 @ ( A @ f13 @ p12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_37) ).
thf(61,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( H @ ( G @ ( A @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( H @ ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ f17 ) ) ) ) ) ) ) @ f13 @ ( A @ f13 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(40,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( C @ p7 ) )
| ~ ( H @ ( B @ p6 ) )
| ~ ( G @ ( A @ p5 ) )
| ~ ( L @ ( F @ p10 ) )
| ~ ( K @ ( E @ p9 ) )
| ~ ( J @ ( D @ p8 ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ f11 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_40) ).
thf(89,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( C @ p7 ) )
| ~ ( H @ ( B @ p6 ) )
| ~ ( G @ ( A @ p5 ) )
| ~ ( L @ ( F @ p10 ) )
| ~ ( K @ ( E @ p9 ) )
| ~ ( J @ ( D @ p8 ) )
| ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ f11 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(32,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( L @ ( K @ ( J @ ( B @ ( I @ ( H @ f11 ) ) ) ) ) @ ( G @ ( F @ ( E @ ( A @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_32) ).
thf(74,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( L @ ( K @ ( J @ ( B @ ( I @ ( H @ f11 ) ) ) ) ) @ ( G @ ( F @ ( E @ ( A @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(24,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p12 ) )
| ~ ( A @ ( C @ p12 ) )
| ( B @ ( A @ p12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_24) ).
thf(60,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p12 ) )
| ~ ( A @ ( C @ p12 ) )
| ( B @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(16,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_16) ).
thf(85,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(36,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( H @ ( A @ ( G @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( H @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ f16 ) ) ) ) ) ) ) @ ( A @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_36) ).
thf(92,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( H @ ( A @ ( G @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( H @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ f16 ) ) ) ) ) ) ) @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(29,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( L @ ( K @ ( J @ ( I @ ( H @ f11 ) ) ) ) ) @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_29) ).
thf(65,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( L @ ( K @ ( J @ ( I @ ( H @ f11 ) ) ) ) ) @ ( A @ ( G @ ( F @ ( E @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(44,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f19 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f19 ) ) ) ) ) ) ) @ p5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_44) ).
thf(77,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f19 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f19 ) ) ) ) ) ) ) @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_15) ).
thf(96,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(41,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f15 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f15 ) ) ) ) ) ) ) @ p9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_41) ).
thf(71,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f15 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f15 ) ) ) ) ) ) ) @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(9,negated_conjecture,
! [A: $i] : ( A @ ( A @ p12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_9) ).
thf(54,plain,
! [A: $i] : ( A @ ( A @ p12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_5) ).
thf(49,plain,
! [A: $i] : ( A @ ( A @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(31,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( L @ ( K @ ( B @ ( J @ ( I @ ( H @ f11 ) ) ) ) ) @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_31) ).
thf(86,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( L @ ( K @ ( B @ ( J @ ( I @ ( H @ f11 ) ) ) ) ) @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
thf(81,plain,
! [A: $i] : ( A @ ( A @ p8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(22,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_22) ).
thf(76,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(23,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_23) ).
thf(91,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(21,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_21) ).
thf(66,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p5 ) )
| ~ ( A @ ( C @ p5 ) )
| ( B @ ( A @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(20,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_20) ).
thf(63,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(47,negated_conjecture,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f16 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f16 ) ) ) ) ) ) ) @ p8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_47) ).
thf(95,plain,
! [P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( N @ ( F @ p7 ) )
| ~ ( K @ ( C @ p6 ) )
| ~ ( J @ ( B @ p5 ) )
| ~ ( M @ ( E @ p3 ) )
| ~ ( I @ ( A @ p2 ) )
| ~ ( L @ ( D @ p10 ) )
| ~ ( P @ ( H @ p9 ) )
| ~ ( O @ ( G @ p8 ) )
| ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ f16 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f16 ) ) ) ) ) ) ) @ p8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(10,negated_conjecture,
~ ( c23 @ ( c22 @ p9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p9_10) ).
thf(50,plain,
~ ( c23 @ ( c22 @ p9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(33,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( L @ ( K @ ( J @ ( I @ ( B @ ( H @ f11 ) ) ) ) ) @ ( G @ ( F @ ( E @ ( D @ ( A @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_33) ).
thf(67,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( L @ ( K @ ( J @ ( I @ ( B @ ( H @ f11 ) ) ) ) ) @ ( G @ ( F @ ( E @ ( D @ ( A @ ( C @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(34,negated_conjecture,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( B @ f11 ) ) ) ) ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( A @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_34) ).
thf(75,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( L @ ( K @ ( J @ ( I @ ( H @ ( B @ f11 ) ) ) ) ) @ ( G @ ( F @ ( E @ ( D @ ( C @ ( A @ f11 ) ) ) ) ) @ p3 ) )
| ( B @ ( A @ p5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_4) ).
thf(58,plain,
! [A: $i] : ( A @ ( A @ p7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(35,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( A @ ( H @ ( G @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( A @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ f15 ) ) ) ) ) ) ) @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_35) ).
thf(82,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( A @ ( H @ ( G @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( A @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ f15 ) ) ) ) ) ) ) @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(7,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
thf(79,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(19,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_19) ).
thf(94,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(28,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ f4 @ p21 ) )
| ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f20 ) ) ) ) ) ) ) @ f4 @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_28) ).
thf(68,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ f4 @ p21 ) )
| ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f20 ) ) ) ) ) ) ) @ f4 @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(25,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( G @ f4 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_25) ).
thf(62,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
~ ( G @ f4 @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ f11 ) ) ) ) ) @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p21 ) )
| ~ ( B @ ( D @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p21 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_26) ).
thf(90,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p21 ) )
| ~ ( B @ ( D @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(48,negated_conjecture,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ ( H @ ( G @ ( F @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f14 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f15 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f16 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f17 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f18 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f19 ) ) ) ) ) ) ) @ f11 ) ) ) ) ) @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_48) ).
thf(83,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ ( H @ ( G @ ( F @ ( D @ ( C @ f11 ) ) ) ) ) @ p21 ) )
| ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f14 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f15 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f16 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f17 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f18 ) ) ) ) ) ) ) @ ( H @ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ ( B @ f19 ) ) ) ) ) ) ) @ f11 ) ) ) ) ) @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(671,plain,
$false,
inference(e,[status(thm)],[56,52,84,70,53,73,64,59,80,72,87,55,51,69,88,93,57,78,61,89,74,60,85,92,65,77,96,71,54,49,86,81,76,91,66,63,95,50,67,75,58,82,79,94,68,62,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN655-1 : TPTP v9.3.1. Released v2.5.0.
% 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
% 0.14/0.40 % Computer : n009.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
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 18:18:44 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 1.34/1.22 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.91/1.57 % [INFO] Parsing done (341ms).
% 1.91/1.59 % [INFO] Running in sequential loop mode.
% 3.53/2.19 % [INFO] eprover registered as external prover.
% 3.61/2.20 % [INFO] Scanning for conjecture ...
% 3.93/2.49 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 4.65/2.76 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 4.65/2.76 % [INFO] Problem is propositional (TPTP CNF).
% 4.65/2.77 % [INFO] Type checking passed.
% 4.65/2.78 % [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 ...
% 60.92/28.94 % External prover 'e' found a proof!
% 60.92/28.94 % [INFO] Killing All external provers ...
% 60.92/28.94 % Time passed: 28359ms (effective reasoning time: 27345ms)
% 60.92/28.95 % Axioms used in derivation (0):
% 60.92/28.95 % No. of inferences in proof: 97
% 60.92/28.95 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 28359 ms resp. 27345 ms w/o parsing
% 60.92/29.05 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 61.54/29.05 % [INFO] Killing All external provers ...
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