TSTP Solution File: SYN653-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN653-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:29:33 EDT 2023
% Result : Unsatisfiable 4.05s 1.92s
% Output : Refutation 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 80
% Syntax : Number of formulae : 129 ( 25 unt; 32 typ; 0 def)
% Number of atoms : 315 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1802 ( 222 ~; 218 |; 0 &;1362 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 15 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 84 ( 84 >; 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_type,type,
p10: $i > $i > $o ).
thf(p9_type,type,
p9: $i > $i > $o ).
thf(p8_type,type,
p8: $i > $i > $o ).
thf(p7_type,type,
p7: $i > $i > $o ).
thf(p6_type,type,
p6: $i > $i > $o ).
thf(p5_type,type,
p5: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $i > $o ).
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p12_type,type,
p12: $i > $i > $o ).
thf(f13_type,type,
f13: $i > $i ).
thf(c22_type,type,
c22: $i ).
thf(c23_type,type,
c23: $i ).
thf(f4_type,type,
f4: $i > $i ).
thf(p21_type,type,
p21: $i > $i > $o ).
thf(f11_type,type,
f11: $i > $i > $i > $i > $i > $i > $i ).
thf(c24_type,type,
c24: $i ).
thf(c25_type,type,
c25: $i ).
thf(c26_type,type,
c26: $i ).
thf(c27_type,type,
c27: $i ).
thf(c28_type,type,
c28: $i ).
thf(c29_type,type,
c29: $i ).
thf(c30_type,type,
c30: $i ).
thf(c31_type,type,
c31: $i ).
thf(c32_type,type,
c32: $i ).
thf(c33_type,type,
c33: $i ).
thf(f20_type,type,
f20: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f15_type,type,
f15: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f16_type,type,
f16: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f17_type,type,
f17: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f14_type,type,
f14: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f19_type,type,
f19: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(f18_type,type,
f18: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(12,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p21 @ ( f4 @ A ) @ B )
| ~ ( p3 @ B @ ( f4 @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_12) ).
thf(56,plain,
! [C: $i,B: $i,A: $i] :
( ( p21 @ ( f4 @ A ) @ B )
| ~ ( p3 @ B @ ( f4 @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p10 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
thf(52,plain,
! [A: $i] : ( p10 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(18,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p8 @ A @ B )
| ~ ( p8 @ C @ A )
| ~ ( p8 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).
thf(84,plain,
! [C: $i,B: $i,A: $i] :
( ( p8 @ A @ B )
| ~ ( p8 @ C @ A )
| ~ ( p8 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ( p12 @ ( f13 @ A ) @ ( f13 @ B ) )
| ~ ( p7 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_13) ).
thf(70,plain,
! [B: $i,A: $i] :
( ( p12 @ ( f13 @ A ) @ ( f13 @ B ) )
| ~ ( p7 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(6,negated_conjecture,
! [A: $i] : ( p5 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_6) ).
thf(53,plain,
! [A: $i] : ( p5 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p9 @ A @ B )
| ~ ( p9 @ C @ A )
| ~ ( p9 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_17) ).
thf(73,plain,
! [C: $i,B: $i,A: $i] :
( ( p9 @ A @ B )
| ~ ( p9 @ C @ A )
| ~ ( p9 @ C @ B ) ),
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] :
( ( p7 @ ( f17 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f17 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
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] :
( ( p7 @ ( f17 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f17 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
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] :
( ( p10 @ ( f14 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f14 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
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] :
( ( p10 @ ( f14 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f14 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
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] :
( ( p3 @ ( f11 @ A @ B @ C @ D @ E @ F ) @ ( f11 @ G @ H @ I @ J @ K @ L ) )
| ~ ( p8 @ D @ J )
| ~ ( p9 @ E @ K )
| ~ ( p10 @ F @ L )
| ~ ( p5 @ A @ G )
| ~ ( p6 @ B @ H )
| ~ ( p7 @ C @ I ) ),
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] :
( ( p3 @ ( f11 @ A @ B @ C @ D @ E @ F ) @ ( f11 @ G @ H @ I @ J @ K @ L ) )
| ~ ( p8 @ D @ J )
| ~ ( p9 @ E @ K )
| ~ ( p10 @ F @ L )
| ~ ( p5 @ A @ G )
| ~ ( p6 @ B @ H )
| ~ ( p7 @ C @ I ) ),
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] :
( ( p6 @ ( f18 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f18 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
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] :
( ( p6 @ ( f18 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f18 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p3 @ ( f4 @ A ) @ ( f4 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
thf(87,plain,
! [B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p3 @ ( f4 @ A ) @ ( f4 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p9 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
thf(55,plain,
! [A: $i] : ( p9 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).
thf(51,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
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] :
( ( p21 @ ( f11 @ A @ B @ C @ D @ E @ F ) @ G )
| ~ ( p9 @ E @ H )
| ~ ( p8 @ D @ I )
| ~ ( p12 @ ( f13 @ C ) @ ( f13 @ J ) )
| ~ ( p3 @ G @ ( f11 @ K @ L @ J @ I @ H @ M ) ) ),
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] :
( ( p21 @ ( f11 @ A @ B @ C @ D @ E @ F ) @ G )
| ~ ( p9 @ E @ H )
| ~ ( p8 @ D @ I )
| ~ ( p12 @ ( f13 @ C ) @ ( f13 @ J ) )
| ~ ( p3 @ G @ ( f11 @ K @ L @ J @ I @ H @ M ) ) ),
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] :
( ( p2 @ ( f20 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f20 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
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] :
( ( p2 @ ( f20 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f20 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
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] :
( ( p9 @ A @ B )
| ~ ( p3 @ ( f11 @ C @ D @ E @ F @ A @ G ) @ ( f11 @ H @ I @ J @ K @ B @ L ) ) ),
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] :
( ( p9 @ A @ B )
| ~ ( p3 @ ( f11 @ C @ D @ E @ F @ A @ G ) @ ( f11 @ H @ I @ J @ K @ B @ L ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(8,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
thf(57,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(27,negated_conjecture,
p21 @ ( f11 @ c24 @ c25 @ c22 @ c26 @ c27 @ c28 ) @ ( f11 @ c29 @ c30 @ c23 @ c31 @ c32 @ c33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).
thf(78,plain,
p21 @ ( f11 @ c24 @ c25 @ c22 @ c26 @ c27 @ c28 ) @ ( f11 @ c29 @ c30 @ c23 @ c31 @ c32 @ c33 ),
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] :
( ( p12 @ ( f13 @ A ) @ ( f13 @ ( f17 @ B @ C @ D @ E @ F @ A @ G @ H ) ) )
| ~ ( p21 @ ( f11 @ C @ D @ A @ G @ H @ E ) @ F ) ),
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] :
( ( p12 @ ( f13 @ A ) @ ( f13 @ ( f17 @ B @ C @ D @ E @ F @ A @ G @ H ) ) )
| ~ ( p21 @ ( f11 @ C @ D @ A @ G @ H @ E ) @ F ) ),
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] :
( ( p3 @ ( f11 @ A @ B @ C @ D @ E @ F ) @ ( f11 @ G @ H @ I @ J @ K @ L ) )
| ~ ( p8 @ D @ J )
| ~ ( p9 @ E @ K )
| ~ ( p10 @ F @ L )
| ~ ( p5 @ A @ G )
| ~ ( p6 @ B @ H )
| ~ ( p7 @ C @ I ) ),
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] :
( ( p3 @ ( f11 @ A @ B @ C @ D @ E @ F ) @ ( f11 @ G @ H @ I @ J @ K @ L ) )
| ~ ( p8 @ D @ J )
| ~ ( p9 @ E @ K )
| ~ ( p10 @ F @ L )
| ~ ( p5 @ A @ G )
| ~ ( p6 @ B @ H )
| ~ ( p7 @ C @ I ) ),
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] :
( ( p7 @ A @ B )
| ~ ( p3 @ ( f11 @ C @ D @ A @ E @ F @ G ) @ ( f11 @ H @ I @ B @ J @ K @ L ) ) ),
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] :
( ( p7 @ A @ B )
| ~ ( p3 @ ( f11 @ C @ D @ A @ E @ F @ G ) @ ( f11 @ H @ I @ B @ J @ K @ L ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(24,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p12 @ C @ A )
| ~ ( p12 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_24) ).
thf(60,plain,
! [C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p12 @ C @ A )
| ~ ( p12 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(16,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p10 @ C @ A )
| ~ ( p10 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_16) ).
thf(85,plain,
! [C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p10 @ C @ A )
| ~ ( p10 @ C @ B ) ),
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] :
( ( p8 @ A @ ( f16 @ B @ C @ D @ E @ F @ G @ A @ H ) )
| ~ ( p21 @ ( f11 @ C @ D @ G @ A @ H @ E ) @ F ) ),
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] :
( ( p8 @ A @ ( f16 @ B @ C @ D @ E @ F @ G @ A @ H ) )
| ~ ( p21 @ ( f11 @ C @ D @ G @ A @ H @ E ) @ F ) ),
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] :
( ( p10 @ A @ B )
| ~ ( p3 @ ( f11 @ C @ D @ E @ F @ G @ A ) @ ( f11 @ H @ I @ J @ K @ L @ B ) ) ),
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] :
( ( p10 @ A @ B )
| ~ ( p3 @ ( f11 @ C @ D @ E @ F @ G @ A ) @ ( f11 @ H @ I @ J @ K @ L @ B ) ) ),
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] :
( ( p5 @ ( f19 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f19 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
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] :
( ( p5 @ ( f19 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f19 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_15) ).
thf(96,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
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] :
( ( p9 @ ( f15 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f15 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
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] :
( ( p9 @ ( f15 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f15 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(9,negated_conjecture,
! [A: $i] : ( p12 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_9) ).
thf(54,plain,
! [A: $i] : ( p12 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,negated_conjecture,
! [A: $i] : ( p6 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_5) ).
thf(49,plain,
! [A: $i] : ( p6 @ A @ A ),
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] :
( ( p8 @ A @ B )
| ~ ( p3 @ ( f11 @ C @ D @ E @ A @ F @ G ) @ ( f11 @ H @ I @ J @ B @ K @ L ) ) ),
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] :
( ( p8 @ A @ B )
| ~ ( p3 @ ( f11 @ C @ D @ E @ A @ F @ G ) @ ( f11 @ H @ I @ J @ B @ K @ L ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p8 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
thf(81,plain,
! [A: $i] : ( p8 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(22,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_22) ).
thf(76,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(23,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_23) ).
thf(91,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(21,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p5 @ A @ B )
| ~ ( p5 @ C @ A )
| ~ ( p5 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_21) ).
thf(66,plain,
! [C: $i,B: $i,A: $i] :
( ( p5 @ A @ B )
| ~ ( p5 @ C @ A )
| ~ ( p5 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(20,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_20) ).
thf(63,plain,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
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] :
( ( p8 @ ( f16 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f16 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
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] :
( ( p8 @ ( f16 @ A @ B @ C @ D @ E @ F @ G @ H ) @ ( f16 @ I @ J @ K @ L @ M @ N @ O @ P ) )
| ~ ( p8 @ G @ O )
| ~ ( p9 @ H @ P )
| ~ ( p10 @ D @ L )
| ~ ( p2 @ A @ I )
| ~ ( p3 @ E @ M )
| ~ ( p5 @ B @ J )
| ~ ( p6 @ C @ K )
| ~ ( p7 @ F @ N ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(10,negated_conjecture,
~ ( p12 @ ( f13 @ c22 ) @ ( f13 @ c23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_10) ).
thf(50,plain,
~ ( p12 @ ( f13 @ c22 ) @ ( f13 @ c23 ) ),
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] :
( ( p6 @ A @ B )
| ~ ( p3 @ ( f11 @ C @ A @ D @ E @ F @ G ) @ ( f11 @ H @ B @ I @ J @ K @ L ) ) ),
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] :
( ( p6 @ A @ B )
| ~ ( p3 @ ( f11 @ C @ A @ D @ E @ F @ G ) @ ( f11 @ H @ B @ I @ J @ K @ L ) ) ),
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] :
( ( p5 @ A @ B )
| ~ ( p3 @ ( f11 @ A @ C @ D @ E @ F @ G ) @ ( f11 @ B @ H @ I @ J @ K @ L ) ) ),
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] :
( ( p5 @ A @ B )
| ~ ( p3 @ ( f11 @ A @ C @ D @ E @ F @ G ) @ ( f11 @ B @ H @ I @ J @ K @ L ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(4,negated_conjecture,
! [A: $i] : ( p7 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_4) ).
thf(58,plain,
! [A: $i] : ( p7 @ A @ A ),
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] :
( ( p9 @ A @ ( f15 @ B @ C @ D @ E @ F @ G @ H @ A ) )
| ~ ( p21 @ ( f11 @ C @ D @ G @ H @ A @ E ) @ F ) ),
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] :
( ( p9 @ A @ ( f15 @ B @ C @ D @ E @ F @ G @ H @ A ) )
| ~ ( p21 @ ( f11 @ C @ D @ G @ H @ A @ E ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(7,negated_conjecture,
! [A: $i] : ( p3 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
thf(79,plain,
! [A: $i] : ( p3 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(19,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_19) ).
thf(94,plain,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
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] :
( ( p3 @ A @ ( f4 @ ( f20 @ B @ C @ D @ E @ A @ F @ G @ H ) ) )
| ~ ( p21 @ ( f4 @ B ) @ A ) ),
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] :
( ( p3 @ A @ ( f4 @ ( f20 @ B @ C @ D @ E @ A @ F @ G @ H ) ) )
| ~ ( p21 @ ( f4 @ B ) @ A ) ),
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] :
~ ( p3 @ ( f11 @ A @ B @ C @ D @ E @ F ) @ ( f4 @ G ) ),
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] :
~ ( p3 @ ( f11 @ A @ B @ C @ D @ E @ F ) @ ( f4 @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p21 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ D @ B )
| ~ ( p21 @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_26) ).
thf(90,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p21 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ D @ B )
| ~ ( p21 @ C @ D ) ),
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] :
( ( p3 @ A @ ( f11 @ ( f19 @ B @ C @ D @ E @ A @ F @ G @ H ) @ ( f18 @ B @ C @ D @ E @ A @ F @ G @ H ) @ ( f17 @ B @ C @ D @ E @ A @ F @ G @ H ) @ ( f16 @ B @ C @ D @ E @ A @ F @ G @ H ) @ ( f15 @ B @ C @ D @ E @ A @ F @ G @ H ) @ ( f14 @ B @ C @ D @ E @ A @ F @ G @ H ) ) )
| ~ ( p21 @ ( f11 @ C @ D @ F @ G @ H @ E ) @ A ) ),
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] :
( ( p3 @ A @ ( f11 @ ( f19 @ B @ C @ D @ E @ A @ F @ G @ H ) @ ( f18 @ B @ C @ D @ E @ A @ F @ G @ H ) @ ( f17 @ B @ C @ D @ E @ A @ F @ G @ H ) @ ( f16 @ B @ C @ D @ E @ A @ F @ G @ H ) @ ( f15 @ B @ C @ D @ E @ A @ F @ G @ H ) @ ( f14 @ B @ C @ D @ E @ A @ F @ G @ H ) ) )
| ~ ( p21 @ ( f11 @ C @ D @ F @ G @ H @ E ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(135,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
% 0.06/0.11 % Problem : SYN653-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.14 % Command : run_Leo-III %s %d
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 18 20:08:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.91/0.82 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.96 % [INFO] Parsing done (135ms).
% 1.23/0.97 % [INFO] Running in sequential loop mode.
% 1.79/1.17 % [INFO] eprover registered as external prover.
% 1.79/1.17 % [INFO] cvc4 registered as external prover.
% 1.79/1.17 % [INFO] Scanning for conjecture ...
% 2.10/1.29 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.41/1.41 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.41/1.41 % [INFO] Problem is propositional (TPTP CNF).
% 2.41/1.42 % [INFO] Type checking passed.
% 2.41/1.42 % [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 ...
% 4.05/1.91 % External prover 'e' found a proof!
% 4.05/1.91 % [INFO] Killing All external provers ...
% 4.05/1.91 % Time passed: 1407ms (effective reasoning time: 942ms)
% 4.05/1.91 % Solved by 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)>
% 4.05/1.92 % Axioms used in derivation (0):
% 4.05/1.92 % No. of inferences in proof: 97
% 4.05/1.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1407 ms resp. 942 ms w/o parsing
% 4.61/2.02 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.61/2.02 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------