TSTP Solution File: SYN630-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN630-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 12:29:29 EDT 2023
% Result : Unsatisfiable 4.35s 1.91s
% Output : Refutation 4.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 65
% Syntax : Number of formulae : 102 ( 19 unt; 29 typ; 0 def)
% Number of atoms : 203 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1394 ( 128 ~; 130 |; 0 &;1136 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 37 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 29 usr; 9 con; 0-2 aty)
% Number of variables : 232 ( 0 ^; 232 !; 0 ?; 232 :)
% Comments :
%------------------------------------------------------------------------------
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p6_type,type,
p6: $i > $i > $o ).
thf(p4_type,type,
p4: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $i > $o ).
thf(p21_type,type,
p21: $i > $i > $o ).
thf(c28_type,type,
c28: $i ).
thf(f9_type,type,
f9: $i > $i ).
thf(f10_type,type,
f10: $i > $i ).
thf(f11_type,type,
f11: $i > $i ).
thf(c29_type,type,
c29: $i ).
thf(c27_type,type,
c27: $i ).
thf(f12_type,type,
f12: $i > $i > $i ).
thf(c24_type,type,
c24: $i ).
thf(f16_type,type,
f16: $i > $i ).
thf(f17_type,type,
f17: $i > $i ).
thf(f5_type,type,
f5: $i > $i > $i ).
thf(f7_type,type,
f7: $i > $i > $i ).
thf(c23_type,type,
c23: $i ).
thf(f8_type,type,
f8: $i > $i > $i ).
thf(c25_type,type,
c25: $i ).
thf(c26_type,type,
c26: $i ).
thf(p22_type,type,
p22: $i > $i > $o ).
thf(f18_type,type,
f18: $i > $i > $i ).
thf(f13_type,type,
f13: $i > $i > $i ).
thf(f14_type,type,
f14: $i > $i > $i ).
thf(f15_type,type,
f15: $i > $i > $i ).
thf(f19_type,type,
f19: $i > $i > $i ).
thf(f20_type,type,
f20: $i > $i > $i ).
thf(c30_type,type,
c30: $i ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p3 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_23) ).
thf(69,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p3 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(28,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p3 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_28) ).
thf(56,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p3 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(24,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f15 @ A @ B ) @ ( f15 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p4 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_24) ).
thf(52,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f15 @ A @ B ) @ ( f15 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p4 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(34,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f5 @ ( f7 @ A @ ( f8 @ B @ C ) ) @ D ) @ E )
| ~ ( p21 @ F @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) )
| ~ ( p21 @ E @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ B ) )
| ~ ( p22 @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ ( f18 @ B @ ( f9 @ ( f11 @ c29 ) ) ) ) @ E )
| ~ ( p3 @ D @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ F ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ G ) @ ( f14 @ ( f16 @ E ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ C ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_34) ).
thf(61,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f5 @ ( f7 @ A @ ( f8 @ B @ C ) ) @ D ) @ E )
| ~ ( p21 @ F @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) )
| ~ ( p21 @ E @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ B ) )
| ~ ( p22 @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ ( f18 @ B @ ( f9 @ ( f11 @ c29 ) ) ) ) @ E )
| ~ ( p3 @ D @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ F ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ G ) @ ( f14 @ ( f16 @ E ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(32,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f19 @ ( f7 @ A @ ( f8 @ B @ C ) ) @ D ) @ E )
| ~ ( p4 @ E @ ( f9 @ c29 ) )
| ~ ( p21 @ F @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) )
| ~ ( p21 @ G @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ B ) )
| ~ ( p3 @ D @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ F ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ E ) @ ( f14 @ ( f16 @ G ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ C ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_32) ).
thf(60,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f19 @ ( f7 @ A @ ( f8 @ B @ C ) ) @ D ) @ E )
| ~ ( p4 @ E @ ( f9 @ c29 ) )
| ~ ( p21 @ F @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) )
| ~ ( p21 @ G @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ B ) )
| ~ ( p3 @ D @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ F ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ E ) @ ( f14 @ ( f16 @ G ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(35,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f19 @ ( f7 @ A @ ( f8 @ B @ C ) ) @ D ) @ E )
| ~ ( p21 @ F @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) )
| ~ ( p21 @ G @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ B ) )
| ~ ( p22 @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ ( f18 @ B @ ( f9 @ ( f11 @ c29 ) ) ) ) @ G )
| ~ ( p3 @ D @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ F ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ E ) @ ( f14 @ ( f16 @ G ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ C ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_35) ).
thf(65,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f19 @ ( f7 @ A @ ( f8 @ B @ C ) ) @ D ) @ E )
| ~ ( p21 @ F @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) )
| ~ ( p21 @ G @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ B ) )
| ~ ( p22 @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ ( f18 @ B @ ( f9 @ ( f11 @ c29 ) ) ) ) @ G )
| ~ ( p3 @ D @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ F ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ E ) @ ( f14 @ ( f16 @ G ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f12 @ A @ B ) @ ( f12 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p4 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_25) ).
thf(53,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f12 @ A @ B ) @ ( f12 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p4 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(6,negated_conjecture,
p21 @ c27 @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ c24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_6) ).
thf(41,plain,
p21 @ c27 @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ c24 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(14,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_14) ).
thf(39,plain,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(16,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_16) ).
thf(66,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(33,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ A @ ( f16 @ ( f9 @ c29 ) ) )
| ( p4 @ ( f20 @ ( f7 @ B @ ( f8 @ C @ D ) ) @ A ) @ E )
| ~ ( p4 @ F @ ( f9 @ c29 ) )
| ~ ( p21 @ E @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) )
| ~ ( p21 @ G @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ C ) )
| ~ ( p3 @ A @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ E ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ F ) @ ( f14 @ ( f16 @ G ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ D ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_33) ).
thf(58,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ A @ ( f16 @ ( f9 @ c29 ) ) )
| ( p4 @ ( f20 @ ( f7 @ B @ ( f8 @ C @ D ) ) @ A ) @ E )
| ~ ( p4 @ F @ ( f9 @ c29 ) )
| ~ ( p21 @ E @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) )
| ~ ( p21 @ G @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ C ) )
| ~ ( p3 @ A @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ E ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ F ) @ ( f14 @ ( f16 @ G ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ D ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(15,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_15) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(9,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f17 @ A ) @ ( f17 @ B ) )
| ~ ( p3 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).
thf(42,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f17 @ A ) @ ( f17 @ B ) )
| ~ ( p3 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,negated_conjecture,
p21 @ c28 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_5) ).
thf(37,plain,
p21 @ c28 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
! [B: $i,A: $i] :
( ( p4 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p4 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_7) ).
thf(46,plain,
! [B: $i,A: $i] :
( ( p4 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p4 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(21,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f7 @ A @ B ) @ ( f7 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p6 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_21) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f7 @ A @ B ) @ ( f7 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p6 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ( p4 @ ( f10 @ A ) @ ( f10 @ B ) )
| ~ ( p4 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_10) ).
thf(38,plain,
! [B: $i,A: $i] :
( ( p4 @ ( f10 @ A ) @ ( f10 @ B ) )
| ~ ( p4 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(36,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ A @ ( f16 @ ( f9 @ c29 ) ) )
| ( p4 @ ( f20 @ ( f7 @ B @ ( f8 @ C @ D ) ) @ A ) @ E )
| ~ ( p21 @ E @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) )
| ~ ( p21 @ F @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ C ) )
| ~ ( p22 @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ ( f18 @ C @ ( f9 @ ( f11 @ c29 ) ) ) ) @ F )
| ~ ( p3 @ A @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ E ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ G ) @ ( f14 @ ( f16 @ F ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ D ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).
thf(70,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ A @ ( f16 @ ( f9 @ c29 ) ) )
| ( p4 @ ( f20 @ ( f7 @ B @ ( f8 @ C @ D ) ) @ A ) @ E )
| ~ ( p21 @ E @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) )
| ~ ( p21 @ F @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ C ) )
| ~ ( p22 @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ ( f18 @ C @ ( f9 @ ( f11 @ c29 ) ) ) ) @ F )
| ~ ( p3 @ A @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ E ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ G ) @ ( f14 @ ( f16 @ F ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ D ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(12,negated_conjecture,
~ ( p4 @ ( f5 @ ( f7 @ c23 @ ( f8 @ c24 @ c25 ) ) @ c26 ) @ c27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_12) ).
thf(45,plain,
~ ( p4 @ ( f5 @ ( f7 @ c23 @ ( f8 @ c24 @ c25 ) ) @ c26 ) @ c27 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p4 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).
thf(64,plain,
! [A: $i] : ( p4 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p6 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_2) ).
thf(44,plain,
! [A: $i] : ( p6 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,negated_conjecture,
p22 @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ ( f18 @ c24 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ c27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_17) ).
thf(59,plain,
p22 @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ ( f18 @ c24 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ c27,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(30,negated_conjecture,
p3 @ c26 @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ c28 ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ c30 ) @ ( f14 @ ( f16 @ c27 ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ c25 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_30) ).
thf(71,plain,
p3 @ c26 @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ c28 ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ c30 ) @ ( f14 @ ( f16 @ c27 ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ c25 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(20,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p6 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p4 @ B @ D )
| ~ ( p4 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_20) ).
thf(54,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p6 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p4 @ B @ D )
| ~ ( p4 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(8,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f16 @ A ) @ ( f16 @ B ) )
| ~ ( p4 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f16 @ A ) @ ( f16 @ B ) )
| ~ ( p4 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ( p4 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p4 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_11) ).
thf(48,plain,
! [B: $i,A: $i] :
( ( p4 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p4 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(27,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f19 @ A @ B ) @ ( f19 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p3 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_27) ).
thf(63,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f19 @ A @ B ) @ ( f19 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p3 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(4,negated_conjecture,
! [A: $i] : ( p3 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
thf(50,plain,
! [A: $i] : ( p3 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(31,negated_conjecture,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f5 @ ( f7 @ A @ ( f8 @ B @ C ) ) @ D ) @ E )
| ~ ( p4 @ F @ ( f9 @ c29 ) )
| ~ ( p21 @ G @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) )
| ~ ( p21 @ E @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ B ) )
| ~ ( p3 @ D @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ G ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ F ) @ ( f14 @ ( f16 @ E ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ C ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_31) ).
thf(67,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f5 @ ( f7 @ A @ ( f8 @ B @ C ) ) @ D ) @ E )
| ~ ( p4 @ F @ ( f9 @ c29 ) )
| ~ ( p21 @ G @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) )
| ~ ( p21 @ E @ ( f12 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) @ B ) )
| ~ ( p3 @ D @ ( f13 @ ( f15 @ ( f17 @ ( f16 @ ( f9 @ ( f11 @ c29 ) ) ) ) @ G ) @ ( f13 @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ F ) @ ( f14 @ ( f16 @ E ) @ ( f15 @ ( f16 @ ( f9 @ ( f10 @ ( f11 @ c29 ) ) ) ) @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(19,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p22 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ D @ B )
| ~ ( p22 @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_19) ).
thf(72,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p22 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ D @ B )
| ~ ( p22 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(13,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
thf(40,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(29,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f5 @ A @ B ) @ ( f5 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p3 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_29) ).
thf(55,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f5 @ A @ B ) @ ( f5 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p3 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(18,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p21 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ D @ B )
| ~ ( p21 @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_18) ).
thf(47,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p21 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ D @ B )
| ~ ( p21 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f18 @ A @ B ) @ ( f18 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p4 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_26) ).
thf(68,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p4 @ ( f18 @ A @ B ) @ ( f18 @ C @ D ) )
| ~ ( p4 @ A @ C )
| ~ ( p4 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(22,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p3 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_22) ).
thf(62,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p3 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(101,plain,
$false,
inference(e,[status(thm)],[69,56,52,61,60,65,53,41,39,66,58,51,42,37,46,57,38,70,45,64,44,59,71,54,49,48,63,50,67,72,43,40,55,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN630-1 : TPTP v8.1.2. Released v2.5.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 19:46:43 EDT 2023
% 0.21/0.36 % CPUTime :
% 0.84/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.30/0.97 % [INFO] Parsing done (137ms).
% 1.30/0.97 % [INFO] Running in sequential loop mode.
% 1.76/1.17 % [INFO] eprover registered as external prover.
% 1.76/1.18 % [INFO] cvc4 registered as external prover.
% 1.76/1.18 % [INFO] Scanning for conjecture ...
% 2.00/1.30 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.39/1.38 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.39/1.38 % [INFO] Problem is propositional (TPTP CNF).
% 2.39/1.38 % [INFO] Type checking passed.
% 2.39/1.39 % [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 ...
% 3.97/1.90 % External prover 'e' found a proof!
% 3.97/1.90 % [INFO] Killing All external provers ...
% 3.97/1.90 % Time passed: 1391ms (effective reasoning time: 925ms)
% 3.97/1.90 % 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)>
% 4.35/1.91 % Axioms used in derivation (0):
% 4.35/1.91 % No. of inferences in proof: 73
% 4.35/1.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1391 ms resp. 925 ms w/o parsing
% 4.59/1.99 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.59/1.99 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------