TSTP Solution File: SYN646-1 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYN646-1 : TPTP v8.2.0. 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 : Tue May 21 08:13:03 EDT 2024
% Result : Unsatisfiable 3.61s 2.04s
% Output : Refutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 68
% Syntax : Number of formulae : 113 ( 45 unt; 24 typ; 0 def)
% Number of atoms : 171 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 1108 ( 86 ~; 82 |; 0 &; 940 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 24 usr; 5 con; 0-2 aty)
% Number of variables : 128 ( 0 ^ 128 !; 0 ?; 128 :)
% Comments :
%------------------------------------------------------------------------------
thf(p18_type,type,
p18: $i > $o ).
thf(c22_type,type,
c22: $i ).
thf(p10_type,type,
p10: $i > $i > $o ).
thf(p4_type,type,
p4: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $i > $o ).
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p16_type,type,
p16: $i > $i > $o ).
thf(p21_type,type,
p21: $i > $i > $o ).
thf(f17_type,type,
f17: $i > $i ).
thf(c25_type,type,
c25: $i ).
thf(c23_type,type,
c23: $i ).
thf(f12_type,type,
f12: $i > $i ).
thf(f11_type,type,
f11: $i > $i ).
thf(f7_type,type,
f7: $i > $i ).
thf(c24_type,type,
c24: $i ).
thf(p20_type,type,
p20: $i > $i > $o ).
thf(f14_type,type,
f14: $i > $i ).
thf(p19_type,type,
p19: $i > $i > $o ).
thf(f13_type,type,
f13: $i > $i ).
thf(f15_type,type,
f15: $i > $i ).
thf(f8_type,type,
f8: $i > $i ).
thf(f9_type,type,
f9: $i > $i ).
thf(f5_type,type,
f5: $i > $i > $i ).
thf(f6_type,type,
f6: $i > $i > $i ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ( p18 @ A )
| ~ ( p18 @ B )
| ~ ( p10 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_15) ).
thf(56,plain,
! [B: $i,A: $i] :
( ( p18 @ A )
| ~ ( p18 @ B )
| ~ ( p10 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(12,negated_conjecture,
p20 @ ( f14 @ ( f11 @ c25 ) ) @ ( f14 @ ( f11 @ c22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_12) ).
thf(52,plain,
p20 @ ( f14 @ ( f11 @ c25 ) ) @ ( f14 @ ( f11 @ c22 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(26,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_26) ).
thf(84,plain,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(32,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p20 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p20 @ D @ C )
| ~ ( p2 @ D @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_32) ).
thf(70,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p20 @ A @ B )
| ~ ( p2 @ C @ B )
| ~ ( p20 @ D @ C )
| ~ ( p2 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(28,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_28) ).
thf(65,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(18,negated_conjecture,
! [B: $i,A: $i] :
( ( p16 @ ( f17 @ A ) @ ( f17 @ B ) )
| ~ ( p10 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_18) ).
thf(53,plain,
! [B: $i,A: $i] :
( ( p16 @ ( f17 @ A ) @ ( f17 @ B ) )
| ~ ( p10 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p4 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).
thf(77,plain,
! [A: $i] : ( p4 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(44,negated_conjecture,
p10 @ ( f15 @ ( f5 @ ( f7 @ c24 ) @ ( f6 @ ( f7 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) @ ( f7 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) @ c25,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_44) ).
thf(73,plain,
p10 @ ( f15 @ ( f5 @ ( f7 @ c24 ) @ ( f6 @ ( f7 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) @ ( f7 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) @ c25,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(37,negated_conjecture,
! [B: $i,A: $i] :
( ( p21 @ ( f17 @ A ) @ ( f17 @ B ) )
| ~ ( p2 @ ( f12 @ ( f11 @ B ) ) @ ( f7 @ c24 ) )
| ~ ( p2 @ ( f12 @ ( f11 @ A ) ) @ ( f7 @ c24 ) )
| ~ ( p19 @ ( f13 @ ( f11 @ A ) ) @ ( f13 @ ( f11 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_37) ).
thf(59,plain,
! [B: $i,A: $i] :
( ( p21 @ ( f17 @ A ) @ ( f17 @ B ) )
| ~ ( p2 @ ( f12 @ ( f11 @ B ) ) @ ( f7 @ c24 ) )
| ~ ( p2 @ ( f12 @ ( f11 @ A ) ) @ ( f7 @ c24 ) )
| ~ ( p19 @ ( f13 @ ( f11 @ A ) ) @ ( f13 @ ( f11 @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(38,negated_conjecture,
p2 @ ( f14 @ ( f11 @ c23 ) ) @ ( f7 @ ( f8 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_38) ).
thf(66,plain,
p2 @ ( f14 @ ( f11 @ c23 ) ) @ ( f7 @ ( f8 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(31,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p21 @ A @ B )
| ~ ( p16 @ C @ B )
| ~ ( p21 @ D @ C )
| ~ ( p16 @ D @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_31) ).
thf(80,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p21 @ A @ B )
| ~ ( p16 @ C @ B )
| ~ ( p21 @ D @ C )
| ~ ( p16 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(22,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f7 @ A ) @ ( f7 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_22) ).
thf(72,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f7 @ A ) @ ( f7 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(30,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p19 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p19 @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_30) ).
thf(87,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p19 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p19 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(4,negated_conjecture,
! [A: $i] : ( p3 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
thf(55,plain,
! [A: $i] : ( p3 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p10 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_2) ).
thf(51,plain,
! [A: $i] : ( p10 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,negated_conjecture,
! [B: $i,A: $i] :
( ( p4 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p10 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_16) ).
thf(79,plain,
! [B: $i,A: $i] :
( ( p4 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p10 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(40,negated_conjecture,
! [B: $i,A: $i] :
( ( p21 @ ( f17 @ A ) @ ( f17 @ B ) )
| ~ ( p2 @ ( f12 @ ( f11 @ A ) ) @ ( f7 @ c24 ) )
| ~ ( p2 @ ( f12 @ ( f11 @ B ) ) @ ( f7 @ c24 ) )
| ~ ( p2 @ ( f13 @ ( f11 @ A ) ) @ ( f13 @ ( f11 @ B ) ) )
| ~ ( p20 @ ( f14 @ ( f11 @ A ) ) @ ( f14 @ ( f11 @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_40) ).
thf(83,plain,
! [B: $i,A: $i] :
( ( p21 @ ( f17 @ A ) @ ( f17 @ B ) )
| ~ ( p2 @ ( f12 @ ( f11 @ A ) ) @ ( f7 @ c24 ) )
| ~ ( p2 @ ( f12 @ ( f11 @ B ) ) @ ( f7 @ c24 ) )
| ~ ( p2 @ ( f13 @ ( f11 @ A ) ) @ ( f13 @ ( f11 @ B ) ) )
| ~ ( p20 @ ( f14 @ ( f11 @ A ) ) @ ( f14 @ ( f11 @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(17,negated_conjecture,
! [B: $i,A: $i] :
( ( p10 @ ( f15 @ A ) @ ( f15 @ B ) )
| ~ ( p4 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_17) ).
thf(69,plain,
! [B: $i,A: $i] :
( ( p10 @ ( f15 @ A ) @ ( f15 @ B ) )
| ~ ( p4 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(19,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f12 @ A ) @ ( f12 @ B ) )
| ~ ( p4 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).
thf(88,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f12 @ A ) @ ( f12 @ B ) )
| ~ ( p4 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(10,negated_conjecture,
p2 @ ( f12 @ ( f11 @ c25 ) ) @ ( f7 @ c24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
thf(46,plain,
p2 @ ( f12 @ ( f11 @ c25 ) ) @ ( f7 @ c24 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(42,negated_conjecture,
p4 @ ( f11 @ c23 ) @ ( f5 @ ( f7 @ c24 ) @ ( f6 @ ( f7 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) @ ( f7 @ ( f8 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_42) ).
thf(57,plain,
p4 @ ( f11 @ c23 ) @ ( f5 @ ( f7 @ c24 ) @ ( f6 @ ( f7 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) @ ( f7 @ ( f8 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(35,negated_conjecture,
p2 @ ( f13 @ ( f11 @ c23 ) ) @ ( f7 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_35) ).
thf(78,plain,
p2 @ ( f13 @ ( f11 @ c23 ) ) @ ( f7 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(20,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f13 @ A ) @ ( f13 @ B ) )
| ~ ( p4 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
thf(61,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f13 @ A ) @ ( f13 @ B ) )
| ~ ( p4 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(27,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_27) ).
thf(74,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(25,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p10 @ C @ A )
| ~ ( p10 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_25) ).
thf(60,plain,
! [C: $i,B: $i,A: $i] :
( ( p10 @ A @ B )
| ~ ( p10 @ C @ A )
| ~ ( p10 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(23,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_23) ).
thf(85,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(5,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
thf(45,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(33,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_33) ).
thf(64,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)],[33]) ).
thf(34,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f6 @ A @ B ) @ ( f6 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_34) ).
thf(71,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f6 @ A @ B ) @ ( f6 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(8,negated_conjecture,
~ ( p21 @ ( f17 @ c22 ) @ ( f17 @ c23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p21_8) ).
thf(54,plain,
~ ( p21 @ ( f17 @ c22 ) @ ( f17 @ c23 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,negated_conjecture,
! [A: $i] : ( p16 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_6) ).
thf(49,plain,
! [A: $i] : ( p16 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(36,negated_conjecture,
p2 @ ( f13 @ ( f11 @ c25 ) ) @ ( f7 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_36) ).
thf(86,plain,
p2 @ ( f13 @ ( f11 @ c25 ) ) @ ( f7 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(11,negated_conjecture,
p2 @ ( f12 @ ( f11 @ c23 ) ) @ ( f7 @ c24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
thf(81,plain,
p2 @ ( f12 @ ( f11 @ c23 ) ) @ ( f7 @ c24 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(39,negated_conjecture,
p2 @ ( f14 @ ( f11 @ c25 ) ) @ ( f7 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).
thf(76,plain,
p2 @ ( f14 @ ( f11 @ c25 ) ) @ ( f7 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(1,negated_conjecture,
p18 @ c22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c22_is_p18_1) ).
thf(48,plain,
p18 @ c22,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(21,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f14 @ A ) @ ( f14 @ B ) )
| ~ ( p4 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_21) ).
thf(63,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f14 @ A ) @ ( f14 @ B ) )
| ~ ( p4 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(9,negated_conjecture,
p2 @ ( f12 @ ( f11 @ c22 ) ) @ ( f7 @ c24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
thf(50,plain,
p2 @ ( f12 @ ( f11 @ c22 ) ) @ ( f7 @ c24 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,negated_conjecture,
p19 @ ( f14 @ ( f11 @ c23 ) ) @ ( f14 @ ( f11 @ c22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_13) ).
thf(67,plain,
p19 @ ( f14 @ ( f11 @ c23 ) ) @ ( f14 @ ( f11 @ c22 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(7,negated_conjecture,
~ ( p21 @ ( f17 @ c25 ) @ ( f17 @ c22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p21_7) ).
thf(75,plain,
~ ( p21 @ ( f17 @ c25 ) @ ( f17 @ c22 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(24,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_24) ).
thf(58,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(43,negated_conjecture,
p10 @ ( f15 @ ( f5 @ ( f7 @ c24 ) @ ( f6 @ ( f7 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) @ ( f7 @ ( f8 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) @ c23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_43) ).
thf(82,plain,
p10 @ ( f15 @ ( f5 @ ( f7 @ c24 ) @ ( f6 @ ( f7 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) @ ( f7 @ ( f8 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) @ c23,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(14,negated_conjecture,
p2 @ ( f13 @ ( f11 @ c23 ) ) @ ( f13 @ ( f11 @ c22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
thf(47,plain,
p2 @ ( f13 @ ( f11 @ c23 ) ) @ ( f13 @ ( f11 @ c22 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(41,negated_conjecture,
p4 @ ( f11 @ c25 ) @ ( f5 @ ( f7 @ c24 ) @ ( f6 @ ( f7 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) @ ( f7 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_41) ).
thf(68,plain,
p4 @ ( f11 @ c25 ) @ ( f5 @ ( f7 @ c24 ) @ ( f6 @ ( f7 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) @ ( f7 @ ( f9 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f9 @ ( f9 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f9 @ ( f8 @ ( f8 @ ( f8 @ ( f9 @ ( f8 @ c24 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(29,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p16 @ A @ B )
| ~ ( p16 @ C @ A )
| ~ ( p16 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_29) ).
thf(62,plain,
! [C: $i,B: $i,A: $i] :
( ( p16 @ A @ B )
| ~ ( p16 @ C @ A )
| ~ ( p16 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(113,plain,
$false,
inference(e,[status(thm)],[56,52,84,70,65,53,77,73,59,66,80,72,87,55,51,79,83,69,88,46,57,78,61,74,60,85,45,64,71,54,49,86,81,76,48,63,50,67,75,58,82,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN646-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n016.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 15:09:23 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.95/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.27/1.05 % [INFO] Parsing done (163ms).
% 1.27/1.06 % [INFO] Running in sequential loop mode.
% 1.73/1.31 % [INFO] eprover registered as external prover.
% 1.73/1.31 % [INFO] cvc4 registered as external prover.
% 1.73/1.31 % [INFO] Scanning for conjecture ...
% 2.08/1.45 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.36/1.51 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.36/1.51 % [INFO] Problem is propositional (TPTP CNF).
% 2.36/1.52 % [INFO] Type checking passed.
% 2.36/1.52 % [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 ...
% 3.61/2.03 % External prover 'e' found a proof!
% 3.61/2.03 % [INFO] Killing All external provers ...
% 3.61/2.03 % Time passed: 1520ms (effective reasoning time: 973ms)
% 3.61/2.03 % Axioms used in derivation (0):
% 3.61/2.03 % No. of inferences in proof: 89
% 3.61/2.04 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1520 ms resp. 973 ms w/o parsing
% 3.99/2.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.99/2.13 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------