TSTP Solution File: SYN651-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN651-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 3.62s 1.86s
% Output : Refutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 78
% Syntax : Number of formulae : 124 ( 31 unt; 33 typ; 0 def)
% Number of atoms : 201 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 974 ( 112 ~; 110 |; 0 &; 752 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 33 usr; 12 con; 0-2 aty)
% Number of variables : 228 ( 0 ^; 228 !; 0 ?; 228 :)
% Comments :
%------------------------------------------------------------------------------
thf(p11_type,type,
p11: $i > $i > $o ).
thf(p9_type,type,
p9: $i > $i > $o ).
thf(p8_type,type,
p8: $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(p2_type,type,
p2: $i > $i > $o ).
thf(p19_type,type,
p19: $i > $i > $o ).
thf(p17_type,type,
p17: $i > $i > $o ).
thf(p15_type,type,
p15: $i > $i > $o ).
thf(p13_type,type,
p13: $i > $i > $o ).
thf(p23_type,type,
p23: $i > $i > $o ).
thf(f5_type,type,
f5: $i > $i > $i ).
thf(c27_type,type,
c27: $i ).
thf(c28_type,type,
c28: $i ).
thf(c30_type,type,
c30: $i ).
thf(f7_type,type,
f7: $i > $i > $i ).
thf(f10_type,type,
f10: $i > $i > $i ).
thf(c24_type,type,
c24: $i ).
thf(f12_type,type,
f12: $i > $i > $i ).
thf(c25_type,type,
c25: $i ).
thf(c26_type,type,
c26: $i ).
thf(c29_type,type,
c29: $i ).
thf(f16_type,type,
f16: $i > $i > $i ).
thf(f14_type,type,
f14: $i > $i > $i ).
thf(f20_type,type,
f20: $i > $i > $i ).
thf(f18_type,type,
f18: $i > $i > $i ).
thf(f22_type,type,
f22: $i > $i > $i ).
thf(c32_type,type,
c32: $i ).
thf(c33_type,type,
c33: $i ).
thf(c34_type,type,
c34: $i ).
thf(c31_type,type,
c31: $i ).
thf(4,negated_conjecture,
! [A: $i] : ( p6 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_4) ).
thf(56,plain,
! [A: $i] : ( p6 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p9 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
thf(52,plain,
! [A: $i] : ( p9 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(43,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ A ) ) @ B ) @ C ) @ D )
| ~ ( p23 @ ( f5 @ B @ E ) @ D )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ A ) @ B ) @ C ) @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_43) ).
thf(84,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ A ) ) @ B ) @ C ) @ D )
| ~ ( p23 @ ( f5 @ B @ E ) @ D )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ A ) @ B ) @ C ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(45,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ A ) @ B ) @ C ) @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c31 @ A ) @ C ) @ B ) @ D ) )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ A ) ) @ B ) @ C ) @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_45) ).
thf(70,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ A ) @ B ) @ C ) @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c31 @ A ) @ C ) @ B ) @ D ) )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ A ) ) @ B ) @ C ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(33,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p13 @ A @ C )
| ~ ( p3 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_33) ).
thf(65,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p13 @ A @ C )
| ~ ( p3 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(12,negated_conjecture,
! [A: $i] : ( p13 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_12) ).
thf(53,plain,
! [A: $i] : ( p13 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(7,negated_conjecture,
! [A: $i] : ( p21 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_7) ).
thf(77,plain,
! [A: $i] : ( p21 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(34,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f7 @ A @ B ) @ ( f7 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p6 @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_34) ).
thf(73,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f7 @ A @ B ) @ ( f7 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p6 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(21,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_21) ).
thf(64,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p15 @ A @ B )
| ~ ( p15 @ C @ A )
| ~ ( p15 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_24) ).
thf(59,plain,
! [C: $i,B: $i,A: $i] :
( ( p15 @ A @ B )
| ~ ( p15 @ C @ A )
| ~ ( p15 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(28,negated_conjecture,
~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ ( f12 @ c25 @ c26 ) ) ) @ c27 ) @ c28 ) @ c29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p23_28) ).
thf(66,plain,
~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ ( f12 @ c25 @ c26 ) ) ) @ c27 ) @ c28 ) @ c29 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(35,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p17 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
| ~ ( p19 @ A @ C )
| ~ ( p9 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_35) ).
thf(80,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p17 @ ( f20 @ A @ B ) @ ( f20 @ C @ D ) )
| ~ ( p19 @ A @ C )
| ~ ( p9 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(32,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/sandbox/benchmark/theBenchmark.p',p4_32) ).
thf(72,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)],[32]) ).
thf(23,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p17 @ A @ B )
| ~ ( p17 @ C @ A )
| ~ ( p17 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_23) ).
thf(87,plain,
! [C: $i,B: $i,A: $i] :
( ( p17 @ A @ B )
| ~ ( p17 @ C @ A )
| ~ ( p17 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(8,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
thf(55,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,negated_conjecture,
! [A: $i] : ( p19 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_9) ).
thf(51,plain,
! [A: $i] : ( p19 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p8 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
thf(79,plain,
! [A: $i] : ( p8 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(41,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ ( f5 @ A @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c31 @ B ) @ C ) @ A ) @ D ) ) @ D )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ B ) ) @ A ) @ C ) @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_41) ).
thf(69,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ ( f5 @ A @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c31 @ B ) @ C ) @ A ) @ D ) ) @ D )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ B ) ) @ A ) @ C ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(36,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p15 @ ( f18 @ A @ B ) @ ( f18 @ C @ D ) )
| ~ ( p17 @ A @ C )
| ~ ( p3 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_36) ).
thf(88,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p15 @ ( f18 @ A @ B ) @ ( f18 @ C @ D ) )
| ~ ( p17 @ A @ C )
| ~ ( p3 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(5,negated_conjecture,
! [A: $i] : ( p4 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
thf(46,plain,
! [A: $i] : ( p4 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(15,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_15) ).
thf(57,plain,
! [C: $i,B: $i,A: $i] :
( ( p9 @ A @ B )
| ~ ( p9 @ C @ A )
| ~ ( p9 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(39,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c32 @ c33 ) ) @ A ) @ B ) @ C )
| ~ ( p3 @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_39) ).
thf(78,plain,
! [C: $i,B: $i,A: $i] :
( ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c32 @ c33 ) ) @ A ) @ B ) @ C )
| ~ ( p3 @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(25,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p13 @ A @ B )
| ~ ( p13 @ C @ A )
| ~ ( p13 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_25) ).
thf(61,plain,
! [C: $i,B: $i,A: $i] :
( ( p13 @ A @ B )
| ~ ( p13 @ C @ A )
| ~ ( p13 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(30,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p9 @ ( f12 @ A @ B ) @ ( f12 @ C @ D ) )
| ~ ( p11 @ A @ C )
| ~ ( p9 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_30) ).
thf(89,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p9 @ ( f12 @ A @ B ) @ ( f12 @ C @ D ) )
| ~ ( p11 @ A @ C )
| ~ ( p9 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(22,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p19 @ A @ B )
| ~ ( p19 @ C @ A )
| ~ ( p19 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_22) ).
thf(74,plain,
! [C: $i,B: $i,A: $i] :
( ( p19 @ A @ B )
| ~ ( p19 @ C @ A )
| ~ ( p19 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(37,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p13 @ ( f22 @ A @ B ) @ ( f22 @ C @ D ) )
| ~ ( p21 @ A @ C )
| ~ ( p3 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_37) ).
thf(60,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p13 @ ( f22 @ A @ B ) @ ( f22 @ C @ D ) )
| ~ ( p21 @ A @ C )
| ~ ( p3 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(40,negated_conjecture,
! [B: $i,A: $i] :
( ( p23 @ ( f5 @ c27 @ A ) @ ( f14 @ ( f22 @ c34 @ B ) @ A ) )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c27 ) @ A ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_40) ).
thf(85,plain,
! [B: $i,A: $i] :
( ( p23 @ ( f5 @ c27 @ A ) @ ( f14 @ ( f22 @ c34 @ B ) @ A ) )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c27 ) @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(17,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_17) ).
thf(71,plain,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(18,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_18) ).
thf(54,plain,
! [C: $i,B: $i,A: $i] :
( ( p4 @ A @ B )
| ~ ( p4 @ C @ A )
| ~ ( p4 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p11 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).
thf(49,plain,
! [A: $i] : ( p11 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(26,negated_conjecture,
p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c27 ) @ c30 ) @ c29,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_26) ).
thf(86,plain,
p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c27 ) @ c30 ) @ c29,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(16,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_16) ).
thf(81,plain,
! [C: $i,B: $i,A: $i] :
( ( p8 @ A @ B )
| ~ ( p8 @ C @ A )
| ~ ( p8 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(27,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ A @ B )
| ~ ( p3 @ C @ B )
| ~ ( p4 @ D @ A )
| ~ ( p23 @ D @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_27) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p23 @ A @ B )
| ~ ( p3 @ C @ B )
| ~ ( p4 @ D @ A )
| ~ ( p23 @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(14,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p11 @ A @ B )
| ~ ( p11 @ C @ A )
| ~ ( p11 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_14) ).
thf(48,plain,
! [C: $i,B: $i,A: $i] :
( ( p11 @ A @ B )
| ~ ( p11 @ C @ A )
| ~ ( p11 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(29,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p13 @ ( f16 @ A @ B ) @ ( f16 @ C @ D ) )
| ~ ( p15 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_29) ).
thf(63,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p13 @ ( f16 @ A @ B ) @ ( f16 @ C @ D ) )
| ~ ( p15 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(6,negated_conjecture,
! [A: $i] : ( p3 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
thf(50,plain,
! [A: $i] : ( p3 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(38,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c32 @ c33 ) ) @ C ) @ A ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_38) ).
thf(67,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c32 @ c33 ) ) @ C ) @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(44,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c27 ) @ A ) @ B )
| ~ ( p23 @ ( f5 @ c27 @ A ) @ C )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ c26 ) @ c27 ) @ C ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_44) ).
thf(75,plain,
! [C: $i,B: $i,A: $i] :
( ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c27 ) @ A ) @ B )
| ~ ( p23 @ ( f5 @ c27 @ A ) @ C )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ c26 ) @ c27 ) @ C ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(42,negated_conjecture,
! [B: $i,A: $i] :
( ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ c26 ) @ c27 ) @ ( f14 @ ( f22 @ c34 @ A ) @ B ) ) @ A )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c27 ) @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_42) ).
thf(58,plain,
! [B: $i,A: $i] :
( ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ c26 ) @ c27 ) @ ( f14 @ ( f22 @ c34 @ A ) @ B ) ) @ A )
| ~ ( p23 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c27 ) @ B ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(31,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p6 @ ( f10 @ A @ B ) @ ( f10 @ C @ D ) )
| ~ ( p8 @ A @ C )
| ~ ( p9 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_31) ).
thf(82,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p6 @ ( f10 @ A @ B ) @ ( f10 @ C @ D ) )
| ~ ( p8 @ A @ C )
| ~ ( p9 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(10,negated_conjecture,
! [A: $i] : ( p17 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_10) ).
thf(47,plain,
! [A: $i] : ( p17 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(13,negated_conjecture,
p23 @ ( f5 @ c27 @ c28 ) @ c30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_13) ).
thf(68,plain,
p23 @ ( f5 @ c27 @ c28 ) @ c30,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(20,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p21 @ A @ B )
| ~ ( p21 @ C @ A )
| ~ ( p21 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_20) ).
thf(62,plain,
! [C: $i,B: $i,A: $i] :
( ( p21 @ A @ B )
| ~ ( p21 @ C @ A )
| ~ ( p21 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(19,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_19) ).
thf(90,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(11,negated_conjecture,
! [A: $i] : ( p15 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_11) ).
thf(83,plain,
! [A: $i] : ( p15 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(122,plain,
$false,
inference(e,[status(thm)],[56,52,84,70,65,53,77,73,64,59,66,80,72,87,55,51,79,69,88,46,57,78,61,89,74,60,85,71,54,49,86,81,76,48,63,50,67,75,58,82,47,68,62,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN651-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 19:32:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.84/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.32/0.95 % [INFO] Parsing done (121ms).
% 1.32/0.96 % [INFO] Running in sequential loop mode.
% 1.56/1.16 % [INFO] eprover registered as external prover.
% 1.72/1.16 % [INFO] cvc4 registered as external prover.
% 1.72/1.16 % [INFO] Scanning for conjecture ...
% 1.93/1.28 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.14/1.35 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.14/1.35 % [INFO] Problem is propositional (TPTP CNF).
% 2.14/1.35 % [INFO] Type checking passed.
% 2.14/1.36 % [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 ...
% 3.62/1.85 % External prover 'e' found a proof!
% 3.62/1.85 % [INFO] Killing All external provers ...
% 3.62/1.86 % Time passed: 1345ms (effective reasoning time: 891ms)
% 3.62/1.86 % 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)>
% 3.62/1.86 % Axioms used in derivation (0):
% 3.62/1.86 % No. of inferences in proof: 91
% 3.62/1.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1345 ms resp. 891 ms w/o parsing
% 3.94/1.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.94/1.97 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------