TSTP Solution File: SYN589-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN589-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 12:29:22 EDT 2023
% Result : Unsatisfiable 3.39s 1.79s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 50
% Syntax : Number of formulae : 77 ( 25 unt; 24 typ; 0 def)
% Number of atoms : 103 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 622 ( 54 ~; 50 |; 0 &; 518 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 24 usr; 11 con; 0-2 aty)
% Number of variables : 92 ( 0 ^; 92 !; 0 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p7_type,type,
p7: $i > $i > $o ).
thf(c21_type,type,
c21: $i ).
thf(f3_type,type,
f3: $i > $i ).
thf(c17_type,type,
c17: $i ).
thf(c16_type,type,
c16: $i ).
thf(p14_type,type,
p14: $i > $i > $o ).
thf(c18_type,type,
c18: $i ).
thf(f4_type,type,
f4: $i > $i ).
thf(f5_type,type,
f5: $i > $i ).
thf(c23_type,type,
c23: $i ).
thf(c19_type,type,
c19: $i ).
thf(f6_type,type,
f6: $i > $i > $i ).
thf(c24_type,type,
c24: $i ).
thf(f12_type,type,
f12: $i > $i ).
thf(f11_type,type,
f11: $i > $i ).
thf(p15_type,type,
p15: $i > $i > $o ).
thf(f13_type,type,
f13: $i > $i > $i ).
thf(f9_type,type,
f9: $i > $i > $i ).
thf(f8_type,type,
f8: $i > $i > $i ).
thf(f10_type,type,
f10: $i > $i > $i ).
thf(c20_type,type,
c20: $i ).
thf(c25_type,type,
c25: $i ).
thf(c22_type,type,
c22: $i ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f6 @ A @ B ) @ ( f6 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_23) ).
thf(52,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f6 @ A @ B ) @ ( f6 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(3,negated_conjecture,
p2 @ c21 @ ( f3 @ c17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
thf(41,plain,
p2 @ c21 @ ( f3 @ c17 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(24,negated_conjecture,
p7 @ c20 @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c17 ) ) ) ) @ c23 ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c25 ) @ ( f9 @ ( f11 @ c24 ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c22 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_24) ).
thf(49,plain,
p7 @ c20 @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c17 ) ) ) ) @ c23 ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c25 ) @ ( f9 @ ( f11 @ c24 ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c22 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f5 @ A ) @ ( f5 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ( p7 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_13) ).
thf(35,plain,
! [B: $i,A: $i] :
( ( p7 @ ( f11 @ A ) @ ( f11 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(15,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_15) ).
thf(48,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(16,negated_conjecture,
p15 @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) @ ( f13 @ c16 @ ( f3 @ ( f5 @ c17 ) ) ) ) @ c24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_16) ).
thf(43,plain,
p15 @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) @ ( f13 @ c16 @ ( f3 @ ( f5 @ c17 ) ) ) ) @ c24,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(7,negated_conjecture,
p14 @ c19 @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) @ c16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_7) ).
thf(40,plain,
p14 @ c19 @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) @ c16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,negated_conjecture,
~ ( p2 @ c16 @ ( f3 @ c17 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_4) ).
thf(47,plain,
~ ( p2 @ c16 @ ( f3 @ c17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(18,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p15 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p15 @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_18) ).
thf(42,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p15 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p15 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(17,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p14 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p14 @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_17) ).
thf(37,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p14 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p14 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(19,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).
thf(46,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f13 @ A @ B ) @ ( f13 @ C @ D ) )
| ~ ( p2 @ A @ C )
| ~ ( p2 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(14,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_14) ).
thf(29,plain,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(21,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p7 @ A @ C )
| ~ ( p7 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_21) ).
thf(33,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p7 @ A @ C )
| ~ ( p7 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f3 @ A ) @ ( f3 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
thf(28,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f3 @ A ) @ ( f3 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(22,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f10 @ A @ B ) @ ( f10 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p7 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_22) ).
thf(38,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f10 @ A @ B ) @ ( f10 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p7 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(8,negated_conjecture,
p14 @ c24 @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) @ c16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_8) ).
thf(45,plain,
p14 @ c24 @ ( f6 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) @ c16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,negated_conjecture,
p14 @ c23 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_6) ).
thf(32,plain,
p14 @ c23 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(9,negated_conjecture,
! [B: $i,A: $i] :
( ( p7 @ ( f12 @ A ) @ ( f12 @ B ) )
| ~ ( p7 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_9) ).
thf(34,plain,
! [B: $i,A: $i] :
( ( p7 @ ( f12 @ A ) @ ( f12 @ B ) )
| ~ ( p7 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
thf(44,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,negated_conjecture,
p14 @ c18 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_5) ).
thf(27,plain,
p14 @ c18 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(25,negated_conjecture,
p7 @ c20 @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c17 ) ) ) ) @ c18 ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c21 ) @ ( f9 @ ( f11 @ c19 ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c22 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).
thf(50,plain,
p7 @ c20 @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c17 ) ) ) ) @ c18 ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c21 ) @ ( f9 @ ( f11 @ c19 ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c22 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
thf(31,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p7 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
thf(36,plain,
! [A: $i] : ( p7 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(20,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f9 @ A @ B ) @ ( f9 @ C @ D ) )
| ~ ( p7 @ A @ C )
| ~ ( p7 @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_20) ).
thf(30,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p7 @ ( f9 @ A @ B ) @ ( f9 @ C @ D ) )
| ~ ( p7 @ A @ C )
| ~ ( p7 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(26,negated_conjecture,
~ ( p7 @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c17 ) ) ) ) @ c18 ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c21 ) @ ( f9 @ ( f11 @ c19 ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c22 ) ) ) ) @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c17 ) ) ) ) @ c23 ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c25 ) @ ( f9 @ ( f11 @ c24 ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c22 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p7_26) ).
thf(51,plain,
~ ( p7 @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c17 ) ) ) ) @ c18 ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c21 ) @ ( f9 @ ( f11 @ c19 ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c22 ) ) ) ) @ ( f8 @ ( f10 @ ( f12 @ ( f11 @ ( f3 @ ( f5 @ c17 ) ) ) ) @ c23 ) @ ( f8 @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c25 ) @ ( f9 @ ( f11 @ c24 ) @ ( f10 @ ( f11 @ ( f3 @ ( f4 @ ( f5 @ c17 ) ) ) ) @ c22 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(72,plain,
$false,
inference(e,[status(thm)],[52,41,49,39,35,48,43,40,47,42,37,46,29,33,28,38,45,32,34,44,27,50,31,36,30,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN589-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n004.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Thu May 18 19:21:25 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.95/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/0.98 % [INFO] Parsing done (130ms).
% 1.29/0.99 % [INFO] Running in sequential loop mode.
% 1.73/1.20 % [INFO] eprover registered as external prover.
% 1.73/1.20 % [INFO] cvc4 registered as external prover.
% 1.73/1.21 % [INFO] Scanning for conjecture ...
% 1.90/1.30 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.09/1.35 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.09/1.35 % [INFO] Problem is propositional (TPTP CNF).
% 2.09/1.35 % [INFO] Type checking passed.
% 2.09/1.36 % [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 ...
% 3.39/1.79 % External prover 'e' found a proof!
% 3.39/1.79 % [INFO] Killing All external provers ...
% 3.39/1.79 % Time passed: 1260ms (effective reasoning time: 794ms)
% 3.39/1.79 % 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)>
% 3.39/1.79 % Axioms used in derivation (0):
% 3.39/1.79 % No. of inferences in proof: 53
% 3.39/1.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1260 ms resp. 794 ms w/o parsing
% 3.61/1.87 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.61/1.87 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------