TSTP Solution File: SYN583-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN583-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.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 12:29:21 EDT 2023
% Result : Unsatisfiable 3.00s 1.72s
% Output : Refutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 42
% Syntax : Number of formulae : 68 ( 19 unt; 17 typ; 0 def)
% Number of atoms : 113 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 416 ( 62 ~; 62 |; 0 &; 292 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 92 ( 0 ^; 92 !; 0 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(p7_type,type,
p7: $i > $i > $o ).
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p5_type,type,
p5: $i > $i > $o ).
thf(c13_type,type,
c13: $i ).
thf(c18_type,type,
c18: $i ).
thf(c14_type,type,
c14: $i ).
thf(f3_type,type,
f3: $i > $i ).
thf(f8_type,type,
f8: $i > $i ).
thf(f9_type,type,
f9: $i > $i ).
thf(c17_type,type,
c17: $i ).
thf(p11_type,type,
p11: $i > $i > $o ).
thf(f4_type,type,
f4: $i > $i ).
thf(f6_type,type,
f6: $i > $i > $i ).
thf(c15_type,type,
c15: $i ).
thf(c16_type,type,
c16: $i ).
thf(p12_type,type,
p12: $i > $i > $o ).
thf(p10_type,type,
p10: $i > $i > $i > $o ).
thf(18,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_18) ).
thf(41,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(24,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ A @ B @ C )
| ~ ( p5 @ D @ A )
| ~ ( p2 @ E @ C )
| ~ ( p2 @ F @ B )
| ~ ( p10 @ D @ F @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_24) ).
thf(49,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p10 @ A @ B @ C )
| ~ ( p5 @ D @ A )
| ~ ( p2 @ E @ C )
| ~ ( p2 @ F @ B )
| ~ ( p10 @ D @ F @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(7,negated_conjecture,
p11 @ ( f4 @ ( f6 @ c15 @ c13 ) ) @ c16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
thf(39,plain,
p11 @ ( f4 @ ( f6 @ c15 @ c13 ) ) @ c16,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
thf(35,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p7 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
thf(48,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p7 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ( p11 @ A @ B )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_11) ).
thf(43,plain,
! [B: $i,A: $i] :
( ( p11 @ A @ B )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(4,negated_conjecture,
p2 @ c13 @ c18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
thf(47,plain,
p2 @ c13 @ c18,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(16,negated_conjecture,
! [B: $i,A: $i] :
( ( p12 @ A @ B )
| ( p2 @ A @ B )
| ~ ( p11 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_16) ).
thf(42,plain,
! [B: $i,A: $i] :
( ( p12 @ A @ B )
| ( p2 @ A @ B )
| ~ ( p11 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(22,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p12 @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_22) ).
thf(37,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p12 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p12 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(19,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p5 @ A @ B )
| ~ ( p5 @ C @ A )
| ~ ( p5 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_19) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ( p5 @ A @ B )
| ~ ( p5 @ C @ A )
| ~ ( p5 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(20,negated_conjecture,
! [A: $i] :
( ( p10 @ c15 @ ( f3 @ A ) @ A )
| ~ ( p11 @ A @ c14 )
| ~ ( p11 @ c13 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_20) ).
thf(29,plain,
! [A: $i] :
( ( p10 @ c15 @ ( f3 @ A ) @ A )
| ~ ( p11 @ A @ c14 )
| ~ ( p11 @ c13 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(9,negated_conjecture,
~ ( p11 @ ( f4 @ ( f6 @ c15 @ c18 ) ) @ c16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_9) ).
thf(33,plain,
~ ( p11 @ ( f4 @ ( f6 @ c15 @ c18 ) ) @ c16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
thf(28,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ( p7 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p7 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_12) ).
thf(38,plain,
! [B: $i,A: $i] :
( ( p7 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p7 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(8,negated_conjecture,
p11 @ ( f4 @ ( f6 @ c15 @ c14 ) ) @ c16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_8) ).
thf(45,plain,
p11 @ ( f4 @ ( f6 @ c15 @ c14 ) ) @ c16,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(21,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p11 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p11 @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_21) ).
thf(32,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p11 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p11 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f3 @ A ) @ ( f3 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).
thf(34,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f3 @ A ) @ ( f3 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f6 @ A @ B ) @ ( f6 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p5 @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_23) ).
thf(44,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f6 @ A @ B ) @ ( f6 @ C @ D ) )
| ~ ( p2 @ B @ D )
| ~ ( p5 @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ( p11 @ A @ B )
| ~ ( p12 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_10) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( p11 @ A @ B )
| ~ ( p12 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(25,negated_conjecture,
! [A: $i] :
( ( p11 @ ( f4 @ ( f6 @ c15 @ A ) ) @ c16 )
| ~ ( p12 @ A @ c14 )
| ~ ( p12 @ c13 @ A )
| ~ ( p2 @ ( f3 @ A ) @ ( f8 @ ( f9 @ c17 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_25) ).
thf(50,plain,
! [A: $i] :
( ( p11 @ ( f4 @ ( f6 @ c15 @ A ) ) @ c16 )
| ~ ( p12 @ A @ c14 )
| ~ ( p12 @ c13 @ A )
| ~ ( p2 @ ( f3 @ A ) @ ( f8 @ ( f9 @ c17 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(6,negated_conjecture,
p2 @ ( f3 @ c18 ) @ ( f8 @ ( f9 @ c17 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
thf(31,plain,
p2 @ ( f3 @ c18 ) @ ( f8 @ ( f9 @ c17 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p5 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
thf(40,plain,
! [A: $i] : ( p5 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,negated_conjecture,
p2 @ c18 @ c14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
thf(26,plain,
p2 @ c18 @ c14,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(17,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_17) ).
thf(36,plain,
! [C: $i,B: $i,A: $i] :
( ( p7 @ A @ B )
| ~ ( p7 @ C @ A )
| ~ ( p7 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p7 @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_1) ).
thf(30,plain,
! [A: $i] : ( p7 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(68,plain,
$false,
inference(e,[status(thm)],[41,49,39,35,48,43,47,42,37,46,29,33,28,38,45,32,34,44,27,50,31,40,26,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN583-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.14 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 19:41:51 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.98/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.15/1.02 % [INFO] Parsing done (135ms).
% 1.15/1.03 % [INFO] Running in sequential loop mode.
% 1.77/1.23 % [INFO] eprover registered as external prover.
% 1.77/1.23 % [INFO] cvc4 registered as external prover.
% 1.77/1.23 % [INFO] Scanning for conjecture ...
% 1.81/1.31 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.01/1.36 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.01/1.36 % [INFO] Problem is propositional (TPTP CNF).
% 2.01/1.36 % [INFO] Type checking passed.
% 2.01/1.36 % [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 ...
% 3.00/1.72 % External prover 'e' found a proof!
% 3.00/1.72 % [INFO] Killing All external provers ...
% 3.00/1.72 % Time passed: 1205ms (effective reasoning time: 683ms)
% 3.00/1.72 % 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)>
% 3.00/1.72 % Axioms used in derivation (0):
% 3.00/1.72 % No. of inferences in proof: 51
% 3.00/1.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1205 ms resp. 683 ms w/o parsing
% 3.00/1.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.00/1.76 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------