TSTP Solution File: SYN613-1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN613-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 12:29:26 EDT 2023
% Result : Unsatisfiable 3.54s 1.86s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 55
% Syntax : Number of formulae : 87 ( 21 unt; 24 typ; 0 def)
% Number of atoms : 141 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 604 ( 78 ~; 78 |; 0 &; 448 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 24 usr; 8 con; 0-3 aty)
% Number of variables : 124 ( 0 ^; 124 !; 0 ?; 124 :)
% Comments :
%------------------------------------------------------------------------------
thf(p11_type,type,
p11: $i > $i > $o ).
thf(p6_type,type,
p6: $i > $i > $o ).
thf(p5_type,type,
p5: $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(c23_type,type,
c23: $i ).
thf(f12_type,type,
f12: $i > $i ).
thf(f9_type,type,
f9: $i > $i ).
thf(c21_type,type,
c21: $i ).
thf(c24_type,type,
c24: $i ).
thf(f13_type,type,
f13: $i > $i ).
thf(f15_type,type,
f15: $i > $i ).
thf(f4_type,type,
f4: $i > $i ).
thf(f10_type,type,
f10: $i > $i ).
thf(p17_type,type,
p17: $i > $i > $i > $o ).
thf(c19_type,type,
c19: $i ).
thf(f7_type,type,
f7: $i > $i > $i ).
thf(c20_type,type,
c20: $i ).
thf(f8_type,type,
f8: $i > $i > $i ).
thf(c22_type,type,
c22: $i ).
thf(p18_type,type,
p18: $i > $i > $o ).
thf(f14_type,type,
f14: $i > $i > $i ).
thf(c25_type,type,
c25: $i ).
thf(27,negated_conjecture,
! [A: $i] :
( ( p18 @ ( f13 @ ( f14 @ A @ c25 ) ) @ ( f13 @ ( f14 @ c23 @ c25 ) ) )
| ~ ( p11 @ A @ ( f12 @ ( f9 @ c21 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_27) ).
thf(56,plain,
! [A: $i] :
( ( p18 @ ( f13 @ ( f14 @ A @ c25 ) ) @ ( f13 @ ( f14 @ c23 @ c25 ) ) )
| ~ ( p11 @ A @ ( f12 @ ( f9 @ c21 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(29,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p17 @ A @ B @ C )
| ~ ( p3 @ D @ B )
| ~ ( p16 @ E @ A )
| ~ ( p11 @ F @ C )
| ~ ( p17 @ E @ D @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_29) ).
thf(52,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( p17 @ A @ B @ C )
| ~ ( p3 @ D @ B )
| ~ ( p16 @ E @ A )
| ~ ( p11 @ F @ C )
| ~ ( p17 @ E @ D @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(30,negated_conjecture,
! [A: $i] :
( ( p17 @ c19 @ ( f4 @ c20 ) @ c23 )
| ( p11 @ ( f15 @ A ) @ ( f12 @ ( f9 @ c21 ) ) )
| ~ ( p11 @ A @ ( f12 @ ( f9 @ c21 ) ) )
| ~ ( p17 @ c19 @ ( f4 @ c20 ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_30) ).
thf(61,plain,
! [A: $i] :
( ( p17 @ c19 @ ( f4 @ c20 ) @ c23 )
| ( p11 @ ( f15 @ A ) @ ( f12 @ ( f9 @ c21 ) ) )
| ~ ( p11 @ A @ ( f12 @ ( f9 @ c21 ) ) )
| ~ ( p17 @ c19 @ ( f4 @ c20 ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p18 @ A @ B )
| ~ ( p11 @ C @ B )
| ~ ( p18 @ D @ C )
| ~ ( p11 @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_23) ).
thf(60,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p18 @ A @ B )
| ~ ( p11 @ C @ B )
| ~ ( p18 @ D @ C )
| ~ ( p11 @ D @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(28,negated_conjecture,
! [A: $i] :
( ( p18 @ ( f13 @ ( f14 @ A @ c25 ) ) @ ( f13 @ ( f14 @ c24 @ c25 ) ) )
| ~ ( p11 @ A @ ( f12 @ ( f9 @ c21 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_28) ).
thf(53,plain,
! [A: $i] :
( ( p18 @ ( f13 @ ( f14 @ A @ c25 ) ) @ ( f13 @ ( f14 @ c24 @ c25 ) ) )
| ~ ( p11 @ A @ ( f12 @ ( f9 @ c21 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ( p11 @ ( f15 @ A ) @ ( f15 @ B ) )
| ~ ( p11 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_12) ).
thf(41,plain,
! [B: $i,A: $i] :
( ( p11 @ ( f15 @ A ) @ ( f15 @ B ) )
| ~ ( p11 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p6 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_2) ).
thf(39,plain,
! [A: $i] : ( p6 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(1,negated_conjecture,
! [A: $i] : ( p11 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).
thf(35,plain,
! [A: $i] : ( p11 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(15,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_15) ).
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)],[15]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p6 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p5 @ A @ C )
| ~ ( p5 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_25) ).
thf(50,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p6 @ ( f8 @ A @ B ) @ ( f8 @ C @ D ) )
| ~ ( p5 @ A @ C )
| ~ ( p5 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(3,negated_conjecture,
! [A: $i] : ( p5 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).
thf(43,plain,
! [A: $i] : ( p5 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(31,negated_conjecture,
! [A: $i] :
( ( p17 @ c19 @ ( f4 @ c20 ) @ c23 )
| ~ ( p11 @ A @ ( f12 @ ( f9 @ c21 ) ) )
| ~ ( p17 @ c19 @ ( f4 @ c20 ) @ A )
| ~ ( p18 @ ( f13 @ ( f14 @ ( f15 @ A ) @ c25 ) ) @ ( f13 @ ( f14 @ A @ c25 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_31) ).
thf(58,plain,
! [A: $i] :
( ( p17 @ c19 @ ( f4 @ c20 ) @ c23 )
| ~ ( p11 @ A @ ( f12 @ ( f9 @ c21 ) ) )
| ~ ( p17 @ c19 @ ( f4 @ c20 ) @ A )
| ~ ( p18 @ ( f13 @ ( f14 @ ( f15 @ A ) @ c25 ) ) @ ( f13 @ ( f14 @ A @ c25 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(7,negated_conjecture,
p11 @ c23 @ ( f12 @ ( f9 @ c21 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).
thf(42,plain,
p11 @ c23 @ ( f12 @ ( f9 @ c21 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,negated_conjecture,
! [B: $i,A: $i] :
( ( p5 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p5 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_9) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( p5 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p5 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,negated_conjecture,
p11 @ c24 @ ( f12 @ ( f9 @ c21 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_8) ).
thf(46,plain,
p11 @ c24 @ ( f12 @ ( f9 @ c21 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(16,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_16) ).
thf(57,plain,
! [C: $i,B: $i,A: $i] :
( ( p6 @ A @ B )
| ~ ( p6 @ C @ A )
| ~ ( p6 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_13) ).
thf(38,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ( p11 @ ( f12 @ A ) @ ( f12 @ B ) )
| ~ ( p5 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_10) ).
thf(33,plain,
! [B: $i,A: $i] :
( ( p11 @ ( f12 @ A ) @ ( f12 @ B ) )
| ~ ( p5 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ( p11 @ ( f13 @ A ) @ ( f13 @ B ) )
| ~ ( p11 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_11) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( p11 @ ( f13 @ A ) @ ( f13 @ B ) )
| ~ ( p11 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
thf(32,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ( p5 @ ( f10 @ A ) @ ( f10 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_14) ).
thf(34,plain,
! [B: $i,A: $i] :
( ( p5 @ ( f10 @ A ) @ ( f10 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(18,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_18) ).
thf(44,plain,
! [C: $i,B: $i,A: $i] :
( ( p3 @ A @ B )
| ~ ( p3 @ C @ A )
| ~ ( p3 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f7 @ A @ B ) @ ( f7 @ C @ D ) )
| ~ ( p5 @ A @ C )
| ~ ( p6 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
thf(59,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p2 @ ( f7 @ A @ B ) @ ( f7 @ C @ D ) )
| ~ ( p5 @ A @ C )
| ~ ( p6 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(21,negated_conjecture,
p17 @ c19 @ ( f4 @ ( f7 @ ( f10 @ c20 ) @ ( f8 @ ( f9 @ c21 ) @ c22 ) ) ) @ c24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_21) ).
thf(54,plain,
p17 @ c19 @ ( f4 @ ( f7 @ ( f10 @ c20 ) @ ( f8 @ ( f9 @ c21 ) @ c22 ) ) ) @ c24,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p11 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p11 @ A @ C )
| ~ ( p11 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_24) ).
thf(49,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p11 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p11 @ A @ C )
| ~ ( p11 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(17,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p5 @ A @ B )
| ~ ( p5 @ C @ A )
| ~ ( p5 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_17) ).
thf(40,plain,
! [C: $i,B: $i,A: $i] :
( ( p5 @ A @ B )
| ~ ( p5 @ C @ A )
| ~ ( p5 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(22,negated_conjecture,
~ ( p17 @ c19 @ ( f4 @ ( f7 @ ( f10 @ c20 ) @ ( f8 @ ( f9 @ c21 ) @ c22 ) ) ) @ c23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_22) ).
thf(55,plain,
~ ( p17 @ c19 @ ( f4 @ ( f7 @ ( f10 @ c20 ) @ ( f8 @ ( f9 @ c21 ) @ c22 ) ) ) @ c23 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(6,negated_conjecture,
! [A: $i] : ( p16 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_6) ).
thf(36,plain,
! [A: $i] : ( p16 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(20,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( p16 @ A @ B )
| ~ ( p16 @ C @ A )
| ~ ( p16 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_20) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ( p16 @ A @ B )
| ~ ( p16 @ C @ A )
| ~ ( p16 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(4,negated_conjecture,
! [A: $i] : ( p3 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
thf(47,plain,
! [A: $i] : ( p3 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(19,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_19) ).
thf(62,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(85,plain,
$false,
inference(e,[status(thm)],[56,52,61,60,53,41,39,35,48,50,43,58,42,37,46,57,38,33,45,32,34,44,59,54,49,40,55,36,51,47,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN613-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n018.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 19:58:59 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.97/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/1.00 % [INFO] Parsing done (137ms).
% 1.15/1.01 % [INFO] Running in sequential loop mode.
% 1.85/1.22 % [INFO] eprover registered as external prover.
% 1.85/1.22 % [INFO] cvc4 registered as external prover.
% 1.85/1.23 % [INFO] Scanning for conjecture ...
% 2.11/1.32 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.29/1.38 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.29/1.38 % [INFO] Problem is propositional (TPTP CNF).
% 2.29/1.39 % [INFO] Type checking passed.
% 2.29/1.39 % [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 ...
% 3.54/1.86 % External prover 'e' found a proof!
% 3.54/1.86 % [INFO] Killing All external provers ...
% 3.54/1.86 % Time passed: 1321ms (effective reasoning time: 846ms)
% 3.54/1.86 % 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)>
% 3.54/1.86 % Axioms used in derivation (0):
% 3.54/1.86 % No. of inferences in proof: 63
% 3.54/1.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1321 ms resp. 846 ms w/o parsing
% 3.54/1.90 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.54/1.90 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------