TSTP Solution File: SYN608-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN608-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 12:29:25 EDT 2023
% Result : Unsatisfiable 3.40s 1.79s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 51
% Syntax : Number of formulae : 82 ( 25 unt; 21 typ; 0 def)
% Number of atoms : 125 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 582 ( 68 ~; 64 |; 0 &; 450 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 21 usr; 5 con; 0-2 aty)
% Number of variables : 108 ( 0 ^; 108 !; 0 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
thf(p16_type,type,
p16: $i > $o ).
thf(c21_type,type,
c21: $i ).
thf(p2_type,type,
p2: $i > $i > $o ).
thf(p5_type,type,
p5: $i > $i > $o ).
thf(p3_type,type,
p3: $i > $i > $o ).
thf(f7_type,type,
f7: $i > $i ).
thf(c20_type,type,
c20: $i ).
thf(f12_type,type,
f12: $i > $i > $i ).
thf(c22_type,type,
c22: $i ).
thf(f15_type,type,
f15: $i > $i ).
thf(c19_type,type,
c19: $i ).
thf(f4_type,type,
f4: $i > $i ).
thf(f6_type,type,
f6: $i > $i ).
thf(f8_type,type,
f8: $i > $i ).
thf(f9_type,type,
f9: $i > $i ).
thf(f13_type,type,
f13: $i > $i ).
thf(p17_type,type,
p17: $i > $i > $o ).
thf(p18_type,type,
p18: $i > $i > $o ).
thf(f14_type,type,
f14: $i > $i > $i ).
thf(f10_type,type,
f10: $i > $i > $i ).
thf(f11_type,type,
f11: $i > $i > $i ).
thf(27,negated_conjecture,
p17 @ ( f9 @ ( f10 @ ( f14 @ ( f4 @ ( f9 @ c19 ) ) @ c19 ) @ ( f15 @ c22 ) ) ) @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_27) ).
thf(56,plain,
p17 @ ( f9 @ ( f10 @ ( f14 @ ( f4 @ ( f9 @ c19 ) ) @ c19 ) @ ( f15 @ c22 ) ) ) @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(29,negated_conjecture,
! [A: $i] :
~ ( p17 @ ( f9 @ ( f10 @ ( f14 @ ( f4 @ ( f9 @ c19 ) ) @ c19 ) @ ( f12 @ A @ c21 ) ) ) @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_29) ).
thf(52,plain,
! [A: $i] :
~ ( p17 @ ( f9 @ ( f10 @ ( f14 @ ( f4 @ ( f9 @ c19 ) ) @ c19 ) @ ( f12 @ A @ c21 ) ) ) @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
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(60,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(28,negated_conjecture,
p3 @ ( f12 @ ( f15 @ ( f4 @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) ) ) @ c21 ) @ ( f15 @ ( f4 @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_28) ).
thf(53,plain,
p3 @ ( f12 @ ( f15 @ ( f4 @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) ) ) @ c21 ) @ ( f15 @ ( f4 @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(7,negated_conjecture,
p3 @ ( f12 @ ( f15 @ c22 ) @ c21 ) @ c22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
thf(41,plain,
p3 @ ( f12 @ ( f15 @ c22 ) @ c21 ) @ c22,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(17,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_17) ).
thf(39,plain,
! [C: $i,B: $i,A: $i] :
( ( p2 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(6,negated_conjecture,
p3 @ ( f12 @ c22 @ c21 ) @ ( f15 @ c22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
thf(35,plain,
p3 @ ( f12 @ c22 @ c21 ) @ ( f15 @ c22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_15) ).
thf(48,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f4 @ A ) @ ( f4 @ B ) )
| ~ ( p2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(18,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_18) ).
thf(43,plain,
! [C: $i,B: $i,A: $i] :
( ( p5 @ A @ B )
| ~ ( p5 @ C @ A )
| ~ ( p5 @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p3 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_23) ).
thf(58,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f14 @ A @ B ) @ ( f14 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p3 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
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(3,negated_conjecture,
! [A: $i] : ( p5 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).
thf(42,plain,
! [A: $i] : ( p5 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f13 @ A ) @ ( f13 @ B ) )
| ~ ( p5 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_13) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f13 @ A ) @ ( f13 @ B ) )
| ~ ( p5 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,negated_conjecture,
~ ( p3 @ c19 @ ( f4 @ ( f6 @ ( f7 @ c20 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_8) ).
thf(46,plain,
~ ( p3 @ c19 @ ( f4 @ ( f6 @ ( f7 @ c20 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f12 @ A @ B ) @ ( f12 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p5 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_26) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f12 @ A @ B ) @ ( f12 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p5 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(2,negated_conjecture,
! [A: $i] : ( p2 @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
thf(38,plain,
! [A: $i] : ( p2 @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ( p3 @ ( f15 @ A ) @ ( f15 @ B ) )
| ~ ( p3 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).
thf(33,plain,
! [B: $i,A: $i] :
( ( p3 @ ( f15 @ A ) @ ( f15 @ B ) )
| ~ ( p3 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f6 @ A ) @ ( f6 @ B ) )
| ~ ( p5 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f6 @ A ) @ ( f6 @ B ) )
| ~ ( p5 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ( p5 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p5 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_10) ).
thf(32,plain,
! [B: $i,A: $i] :
( ( p5 @ ( f8 @ A ) @ ( f8 @ B ) )
| ~ ( p5 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,negated_conjecture,
~ ( p16 @ c21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_not_p16_1) ).
thf(34,plain,
~ ( p16 @ c21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(16,negated_conjecture,
! [B: $i,A: $i] :
( ( p5 @ ( f7 @ A ) @ ( f7 @ B ) )
| ~ ( p5 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_16) ).
thf(44,plain,
! [B: $i,A: $i] :
( ( p5 @ ( f7 @ A ) @ ( f7 @ B ) )
| ~ ( p5 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(30,negated_conjecture,
! [A: $i] :
( ( p5 @ A @ ( f7 @ c20 ) )
| ( p3 @ c19 @ ( f4 @ ( f6 @ ( f7 @ c20 ) ) ) )
| ( p17 @ ( f9 @ ( f10 @ ( f4 @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) ) @ ( f11 @ c19 @ ( f12 @ ( f13 @ A ) @ A ) ) ) ) @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) )
| ~ ( p18 @ A @ c21 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_30) ).
thf(59,plain,
! [A: $i] :
( ( p5 @ A @ ( f7 @ c20 ) )
| ( p3 @ c19 @ ( f4 @ ( f6 @ ( f7 @ c20 ) ) ) )
| ( p17 @ ( f9 @ ( f10 @ ( f4 @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) ) @ ( f11 @ c19 @ ( f12 @ ( f13 @ A ) @ A ) ) ) ) @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) )
| ~ ( p18 @ A @ c21 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(21,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p18 @ A @ B )
| ~ ( p5 @ C @ A )
| ~ ( p5 @ D @ B )
| ~ ( p18 @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_21) ).
thf(54,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p18 @ A @ B )
| ~ ( p5 @ C @ A )
| ~ ( p5 @ D @ B )
| ~ ( p18 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f10 @ A @ B ) @ ( f10 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p3 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_24) ).
thf(49,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f10 @ A @ B ) @ ( f10 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p3 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p3 @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_25) ).
thf(50,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p3 @ ( f11 @ A @ B ) @ ( f11 @ C @ D ) )
| ~ ( p3 @ A @ C )
| ~ ( p3 @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(5,negated_conjecture,
~ ( p5 @ c21 @ ( f7 @ c20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p5_5) ).
thf(31,plain,
~ ( p5 @ c21 @ ( f7 @ c20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ( p2 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p3 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
thf(40,plain,
! [B: $i,A: $i] :
( ( p2 @ ( f9 @ A ) @ ( f9 @ B ) )
| ~ ( p3 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(22,negated_conjecture,
p3 @ ( f12 @ ( f4 @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) ) @ c21 ) @ ( f4 @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_22) ).
thf(55,plain,
p3 @ ( f12 @ ( f4 @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) ) @ c21 ) @ ( f4 @ ( f6 @ ( f7 @ ( f8 @ c20 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(9,negated_conjecture,
! [B: $i,A: $i] :
( ( p16 @ A )
| ~ ( p16 @ B )
| ~ ( p5 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_9) ).
thf(36,plain,
! [B: $i,A: $i] :
( ( p16 @ A )
| ~ ( p16 @ B )
| ~ ( p5 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(20,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p17 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p17 @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_20) ).
thf(51,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( p17 @ A @ B )
| ~ ( p2 @ C @ A )
| ~ ( p2 @ D @ B )
| ~ ( p17 @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(83,plain,
$false,
inference(e,[status(thm)],[56,52,60,53,41,39,35,48,43,58,47,42,37,46,57,38,33,45,32,34,44,59,54,49,50,31,40,55,36,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN608-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.16/0.35 % Computer : n019.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu May 18 19:48:28 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.83/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.11/1.00 % [INFO] Parsing done (141ms).
% 1.36/1.01 % [INFO] Running in sequential loop mode.
% 1.70/1.21 % [INFO] eprover registered as external prover.
% 1.78/1.21 % [INFO] cvc4 registered as external prover.
% 1.78/1.21 % [INFO] Scanning for conjecture ...
% 1.82/1.31 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.05/1.36 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.05/1.36 % [INFO] Problem is propositional (TPTP CNF).
% 2.05/1.36 % [INFO] Type checking passed.
% 2.05/1.36 % [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 ...
% 3.10/1.79 % External prover 'e' found a proof!
% 3.10/1.79 % [INFO] Killing All external provers ...
% 3.10/1.79 % Time passed: 1280ms (effective reasoning time: 774ms)
% 3.10/1.79 % 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)>
% 3.40/1.79 % Axioms used in derivation (0):
% 3.40/1.79 % No. of inferences in proof: 61
% 3.40/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1280 ms resp. 774 ms w/o parsing
% 3.49/1.83 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.49/1.83 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------