TSTP Solution File: SYN563-10 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN563-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.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 12:29:18 EDT 2023
% Result : Unsatisfiable 4.89s 2.26s
% Output : Refutation 4.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 32
% Syntax : Number of formulae : 53 ( 41 unt; 12 typ; 0 def)
% Number of atoms : 41 ( 40 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 352 ( 2 ~; 0 |; 0 &; 350 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 74 ( 0 ^; 74 !; 0 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
thf(p2_type,type,
p2: $i > $i > $i ).
thf(true_type,type,
true: $i ).
thf(p6_type,type,
p6: $i > $i > $i ).
thf(f4_type,type,
f4: $i > $i ).
thf(c7_type,type,
c7: $i ).
thf(c8_type,type,
c8: $i ).
thf(ifeq2_type,type,
ifeq2: $i > $i > $i > $i > $i ).
thf(p5_type,type,
p5: $i > $i > $i ).
thf(f3_type,type,
f3: $i > $i ).
thf(ifeq_type,type,
ifeq: $i > $i > $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(17,negated_conjecture,
( ( ifeq @ ( p6 @ ( f4 @ c7 ) @ ( f3 @ ( f4 @ c8 ) ) ) @ true @ a @ b )
= b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_5) ).
thf(29,plain,
( ( ifeq @ ( p6 @ ( f4 @ c7 ) @ ( f3 @ ( f4 @ c8 ) ) ) @ true @ a @ b )
= b ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(20,axiom,
! [C: $i,B: $i,A: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
thf(60,plain,
! [C: $i,B: $i,A: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(11,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( ifeq2 @ ( p2 @ A @ B ) @ true @ ( ifeq2 @ ( p2 @ A @ C ) @ true @ ( p2 @ C @ B ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
thf(35,plain,
! [C: $i,B: $i,A: $i] :
( ( ifeq2 @ ( p2 @ A @ B ) @ true @ ( ifeq2 @ ( p2 @ A @ C ) @ true @ ( p2 @ C @ B ) @ true ) @ true )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(7,negated_conjecture,
! [A: $i] :
( ( ifeq2 @ ( p6 @ c7 @ A ) @ true @ ( p6 @ c7 @ ( f3 @ A ) ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_9) ).
thf(31,plain,
! [A: $i] :
( ( ifeq2 @ ( p6 @ c7 @ A ) @ true @ ( p6 @ c7 @ ( f3 @ A ) ) @ true )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(19,axiom,
! [C: $i,B: $i,A: $i] :
( ( ifeq2 @ A @ A @ B @ C )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
thf(58,plain,
! [C: $i,B: $i,A: $i] :
( ( ifeq2 @ A @ A @ B @ C )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ( p2 @ A @ A )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
thf(24,plain,
! [A: $i] :
( ( p2 @ A @ A )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,negated_conjecture,
! [B: $i,A: $i] :
( ( ifeq2 @ ( p5 @ A @ B ) @ true @ ( p6 @ A @ B ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_6) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( ifeq2 @ ( p5 @ A @ B ) @ true @ ( p6 @ A @ B ) @ true )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,negated_conjecture,
! [B: $i,A: $i] :
( ( ifeq2 @ ( p6 @ ( f4 @ A ) @ B ) @ true @ ( p5 @ A @ B ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_8) ).
thf(25,plain,
! [B: $i,A: $i] :
( ( ifeq2 @ ( p6 @ ( f4 @ A ) @ B ) @ true @ ( p5 @ A @ B ) @ true )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,negated_conjecture,
! [A: $i] :
( ( p5 @ ( f3 @ ( f3 @ A ) ) @ ( f3 @ ( f4 @ A ) ) )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_7) ).
thf(21,plain,
! [A: $i] :
( ( p5 @ ( f3 @ ( f3 @ A ) ) @ ( f3 @ ( f4 @ A ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(18,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(33,plain,
a != b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( p6 @ A @ A )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_2) ).
thf(28,plain,
! [A: $i] :
( ( p6 @ A @ A )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ifeq2 @ ( p2 @ A @ B ) @ true @ ( ifeq2 @ ( p2 @ C @ D ) @ true @ ( ifeq2 @ ( p5 @ A @ C ) @ true @ ( p5 @ B @ D ) @ true ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_17) ).
thf(38,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ifeq2 @ ( p2 @ A @ B ) @ true @ ( ifeq2 @ ( p2 @ C @ D ) @ true @ ( ifeq2 @ ( p5 @ A @ C ) @ true @ ( p5 @ B @ D ) @ true ) @ true ) @ true )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(3,negated_conjecture,
( ( p2 @ ( f4 @ c7 ) @ ( f4 @ c8 ) )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
thf(32,plain,
( ( p2 @ ( f4 @ c7 ) @ ( f4 @ c8 ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(16,negated_conjecture,
( ( ifeq @ ( p6 @ ( f4 @ c7 ) @ c8 ) @ true @ a @ b )
= b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_3) ).
thf(34,plain,
( ( ifeq @ ( p6 @ ( f4 @ c7 ) @ c8 ) @ true @ a @ b )
= b ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ( ifeq2 @ ( p2 @ A @ B ) @ true @ ( p2 @ ( f4 @ A ) @ ( f4 @ B ) ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
thf(22,plain,
! [B: $i,A: $i] :
( ( ifeq2 @ ( p2 @ A @ B ) @ true @ ( p2 @ ( f4 @ A ) @ ( f4 @ B ) ) @ true )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(13,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( ifeq2 @ ( p6 @ A @ B ) @ true @ ( ifeq2 @ ( p5 @ B @ C ) @ true @ ( p5 @ A @ C ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_15) ).
thf(27,plain,
! [C: $i,B: $i,A: $i] :
( ( ifeq2 @ ( p6 @ A @ B ) @ true @ ( ifeq2 @ ( p5 @ B @ C ) @ true @ ( p5 @ A @ C ) @ true ) @ true )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(9,negated_conjecture,
! [B: $i,A: $i] :
( ( ifeq2 @ ( p2 @ A @ B ) @ true @ ( p2 @ ( f3 @ A ) @ ( f3 @ B ) ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
thf(26,plain,
! [B: $i,A: $i] :
( ( ifeq2 @ ( p2 @ A @ B ) @ true @ ( p2 @ ( f3 @ A ) @ ( f3 @ B ) ) @ true )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ifeq2 @ ( p2 @ A @ B ) @ true @ ( ifeq2 @ ( p2 @ C @ D ) @ true @ ( ifeq2 @ ( p6 @ C @ A ) @ true @ ( p6 @ D @ B ) @ true ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_16) ).
thf(23,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ifeq2 @ ( p2 @ A @ B ) @ true @ ( ifeq2 @ ( p2 @ C @ D ) @ true @ ( ifeq2 @ ( p6 @ C @ A ) @ true @ ( p6 @ D @ B ) @ true ) @ true ) @ true )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(8,negated_conjecture,
! [B: $i,A: $i] :
( ( ifeq2 @ ( p5 @ A @ B ) @ true @ ( p6 @ ( f4 @ A ) @ B ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_10) ).
thf(36,plain,
! [B: $i,A: $i] :
( ( ifeq2 @ ( p5 @ A @ B ) @ true @ ( p6 @ ( f4 @ A ) @ B ) @ true )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( ifeq2 @ ( p6 @ A @ B ) @ true @ ( ifeq2 @ ( p6 @ C @ A ) @ true @ ( p6 @ C @ B ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_14) ).
thf(30,plain,
! [C: $i,B: $i,A: $i] :
( ( ifeq2 @ ( p6 @ A @ B ) @ true @ ( ifeq2 @ ( p6 @ C @ A ) @ true @ ( p6 @ C @ B ) @ true ) @ true )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(149,plain,
$false,
inference(e,[status(thm)],[29,60,35,31,58,24,37,25,21,33,28,38,32,34,22,27,26,23,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN563-10 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.14 % Command : run_Leo-III %s %d
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 18 19:42:14 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.84/0.82 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.94 % [INFO] Parsing done (117ms).
% 1.23/0.95 % [INFO] Running in sequential loop mode.
% 1.51/1.13 % [INFO] eprover registered as external prover.
% 1.51/1.14 % [INFO] cvc4 registered as external prover.
% 1.51/1.14 % [INFO] Scanning for conjecture ...
% 1.74/1.22 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.97/1.26 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.97/1.26 % [INFO] Problem is propositional (TPTP CNF).
% 1.97/1.27 % [INFO] Type checking passed.
% 1.97/1.27 % [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 ...
% 4.89/2.26 % External prover 'e' found a proof!
% 4.89/2.26 % [INFO] Killing All external provers ...
% 4.89/2.26 % Time passed: 1764ms (effective reasoning time: 1310ms)
% 4.89/2.26 % 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)>
% 4.89/2.26 % Axioms used in derivation (2): ifeq_axiom_001, ifeq_axiom
% 4.89/2.26 % No. of inferences in proof: 41
% 4.89/2.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1764 ms resp. 1310 ms w/o parsing
% 4.89/2.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.89/2.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------