TSTP Solution File: LAT399-1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LAT399-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 11:28:16 EDT 2023
% Result : Unsatisfiable 79.28s 20.20s
% Output : Refutation 79.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 81 ( 51 unt; 8 typ; 0 def)
% Number of atoms : 98 ( 97 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 654 ( 39 ~; 25 |; 0 &; 590 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 168 ( 0 ^; 168 !; 0 ?; 168 :)
% Comments :
%------------------------------------------------------------------------------
thf(join_type,type,
join: $i > $i > $i ).
thf(upme_type,type,
upme: $i > $i > $i > $i ).
thf(meet_type,type,
meet: $i > $i > $i ).
thf(a_type,type,
a: $i ).
thf(z1_type,type,
z1: $i ).
thf(z2_type,type,
z2: $i ).
thf(z3_type,type,
z3: $i ).
thf(lome_type,type,
lome: $i > $i > $i > $i ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( meet @ A @ B )
= ( meet @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity) ).
thf(16,plain,
! [B: $i,A: $i] :
( ( meet @ A @ B )
= ( meet @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,plain,
! [B: $i,A: $i] :
( ( meet @ A @ B )
= ( meet @ B @ A ) ),
inference(lifteq,[status(thm)],[16]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( join @ A @ ( meet @ A @ B ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).
thf(24,plain,
! [B: $i,A: $i] :
( ( join @ A @ ( meet @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(25,plain,
! [B: $i,A: $i] :
( ( join @ A @ ( meet @ A @ B ) )
= A ),
inference(lifteq,[status(thm)],[24]) ).
thf(34,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( join @ C @ ( meet @ B @ A ) )
= C )
| ( ( meet @ A @ B )
!= ( meet @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[17,25]) ).
thf(35,plain,
! [B: $i,A: $i] :
( ( join @ A @ ( meet @ B @ A ) )
= A ),
inference(pattern_uni,[status(thm)],[34:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( join @ A @ B )
= ( join @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_001) ).
thf(20,plain,
! [B: $i,A: $i] :
( ( join @ A @ B )
= ( join @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(21,plain,
! [B: $i,A: $i] :
( ( join @ A @ B )
= ( join @ B @ A ) ),
inference(lifteq,[status(thm)],[20]) ).
thf(293,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( join @ D @ C ) )
| ( ( join @ A @ ( meet @ B @ A ) )
!= ( join @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[35,21]) ).
thf(294,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ B ) @ B )
= B ),
inference(pattern_uni,[status(thm)],[293:[bind(A,$thf( F )),bind(B,$thf( E )),bind(C,$thf( F )),bind(D,$thf( meet @ E @ F ))]]) ).
thf(329,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ B ) @ B )
= B ),
inference(simp,[status(thm)],[294]) ).
thf(2,negated_conjecture,
( ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 )
!= ( lome @ ( meet @ a @ z1 ) @ z2 @ z3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture_1) ).
thf(12,plain,
( ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 )
!= ( lome @ ( meet @ a @ z1 ) @ z2 @ z3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( meet @ A @ ( join @ A @ B ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption_003) ).
thf(26,plain,
! [B: $i,A: $i] :
( ( meet @ A @ ( join @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( meet @ A @ ( join @ A @ B ) )
= A ),
inference(lifteq,[status(thm)],[26]) ).
thf(46,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( join @ C @ A )
= C )
| ( ( meet @ A @ ( join @ A @ B ) )
!= ( meet @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[27,25]) ).
thf(47,plain,
! [A: $i] :
( ( join @ A @ A )
= A ),
inference(pattern_uni,[status(thm)],[46:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( join @ E @ F ))]]) ).
thf(66,plain,
! [A: $i] :
( ( join @ A @ A )
= A ),
inference(simp,[status(thm)],[47]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ( join @ ( upme @ ( meet @ a @ A ) @ B @ C ) @ ( meet @ B @ C ) )
= ( meet @ ( join @ ( meet @ ( meet @ a @ A ) @ B ) @ C ) @ ( join @ ( meet @ ( meet @ a @ A ) @ C ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] :
( ( join @ ( upme @ ( meet @ a @ A ) @ B @ C ) @ ( meet @ B @ C ) )
= ( meet @ ( join @ ( meet @ ( meet @ a @ A ) @ B ) @ C ) @ ( join @ ( meet @ ( meet @ a @ A ) @ C ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(38,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( join @ D @ C ) )
| ( ( join @ A @ ( meet @ A @ B ) )
!= ( join @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[25,21]) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ B ) @ A )
= A ),
inference(pattern_uni,[status(thm)],[38:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( meet @ E @ F ))]]) ).
thf(44,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ A @ B ) @ A )
= A ),
inference(simp,[status(thm)],[39]) ).
thf(377,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( join @ ( meet @ B @ A ) @ C )
= C )
| ( ( meet @ A @ B )
!= ( meet @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[17,44]) ).
thf(378,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ B @ A ) @ A )
= A ),
inference(pattern_uni,[status(thm)],[377:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(48,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( meet @ C @ A )
= C )
| ( ( join @ A @ ( meet @ A @ B ) )
!= ( join @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[25,27]) ).
thf(49,plain,
! [A: $i] :
( ( meet @ A @ A )
= A ),
inference(pattern_uni,[status(thm)],[48:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( meet @ E @ F ))]]) ).
thf(62,plain,
! [A: $i] :
( ( meet @ A @ A )
= A ),
inference(simp,[status(thm)],[49]) ).
thf(54,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( meet @ D @ C ) )
| ( ( meet @ A @ ( join @ A @ B ) )
!= ( meet @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[27,17]) ).
thf(55,plain,
! [B: $i,A: $i] :
( ( meet @ ( join @ A @ B ) @ A )
= A ),
inference(pattern_uni,[status(thm)],[54:[bind(A,$thf( E )),bind(B,$thf( F )),bind(C,$thf( E )),bind(D,$thf( join @ E @ F ))]]) ).
thf(63,plain,
! [B: $i,A: $i] :
( ( meet @ ( join @ A @ B ) @ A )
= A ),
inference(simp,[status(thm)],[55]) ).
thf(14,plain,
( ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 )
!= ( lome @ ( meet @ a @ z1 ) @ z2 @ z3 ) ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(15,plain,
( ( lome @ ( meet @ a @ z1 ) @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) ),
inference(lifteq,[status(thm)],[14]) ).
thf(607,plain,
! [B: $i,A: $i] :
( ( ( lome @ A @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( meet @ ( join @ A @ B ) @ A )
!= ( meet @ a @ z1 ) ) ),
inference(paramod_ordered,[status(thm)],[63,15]) ).
thf(620,plain,
! [B: $i,A: $i] :
( ( ( lome @ A @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( join @ A @ B )
!= a )
| ( A != z1 ) ),
inference(simp,[status(thm)],[607]) ).
thf(640,plain,
! [A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( join @ z1 @ A )
!= a ) ),
inference(simp,[status(thm)],[620]) ).
thf(645,plain,
! [C: $i,B: $i,A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( join @ B @ A )
!= a )
| ( ( join @ A @ B )
!= ( join @ z1 @ C ) ) ),
inference(paramod_ordered,[status(thm)],[21,640]) ).
thf(646,plain,
! [A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( join @ A @ z1 )
!= a ) ),
inference(pattern_uni,[status(thm)],[645:[bind(A,$thf( z1 )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(656,plain,
! [A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( upme @ ( meet @ a @ z1 ) @ z2 @ z3 ) )
| ( ( join @ A @ z1 )
!= a ) ),
inference(simp,[status(thm)],[646]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ( upme @ A @ B @ C )
= ( meet @ A @ ( join @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_upme) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ( upme @ A @ B @ C )
= ( meet @ A @ ( join @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(29,plain,
! [C: $i,B: $i,A: $i] :
( ( upme @ A @ B @ C )
= ( meet @ A @ ( join @ B @ C ) ) ),
inference(lifteq,[status(thm)],[28]) ).
thf(1135,plain,
! [A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( meet @ ( meet @ a @ z1 ) @ ( join @ z2 @ z3 ) ) )
| ( ( join @ A @ z1 )
!= a ) ),
inference(rewrite,[status(thm)],[656,29]) ).
thf(1141,plain,
! [C: $i,B: $i,A: $i] :
( ( ( lome @ z1 @ z2 @ z3 )
!= ( meet @ ( meet @ a @ z1 ) @ ( join @ z2 @ z3 ) ) )
| ( B != a )
| ( ( join @ ( meet @ A @ B ) @ B )
!= ( join @ C @ z1 ) ) ),
inference(paramod_ordered,[status(thm)],[329,1135]) ).
thf(1142,plain,
( ( ( lome @ z1 @ z2 @ z3 )
!= ( meet @ ( meet @ a @ z1 ) @ ( join @ z2 @ z3 ) ) )
| ( z1 != a ) ),
inference(pattern_uni,[status(thm)],[1141:[bind(A,$thf( D )),bind(B,$thf( z1 )),bind(C,$thf( meet @ D @ z1 ))]]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ( meet @ A @ ( meet @ B @ C ) )
= ( meet @ ( meet @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
thf(18,plain,
! [C: $i,B: $i,A: $i] :
( ( meet @ A @ ( meet @ B @ C ) )
= ( meet @ ( meet @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(19,plain,
! [C: $i,B: $i,A: $i] :
( ( meet @ ( meet @ A @ B ) @ C )
= ( meet @ A @ ( meet @ B @ C ) ) ),
inference(lifteq,[status(thm)],[18]) ).
thf(10,axiom,
! [C: $i,B: $i,A: $i] :
( ( lome @ A @ B @ C )
= ( join @ ( meet @ A @ B ) @ ( meet @ A @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_lome) ).
thf(30,plain,
! [C: $i,B: $i,A: $i] :
( ( lome @ A @ B @ C )
= ( join @ ( meet @ A @ B ) @ ( meet @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ( lome @ A @ B @ C )
= ( join @ ( meet @ A @ B ) @ ( meet @ A @ C ) ) ),
inference(lifteq,[status(thm)],[30]) ).
thf(1260,plain,
( ( ( join @ ( meet @ z1 @ z2 ) @ ( meet @ z1 @ z3 ) )
!= ( meet @ a @ ( meet @ z1 @ ( join @ z2 @ z3 ) ) ) )
| ( z1 != a ) ),
inference(rewrite,[status(thm)],[1142,19,31]) ).
thf(746,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( join @ ( meet @ B @ A ) @ D )
= D )
| ( ( meet @ A @ B )
!= ( meet @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[17,329]) ).
thf(747,plain,
! [B: $i,A: $i] :
( ( join @ ( meet @ B @ A ) @ B )
= B ),
inference(pattern_uni,[status(thm)],[746:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(50,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( meet @ C @ ( join @ B @ A ) )
= C )
| ( ( join @ A @ B )
!= ( join @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[21,27]) ).
thf(51,plain,
! [B: $i,A: $i] :
( ( meet @ A @ ( join @ B @ A ) )
= A ),
inference(pattern_uni,[status(thm)],[50:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(516,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( meet @ D @ C ) )
| ( ( meet @ A @ ( join @ B @ A ) )
!= ( meet @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[51,17]) ).
thf(517,plain,
! [B: $i,A: $i] :
( ( meet @ ( join @ A @ B ) @ B )
= B ),
inference(pattern_uni,[status(thm)],[516:[bind(A,$thf( F )),bind(B,$thf( E )),bind(C,$thf( F )),bind(D,$thf( join @ E @ F ))]]) ).
thf(554,plain,
! [B: $i,A: $i] :
( ( meet @ ( join @ A @ B ) @ B )
= B ),
inference(simp,[status(thm)],[517]) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ( join @ ( upme @ ( meet @ a @ A ) @ B @ C ) @ ( meet @ B @ C ) )
= ( meet @ ( join @ ( meet @ ( meet @ a @ A ) @ B ) @ C ) @ ( join @ ( meet @ ( meet @ a @ A ) @ C ) @ B ) ) ),
inference(lifteq,[status(thm)],[11]) ).
thf(132,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( join @ ( upme @ ( meet @ a @ C ) @ D @ E ) @ ( meet @ B @ A ) )
= ( meet @ ( join @ ( meet @ ( meet @ a @ C ) @ D ) @ E ) @ ( join @ ( meet @ ( meet @ a @ C ) @ E ) @ D ) ) )
| ( ( meet @ A @ B )
!= ( meet @ D @ E ) ) ),
inference(paramod_ordered,[status(thm)],[17,13]) ).
thf(133,plain,
! [C: $i,B: $i,A: $i] :
( ( join @ ( upme @ ( meet @ a @ C ) @ A @ B ) @ ( meet @ B @ A ) )
= ( meet @ ( join @ ( meet @ ( meet @ a @ C ) @ A ) @ B ) @ ( join @ ( meet @ ( meet @ a @ C ) @ B ) @ A ) ) ),
inference(pattern_uni,[status(thm)],[132:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( A )),bind(E,$thf( B ))]]) ).
thf(1424,plain,
! [C: $i,B: $i,A: $i] :
( ( join @ ( meet @ ( meet @ a @ C ) @ ( join @ A @ B ) ) @ ( meet @ B @ A ) )
= ( meet @ ( join @ ( meet @ a @ ( meet @ C @ A ) ) @ B ) @ ( join @ ( meet @ a @ ( meet @ C @ B ) ) @ A ) ) ),
inference(rewrite,[status(thm)],[133,19,29]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ( join @ A @ ( join @ B @ C ) )
= ( join @ ( join @ A @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_002) ).
thf(22,plain,
! [C: $i,B: $i,A: $i] :
( ( join @ A @ ( join @ B @ C ) )
= ( join @ ( join @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(576,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( meet @ ( join @ B @ A ) @ C )
= C )
| ( ( join @ A @ B )
!= ( join @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[21,63]) ).
thf(577,plain,
! [B: $i,A: $i] :
( ( meet @ ( join @ B @ A ) @ A )
= A ),
inference(pattern_uni,[status(thm)],[576:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( B ))]]) ).
thf(23,plain,
! [C: $i,B: $i,A: $i] :
( ( join @ ( join @ A @ B ) @ C )
= ( join @ A @ ( join @ B @ C ) ) ),
inference(lifteq,[status(thm)],[22]) ).
thf(42062,plain,
$false,
inference(cvc4,[status(thm)],[329,17,12,66,35,11,378,62,1260,747,24,25,20,29,28,21,554,1424,22,44,577,27,63,18,16,31,26,23,30,51,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : LAT399-1 : TPTP v8.1.2. Released v8.1.0.
% 0.10/0.10 % Command : run_Leo-III %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Thu May 18 14:28:05 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.70/0.74 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.80/0.87 % [INFO] Parsing done (121ms).
% 1.03/0.87 % [INFO] Running in sequential loop mode.
% 1.33/1.11 % [INFO] eprover registered as external prover.
% 1.33/1.11 % [INFO] cvc4 registered as external prover.
% 1.33/1.11 % [INFO] Scanning for conjecture ...
% 1.33/1.17 % [INFO] Found a conjecture and 8 axioms. Running axiom selection ...
% 1.59/1.20 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 1.59/1.20 % [INFO] Problem is propositional (TPTP CNF).
% 1.59/1.21 % [INFO] Type checking passed.
% 1.66/1.21 % [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 ...
% 79.28/20.19 % External prover 'cvc4' found a proof!
% 79.28/20.19 % [INFO] Killing All external provers ...
% 79.28/20.20 % Time passed: 19781ms (effective reasoning time: 19317ms)
% 79.28/20.20 % 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)>
% 79.28/20.20 % Axioms used in derivation (8): associativity, absorption, definition_of_lome, commutativity, associativity_002, absorption_003, definition_of_upme, commutativity_001
% 79.28/20.20 % No. of inferences in proof: 73
% 79.28/20.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 19781 ms resp. 19317 ms w/o parsing
% 79.28/20.23 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 79.28/20.23 % [INFO] Killing All external provers ...
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