TSTP Solution File: GRP007-1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : GRP007-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 : Mon May 20 21:02:55 EDT 2024
% Result : Unsatisfiable 5.64s 2.18s
% Output : Refutation 5.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 10 unt; 3 typ; 0 def)
% Number of atoms : 35 ( 15 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 87 ( 17 ~; 13 |; 0 &; 57 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-3 aty)
% Number of variables : 32 ( 0 ^ 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(identity_type,type,
identity: $i ).
thf(c_type,type,
c: $i ).
thf(product_type,type,
product: $i > $i > $i > $o ).
thf(10,axiom,
! [A: $i] : ( product @ c @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_left_identity) ).
thf(27,plain,
! [A: $i] : ( product @ c @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
! [A: $i] : ( product @ A @ identity @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
thf(16,plain,
! [A: $i] : ( product @ A @ identity @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ B @ D )
| ( C = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
thf(20,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ B @ D )
| ( C = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(21,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ B @ D )
| ( C = D ) ),
inference(cnf,[status(esa)],[20]) ).
thf(22,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C = D )
| ~ ( product @ A @ B @ C )
| ~ ( product @ A @ B @ D ) ),
inference(lifteq,[status(thm)],[21]) ).
thf(328,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D = E )
| ~ ( product @ B @ C @ E )
| ( ( product @ A @ identity @ A )
!= ( product @ B @ C @ D ) ) ),
inference(paramod_ordered,[status(thm)],[16,22]) ).
thf(329,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( product @ A @ identity @ B ) ),
inference(pattern_uni,[status(thm)],[328:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( identity )),bind(D,$thf( A ))]]) ).
thf(366,plain,
! [B: $i,A: $i] :
( ( A = B )
| ~ ( product @ A @ identity @ B ) ),
inference(simp,[status(thm)],[329]) ).
thf(463,plain,
! [C: $i,B: $i,A: $i] :
( ( B = C )
| ( ( product @ c @ A @ A )
!= ( product @ B @ identity @ C ) ) ),
inference(paramod_ordered,[status(thm)],[27,366]) ).
thf(464,plain,
c = identity,
inference(pattern_uni,[status(thm)],[463:[bind(A,$thf( identity )),bind(B,$thf( c )),bind(C,$thf( identity ))]]) ).
thf(1,negated_conjecture,
identity != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_equals_c) ).
thf(12,plain,
identity != c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(13,plain,
identity != c,
inference(polarity_switch,[status(thm)],[12]) ).
thf(14,plain,
c != identity,
inference(lifteq,[status(thm)],[13]) ).
thf(496,plain,
$false,
inference(simplifyReflect,[status(thm)],[464,14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP007-1 : TPTP v8.2.0. Released v1.0.0.
% 0.14/0.14 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n014.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 : Sun May 19 05:16:09 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.97/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.95 % [INFO] Parsing done (99ms).
% 1.23/0.96 % [INFO] Running in sequential loop mode.
% 1.51/1.16 % [INFO] nitpick registered as external prover.
% 1.51/1.16 % [INFO] Scanning for conjecture ...
% 1.75/1.20 % [INFO] Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ...
% 1.75/1.22 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 1.86/1.23 % [INFO] Problem is propositional (TPTP CNF).
% 1.87/1.24 % [INFO] Type checking passed.
% 1.87/1.24 % [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 ...
% 5.64/2.17 % [INFO] Killing All external provers ...
% 5.64/2.18 % Time passed: 1651ms (effective reasoning time: 1211ms)
% 5.64/2.18 % Axioms used in derivation (3): another_left_identity, right_identity, total_function2
% 5.64/2.18 % No. of inferences in proof: 18
% 5.64/2.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1651 ms resp. 1211 ms w/o parsing
% 5.66/2.20 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.66/2.20 % [INFO] Killing All external provers ...
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