TSTP Solution File: GRP759+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GRP759+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 11:15:20 EDT 2023
% Result : Unsatisfiable 4.52s 1.99s
% Output : Refutation 4.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 20
% Syntax : Number of formulae : 32 ( 21 unt; 9 typ; 0 def)
% Number of atoms : 29 ( 28 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 14 ~; 6 |; 0 &; 34 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(mult_type,type,
mult: $i > $i > $i ).
thf(i_type,type,
i: $i > $i ).
thf(e_type,type,
e: $i ).
thf(op_a_type,type,
op_a: $i ).
thf(op_b_type,type,
op_b: $i ).
thf(c1_type,type,
c1: $i ).
thf(c2_type,type,
c2: $i ).
thf(c3_type,type,
c3: $i ).
thf(c4_type,type,
c4: $i ).
thf(6,axiom,
c1 != c2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1_not_c2) ).
thf(27,plain,
c1 != c2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,axiom,
! [A: $i] :
( ( mult @ A @ ( i @ A ) )
= e ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
thf(12,plain,
! [A: $i] :
( ( mult @ A @ ( i @ A ) )
= e ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(10,axiom,
c2 != c4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_not_c4) ).
thf(39,plain,
c2 != c4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
( ( mult @ B @ ( mult @ A @ C ) )
= ( mult @ ( mult @ B @ A ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
thf(18,plain,
! [A: $i,B: $i,C: $i] :
( ( mult @ B @ ( mult @ A @ C ) )
= ( mult @ ( mult @ B @ A ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,axiom,
! [A: $i] :
( ( mult @ A @ e )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
thf(15,plain,
! [A: $i] :
( ( mult @ A @ e )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,axiom,
c3 != c4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3_not_c4) ).
thf(42,plain,
c3 != c4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,axiom,
! [A: $i] :
( ( A = c1 )
| ( A = c2 )
| ( A = c3 )
| ( A = c4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).
thf(24,plain,
! [A: $i] :
( ( A = c1 )
| ( A = c2 )
| ( A = c3 )
| ( A = c4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
( ( mult @ op_a @ op_b )
!= ( mult @ op_b @ op_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
thf(21,plain,
( ( mult @ op_a @ op_b )
!= ( mult @ op_b @ op_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
c1 != c4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1_not_c4) ).
thf(33,plain,
c1 != c4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
c2 != c3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_not_c3) ).
thf(36,plain,
c2 != c3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
c1 != c3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1_not_c3) ).
thf(30,plain,
c1 != c3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(190,plain,
$false,
inference(cvc4,[status(thm)],[27,12,39,18,15,42,24,21,33,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP759+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 19 02:18:51 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.94/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/0.95 % [INFO] Parsing done (110ms).
% 1.18/0.96 % [INFO] Running in sequential loop mode.
% 1.62/1.16 % [INFO] eprover registered as external prover.
% 1.62/1.17 % [INFO] cvc4 registered as external prover.
% 1.62/1.17 % [INFO] Scanning for conjecture ...
% 1.62/1.19 % [INFO] 11 axioms and no conjecture found.
% 1.81/1.23 % [INFO] Problem is first-order (TPTP FOF).
% 1.81/1.23 % [INFO] Type checking passed.
% 1.81/1.23 % [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 ...
% 2.14/1.40 % [INFO] [Domain constraints] Detected constraint on $i
% 2.14/1.40 % [INFO] [Domain constraints] dom($i) ⊆ {c1,c2,c3,c4}
% 4.52/1.98 % External prover 'cvc4' found a proof!
% 4.52/1.98 % [INFO] Killing All external provers ...
% 4.52/1.99 % Time passed: 1472ms (effective reasoning time: 1018ms)
% 4.52/1.99 % Axioms used in derivation (11): c2_not_c3, f02, a, c1_not_c3, c3_not_c4, c1_not_c4, c2_not_c4, f04, f01, c1_not_c2, f03
% 4.52/1.99 % No. of inferences in proof: 23
% 4.52/1.99 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1472 ms resp. 1018 ms w/o parsing
% 4.52/2.01 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.52/2.01 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------