TSTP Solution File: GRP012-4 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP012-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.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 Sep 16 22:25:26 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 38
% Syntax : Number of formulae : 111 ( 79 unt; 5 typ; 0 def)
% Number of atoms : 143 ( 137 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 52 ( 20 ~; 16 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of FOOLs : 5 ( 5 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 91 ( 84 !; 0 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
tff(multiply_type,type,
multiply: ( $i * $i ) > $i ).
tff(inverse_type,type,
inverse: $i > $i ).
tff(a_type,type,
a: $i ).
tff(b_type,type,
b: $i ).
tff(identity_type,type,
identity: $i ).
tff(1,plain,
^ [X: $i] :
refl(
( ( multiply(inverse(X),X) = identity )
<=> ( multiply(inverse(X),X) = identity ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i] : ( multiply(inverse(X),X) = identity )
<=> ! [X: $i] : ( multiply(inverse(X),X) = identity ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [X: $i] : ( multiply(inverse(X),X) = identity )
<=> ! [X: $i] : ( multiply(inverse(X),X) = identity ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,axiom,
! [X: $i] : ( multiply(inverse(X),X) = identity ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
tff(5,plain,
! [X: $i] : ( multiply(inverse(X),X) = identity ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [X: $i] : ( multiply(inverse(X),X) = identity ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [X: $i] : ( multiply(inverse(X),X) = identity ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [X: $i] : ( multiply(inverse(X),X) = identity )
| ( multiply(inverse(a),a) = identity ) ),
inference(quant_inst,[status(thm)],]) ).
tff(9,plain,
multiply(inverse(a),a) = identity,
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
^ [X: $i] :
refl(
( ( multiply(identity,X) = X )
<=> ( multiply(identity,X) = X ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [X: $i] : ( multiply(identity,X) = X )
<=> ! [X: $i] : ( multiply(identity,X) = X ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [X: $i] : ( multiply(identity,X) = X )
<=> ! [X: $i] : ( multiply(identity,X) = X ) ),
inference(rewrite,[status(thm)],]) ).
tff(13,axiom,
! [X: $i] : ( multiply(identity,X) = X ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
tff(14,plain,
! [X: $i] : ( multiply(identity,X) = X ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
! [X: $i] : ( multiply(identity,X) = X ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [X: $i] : ( multiply(identity,X) = X ),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
( ~ ! [X: $i] : ( multiply(identity,X) = X )
| ( multiply(identity,a) = a ) ),
inference(quant_inst,[status(thm)],]) ).
tff(18,plain,
multiply(identity,a) = a,
inference(unit_resolution,[status(thm)],[17,16]) ).
tff(19,plain,
identity = multiply(inverse(a),a),
inference(symmetry,[status(thm)],[9]) ).
tff(20,plain,
multiply(identity,a) = multiply(multiply(inverse(a),a),a),
inference(monotonicity,[status(thm)],[19]) ).
tff(21,plain,
multiply(multiply(inverse(a),a),a) = multiply(identity,a),
inference(symmetry,[status(thm)],[20]) ).
tff(22,plain,
^ [Z: $i,Y: $i,X: $i] :
refl(
( ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )
<=> ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ) )),
inference(bind,[status(th)],]) ).
tff(23,plain,
( ! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )
<=> ! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ) ),
inference(quant_intro,[status(thm)],[22]) ).
tff(24,plain,
( ! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )
<=> ! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(25,axiom,
! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
tff(26,plain,
! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
inference(skolemize,[status(sab)],[26]) ).
tff(28,plain,
! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
inference(modus_ponens,[status(thm)],[27,23]) ).
tff(29,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )
| ( multiply(multiply(inverse(a),a),a) = multiply(inverse(a),multiply(a,a)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(30,plain,
multiply(multiply(inverse(a),a),a) = multiply(inverse(a),multiply(a,a)),
inference(unit_resolution,[status(thm)],[29,28]) ).
tff(31,plain,
multiply(inverse(a),multiply(a,a)) = multiply(multiply(inverse(a),a),a),
inference(symmetry,[status(thm)],[30]) ).
tff(32,plain,
multiply(inverse(a),multiply(a,a)) = a,
inference(transitivity,[status(thm)],[31,21,18]) ).
tff(33,plain,
multiply(inverse(a),multiply(inverse(a),multiply(a,a))) = multiply(inverse(a),a),
inference(monotonicity,[status(thm)],[32]) ).
tff(34,plain,
multiply(inverse(a),multiply(inverse(a),multiply(a,a))) = identity,
inference(transitivity,[status(thm)],[33,9]) ).
tff(35,plain,
multiply(multiply(inverse(a),multiply(inverse(a),multiply(a,a))),multiply(b,multiply(inverse(multiply(a,b)),identity))) = multiply(identity,multiply(b,multiply(inverse(multiply(a,b)),identity))),
inference(monotonicity,[status(thm)],[34]) ).
tff(36,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )
| ( multiply(multiply(inverse(a),multiply(inverse(a),multiply(a,a))),multiply(b,multiply(inverse(multiply(a,b)),identity))) = multiply(inverse(a),multiply(multiply(inverse(a),multiply(a,a)),multiply(b,multiply(inverse(multiply(a,b)),identity)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(37,plain,
multiply(multiply(inverse(a),multiply(inverse(a),multiply(a,a))),multiply(b,multiply(inverse(multiply(a,b)),identity))) = multiply(inverse(a),multiply(multiply(inverse(a),multiply(a,a)),multiply(b,multiply(inverse(multiply(a,b)),identity)))),
inference(unit_resolution,[status(thm)],[36,28]) ).
tff(38,plain,
multiply(inverse(a),multiply(multiply(inverse(a),multiply(a,a)),multiply(b,multiply(inverse(multiply(a,b)),identity)))) = multiply(multiply(inverse(a),multiply(inverse(a),multiply(a,a))),multiply(b,multiply(inverse(multiply(a,b)),identity))),
inference(symmetry,[status(thm)],[37]) ).
tff(39,plain,
^ [X: $i] :
refl(
( ( multiply(X,identity) = X )
<=> ( multiply(X,identity) = X ) )),
inference(bind,[status(th)],]) ).
tff(40,plain,
( ! [X: $i] : ( multiply(X,identity) = X )
<=> ! [X: $i] : ( multiply(X,identity) = X ) ),
inference(quant_intro,[status(thm)],[39]) ).
tff(41,plain,
( ! [X: $i] : ( multiply(X,identity) = X )
<=> ! [X: $i] : ( multiply(X,identity) = X ) ),
inference(rewrite,[status(thm)],]) ).
tff(42,axiom,
! [X: $i] : ( multiply(X,identity) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
tff(43,plain,
! [X: $i] : ( multiply(X,identity) = X ),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
! [X: $i] : ( multiply(X,identity) = X ),
inference(skolemize,[status(sab)],[43]) ).
tff(45,plain,
! [X: $i] : ( multiply(X,identity) = X ),
inference(modus_ponens,[status(thm)],[44,40]) ).
tff(46,plain,
( ~ ! [X: $i] : ( multiply(X,identity) = X )
| ( multiply(inverse(multiply(a,b)),identity) = inverse(multiply(a,b)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(47,plain,
multiply(inverse(multiply(a,b)),identity) = inverse(multiply(a,b)),
inference(unit_resolution,[status(thm)],[46,45]) ).
tff(48,plain,
inverse(multiply(a,b)) = multiply(inverse(multiply(a,b)),identity),
inference(symmetry,[status(thm)],[47]) ).
tff(49,plain,
multiply(b,inverse(multiply(a,b))) = multiply(b,multiply(inverse(multiply(a,b)),identity)),
inference(monotonicity,[status(thm)],[48]) ).
tff(50,plain,
multiply(b,multiply(inverse(multiply(a,b)),identity)) = multiply(b,inverse(multiply(a,b))),
inference(symmetry,[status(thm)],[49]) ).
tff(51,plain,
multiply(multiply(inverse(a),multiply(a,a)),multiply(b,multiply(inverse(multiply(a,b)),identity))) = multiply(a,multiply(b,inverse(multiply(a,b)))),
inference(monotonicity,[status(thm)],[32,50]) ).
tff(52,plain,
multiply(a,multiply(b,inverse(multiply(a,b)))) = multiply(multiply(inverse(a),multiply(a,a)),multiply(b,multiply(inverse(multiply(a,b)),identity))),
inference(symmetry,[status(thm)],[51]) ).
tff(53,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )
| ( multiply(multiply(a,b),inverse(multiply(a,b))) = multiply(a,multiply(b,inverse(multiply(a,b)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(54,plain,
multiply(multiply(a,b),inverse(multiply(a,b))) = multiply(a,multiply(b,inverse(multiply(a,b)))),
inference(unit_resolution,[status(thm)],[53,28]) ).
tff(55,plain,
^ [X: $i] :
refl(
( ( multiply(X,inverse(X)) = identity )
<=> ( multiply(X,inverse(X)) = identity ) )),
inference(bind,[status(th)],]) ).
tff(56,plain,
( ! [X: $i] : ( multiply(X,inverse(X)) = identity )
<=> ! [X: $i] : ( multiply(X,inverse(X)) = identity ) ),
inference(quant_intro,[status(thm)],[55]) ).
tff(57,plain,
( ! [X: $i] : ( multiply(X,inverse(X)) = identity )
<=> ! [X: $i] : ( multiply(X,inverse(X)) = identity ) ),
inference(rewrite,[status(thm)],]) ).
tff(58,axiom,
! [X: $i] : ( multiply(X,inverse(X)) = identity ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
tff(59,plain,
! [X: $i] : ( multiply(X,inverse(X)) = identity ),
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,plain,
! [X: $i] : ( multiply(X,inverse(X)) = identity ),
inference(skolemize,[status(sab)],[59]) ).
tff(61,plain,
! [X: $i] : ( multiply(X,inverse(X)) = identity ),
inference(modus_ponens,[status(thm)],[60,56]) ).
tff(62,plain,
( ~ ! [X: $i] : ( multiply(X,inverse(X)) = identity )
| ( multiply(multiply(a,b),inverse(multiply(a,b))) = identity ) ),
inference(quant_inst,[status(thm)],]) ).
tff(63,plain,
multiply(multiply(a,b),inverse(multiply(a,b))) = identity,
inference(unit_resolution,[status(thm)],[62,61]) ).
tff(64,plain,
identity = multiply(multiply(a,b),inverse(multiply(a,b))),
inference(symmetry,[status(thm)],[63]) ).
tff(65,plain,
( ~ ! [X: $i] : ( multiply(X,inverse(X)) = identity )
| ( multiply(identity,inverse(identity)) = identity ) ),
inference(quant_inst,[status(thm)],]) ).
tff(66,plain,
multiply(identity,inverse(identity)) = identity,
inference(unit_resolution,[status(thm)],[65,61]) ).
tff(67,plain,
( ~ ! [X: $i] : ( multiply(identity,X) = X )
| ( multiply(identity,inverse(identity)) = inverse(identity) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(68,plain,
multiply(identity,inverse(identity)) = inverse(identity),
inference(unit_resolution,[status(thm)],[67,16]) ).
tff(69,plain,
inverse(identity) = multiply(identity,inverse(identity)),
inference(symmetry,[status(thm)],[68]) ).
tff(70,plain,
inverse(identity) = multiply(multiply(inverse(a),multiply(a,a)),multiply(b,multiply(inverse(multiply(a,b)),identity))),
inference(transitivity,[status(thm)],[69,66,64,54,52]) ).
tff(71,plain,
multiply(inverse(a),inverse(identity)) = multiply(inverse(a),multiply(multiply(inverse(a),multiply(a,a)),multiply(b,multiply(inverse(multiply(a,b)),identity)))),
inference(monotonicity,[status(thm)],[70]) ).
tff(72,plain,
identity = multiply(identity,inverse(identity)),
inference(symmetry,[status(thm)],[66]) ).
tff(73,plain,
identity = inverse(identity),
inference(transitivity,[status(thm)],[72,68]) ).
tff(74,plain,
multiply(inverse(a),identity) = multiply(inverse(a),inverse(identity)),
inference(monotonicity,[status(thm)],[73]) ).
tff(75,plain,
( ~ ! [X: $i] : ( multiply(X,identity) = X )
| ( multiply(inverse(a),identity) = inverse(a) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(76,plain,
multiply(inverse(a),identity) = inverse(a),
inference(unit_resolution,[status(thm)],[75,45]) ).
tff(77,plain,
inverse(a) = multiply(inverse(a),identity),
inference(symmetry,[status(thm)],[76]) ).
tff(78,plain,
inverse(a) = multiply(identity,multiply(b,multiply(inverse(multiply(a,b)),identity))),
inference(transitivity,[status(thm)],[77,74,71,38,35]) ).
tff(79,plain,
multiply(inverse(b),inverse(a)) = multiply(inverse(b),multiply(identity,multiply(b,multiply(inverse(multiply(a,b)),identity)))),
inference(monotonicity,[status(thm)],[78]) ).
tff(80,plain,
multiply(inverse(b),multiply(identity,multiply(b,multiply(inverse(multiply(a,b)),identity)))) = multiply(inverse(b),inverse(a)),
inference(symmetry,[status(thm)],[79]) ).
tff(81,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )
| ( multiply(multiply(inverse(b),identity),multiply(b,multiply(inverse(multiply(a,b)),identity))) = multiply(inverse(b),multiply(identity,multiply(b,multiply(inverse(multiply(a,b)),identity)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(82,plain,
multiply(multiply(inverse(b),identity),multiply(b,multiply(inverse(multiply(a,b)),identity))) = multiply(inverse(b),multiply(identity,multiply(b,multiply(inverse(multiply(a,b)),identity)))),
inference(unit_resolution,[status(thm)],[81,28]) ).
tff(83,plain,
( ~ ! [X: $i] : ( multiply(X,identity) = X )
| ( multiply(inverse(b),identity) = inverse(b) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(84,plain,
multiply(inverse(b),identity) = inverse(b),
inference(unit_resolution,[status(thm)],[83,45]) ).
tff(85,plain,
multiply(multiply(inverse(b),identity),multiply(b,multiply(inverse(multiply(a,b)),identity))) = multiply(inverse(b),multiply(b,inverse(multiply(a,b)))),
inference(monotonicity,[status(thm)],[84,50]) ).
tff(86,plain,
multiply(inverse(b),multiply(b,inverse(multiply(a,b)))) = multiply(multiply(inverse(b),identity),multiply(b,multiply(inverse(multiply(a,b)),identity))),
inference(symmetry,[status(thm)],[85]) ).
tff(87,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )
| ( multiply(multiply(inverse(b),b),inverse(multiply(a,b))) = multiply(inverse(b),multiply(b,inverse(multiply(a,b)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(88,plain,
multiply(multiply(inverse(b),b),inverse(multiply(a,b))) = multiply(inverse(b),multiply(b,inverse(multiply(a,b)))),
inference(unit_resolution,[status(thm)],[87,28]) ).
tff(89,plain,
( ~ ! [X: $i] : ( multiply(inverse(X),X) = identity )
| ( multiply(inverse(multiply(a,b)),multiply(a,b)) = identity ) ),
inference(quant_inst,[status(thm)],]) ).
tff(90,plain,
multiply(inverse(multiply(a,b)),multiply(a,b)) = identity,
inference(unit_resolution,[status(thm)],[89,7]) ).
tff(91,plain,
identity = multiply(inverse(multiply(a,b)),multiply(a,b)),
inference(symmetry,[status(thm)],[90]) ).
tff(92,plain,
( ~ ! [X: $i] : ( multiply(inverse(X),X) = identity )
| ( multiply(inverse(b),b) = identity ) ),
inference(quant_inst,[status(thm)],]) ).
tff(93,plain,
multiply(inverse(b),b) = identity,
inference(unit_resolution,[status(thm)],[92,7]) ).
tff(94,plain,
multiply(inverse(b),b) = multiply(inverse(multiply(a,b)),multiply(a,b)),
inference(transitivity,[status(thm)],[93,91]) ).
tff(95,plain,
multiply(multiply(inverse(b),b),inverse(multiply(a,b))) = multiply(multiply(inverse(multiply(a,b)),multiply(a,b)),inverse(multiply(a,b))),
inference(monotonicity,[status(thm)],[94]) ).
tff(96,plain,
multiply(multiply(inverse(multiply(a,b)),multiply(a,b)),inverse(multiply(a,b))) = multiply(multiply(inverse(b),b),inverse(multiply(a,b))),
inference(symmetry,[status(thm)],[95]) ).
tff(97,plain,
( ~ ! [Z: $i,Y: $i,X: $i] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) )
| ( multiply(multiply(inverse(multiply(a,b)),multiply(a,b)),inverse(multiply(a,b))) = multiply(inverse(multiply(a,b)),multiply(multiply(a,b),inverse(multiply(a,b)))) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(98,plain,
multiply(multiply(inverse(multiply(a,b)),multiply(a,b)),inverse(multiply(a,b))) = multiply(inverse(multiply(a,b)),multiply(multiply(a,b),inverse(multiply(a,b)))),
inference(unit_resolution,[status(thm)],[97,28]) ).
tff(99,plain,
multiply(inverse(multiply(a,b)),multiply(multiply(a,b),inverse(multiply(a,b)))) = multiply(multiply(inverse(multiply(a,b)),multiply(a,b)),inverse(multiply(a,b))),
inference(symmetry,[status(thm)],[98]) ).
tff(100,plain,
multiply(inverse(multiply(a,b)),multiply(multiply(a,b),inverse(multiply(a,b)))) = multiply(inverse(multiply(a,b)),identity),
inference(monotonicity,[status(thm)],[63]) ).
tff(101,plain,
multiply(inverse(multiply(a,b)),identity) = multiply(inverse(multiply(a,b)),multiply(multiply(a,b),inverse(multiply(a,b)))),
inference(symmetry,[status(thm)],[100]) ).
tff(102,plain,
inverse(multiply(a,b)) = multiply(inverse(b),inverse(a)),
inference(transitivity,[status(thm)],[48,101,99,96,88,86,82,80]) ).
tff(103,plain,
( ( inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)) )
<=> ( inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(104,axiom,
inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_of_product_is_product_of_inverses) ).
tff(105,plain,
inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)),
inference(modus_ponens,[status(thm)],[104,103]) ).
tff(106,plain,
$false,
inference(unit_resolution,[status(thm)],[105,102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP012-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Aug 31 14:17:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.19/0.51 % SZS status Unsatisfiable
% 0.19/0.51 % SZS output start Proof
% See solution above
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