TSTP Solution File: GRP013-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n008.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 : Wed Aug 31 16:18:56 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 22 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f89,plain,
$false,
inference(subsumption_resolution,[],[f88,f9]) ).
fof(f9,axiom,
! [X6] : product(X6,X6,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',squareness) ).
fof(f88,plain,
~ product(c,c,identity),
inference(superposition,[],[f13,f81]) ).
fof(f81,plain,
c = d,
inference(resolution,[],[f77,f26]) ).
fof(f26,plain,
! [X14] :
( ~ product(a,b,X14)
| c = X14 ),
inference(resolution,[],[f6,f10]) ).
fof(f10,axiom,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| X2 = X3
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f77,plain,
product(a,b,d),
inference(forward_demodulation,[],[f75,f46]) ).
fof(f46,plain,
! [X1] : inverse(X1) = X1,
inference(resolution,[],[f21,f16]) ).
fof(f16,plain,
! [X1] : product(X1,identity,inverse(X1)),
inference(resolution,[],[f12,f4]) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f12,axiom,
! [X8,X6,X7] :
( ~ product(inverse(X6),inverse(X7),X8)
| product(X6,X8,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverses_have_property) ).
fof(f21,plain,
! [X6,X5] :
( ~ product(X6,identity,X5)
| X5 = X6 ),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f75,plain,
product(a,inverse(b),d),
inference(superposition,[],[f11,f46]) ).
fof(f11,axiom,
product(inverse(a),inverse(b),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_a_times_inverse_b_is_d) ).
fof(f13,axiom,
~ product(c,d,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_times_d_is_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:11:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47 % (28550)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47 TRYING [1]
% 0.19/0.47 TRYING [2]
% 0.19/0.48 TRYING [3]
% 0.19/0.48 % (28555)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49 % (28556)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.49 % (28557)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49 % (28548)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (28556)First to succeed.
% 0.19/0.50 % (28562)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (28556)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (28556)------------------------------
% 0.19/0.50 % (28556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (28556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (28556)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (28556)Memory used [KB]: 5373
% 0.19/0.50 % (28556)Time elapsed: 0.104 s
% 0.19/0.50 % (28556)Instructions burned: 3 (million)
% 0.19/0.50 % (28556)------------------------------
% 0.19/0.50 % (28556)------------------------------
% 0.19/0.50 % (28540)Success in time 0.163 s
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