TSTP Solution File: GRP013-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n019.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 16:13:42 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 20 unt; 0 def)
% Number of atoms : 31 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f151,plain,
$false,
inference(subsumption_resolution,[],[f150,f137]) ).
fof(f137,plain,
! [X0,X1] : product(X1,X1,multiply(X0,X0)),
inference(superposition,[],[f9,f53]) ).
fof(f53,plain,
! [X0] : identity = multiply(X0,X0),
inference(resolution,[],[f19,f5]) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
fof(f19,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| identity = X1 ),
inference(resolution,[],[f6,f9]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f9,axiom,
! [X6] : product(X6,X6,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',squareness) ).
fof(f150,plain,
! [X0] : ~ product(multiply(a,b),multiply(a,b),multiply(X0,X0)),
inference(forward_demodulation,[],[f149,f64]) ).
fof(f64,plain,
c = multiply(a,b),
inference(resolution,[],[f26,f5]) ).
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(f149,plain,
! [X0] : ~ product(c,multiply(a,b),multiply(X0,X0)),
inference(forward_demodulation,[],[f138,f130]) ).
fof(f130,plain,
d = multiply(a,b),
inference(forward_demodulation,[],[f126,f64]) ).
fof(f126,plain,
c = d,
inference(resolution,[],[f106,f26]) ).
fof(f106,plain,
product(a,b,d),
inference(forward_demodulation,[],[f104,f70]) ).
fof(f70,plain,
! [X3] : inverse(X3) = X3,
inference(resolution,[],[f21,f15]) ).
fof(f15,plain,
! [X0] : product(inverse(X0),identity,X0),
inference(resolution,[],[f12,f3]) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_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(X5,identity,X6)
| X5 = X6 ),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f104,plain,
product(inverse(a),b,d),
inference(superposition,[],[f11,f70]) ).
fof(f11,axiom,
product(inverse(a),inverse(b),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_a_times_inverse_b_is_d) ).
fof(f138,plain,
! [X0] : ~ product(c,d,multiply(X0,X0)),
inference(superposition,[],[f13,f53]) ).
fof(f13,axiom,
~ product(c,d,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_times_d_is_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:10:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (9898)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.50 % (9926)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (9907)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.51 % (9898)First to succeed.
% 0.20/0.52 % (9895)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52 % (9898)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (9898)------------------------------
% 0.20/0.52 % (9898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9898)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (9898)Memory used [KB]: 5884
% 0.20/0.52 % (9898)Time elapsed: 0.106 s
% 0.20/0.52 % (9898)Instructions burned: 6 (million)
% 0.20/0.52 % (9898)------------------------------
% 0.20/0.52 % (9898)------------------------------
% 0.20/0.52 % (9889)Success in time 0.165 s
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