TSTP Solution File: GRP046-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP046-2 : 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 : n012.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 16:13:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 20 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,plain,
$false,
inference(subsumption_resolution,[],[f34,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f34,plain,
~ product(identity,a,a),
inference(resolution,[],[f29,f1]) ).
fof(f29,plain,
! [X0,X1] :
( ~ product(X0,multiply(X1,c),multiply(a,c))
| ~ product(X0,X1,a) ),
inference(resolution,[],[f23,f10]) ).
fof(f10,plain,
! [X0,X1] :
( ~ product(X0,X1,multiply(b,c))
| ~ product(X0,X1,multiply(a,c)) ),
inference(resolution,[],[f4,f9]) ).
fof(f9,axiom,
~ equalish(multiply(a,c),multiply(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_multiply_substitution1) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f23,plain,
! [X6,X4,X5] :
( product(X4,multiply(X5,X6),multiply(b,X6))
| ~ product(X4,X5,a) ),
inference(resolution,[],[f19,f3]) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| product(X3,X2,multiply(b,X1))
| ~ product(X3,X0,a) ),
inference(resolution,[],[f18,f3]) ).
fof(f18,plain,
! [X16,X14,X17,X15,X13] :
( ~ product(b,X14,X16)
| ~ product(X13,X14,X15)
| product(X17,X15,X16)
| ~ product(X17,X13,a) ),
inference(resolution,[],[f5,f13]) ).
fof(f13,plain,
! [X0,X1] :
( product(X0,X1,b)
| ~ product(X0,X1,a) ),
inference(resolution,[],[f7,f8]) ).
fof(f8,axiom,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ equalish(X0,X1)
| ~ product(X3,X2,X0)
| product(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X1,X2,X5)
| ~ product(X4,X2,X3)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP046-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:09:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (32240)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (32260)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.50 % (32238)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.50 % (32238)Refutation not found, incomplete strategy% (32238)------------------------------
% 0.19/0.50 % (32238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (32238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (32238)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (32238)Memory used [KB]: 5756
% 0.19/0.50 % (32238)Time elapsed: 0.107 s
% 0.19/0.50 % (32238)Instructions burned: 1 (million)
% 0.19/0.50 % (32238)------------------------------
% 0.19/0.50 % (32238)------------------------------
% 0.19/0.50 % (32260)Refutation not found, incomplete strategy% (32260)------------------------------
% 0.19/0.50 % (32260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (32260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (32260)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (32260)Memory used [KB]: 5756
% 0.19/0.50 % (32260)Time elapsed: 0.110 s
% 0.19/0.50 % (32260)Instructions burned: 1 (million)
% 0.19/0.50 % (32260)------------------------------
% 0.19/0.50 % (32260)------------------------------
% 0.19/0.50 % (32237)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)
% 0.19/0.50 % (32253)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.50 % (32246)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.50 % (32240)First to succeed.
% 0.19/0.50 % (32245)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)
% 0.19/0.51 % (32240)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (32240)------------------------------
% 0.19/0.51 % (32240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (32240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (32240)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (32240)Memory used [KB]: 1279
% 0.19/0.51 % (32240)Time elapsed: 0.109 s
% 0.19/0.51 % (32240)Instructions burned: 3 (million)
% 0.19/0.51 % (32240)------------------------------
% 0.19/0.51 % (32240)------------------------------
% 0.19/0.51 % (32230)Success in time 0.157 s
%------------------------------------------------------------------------------