TSTP Solution File: GRP031-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP031-2 : 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 : n015.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 16:13:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 49 ( 31 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,plain,
$false,
inference(resolution,[],[f104,f1]) ).
fof(f1,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
fof(f104,plain,
! [X0,X1] : ~ product(inverse(X0),X0,multiply(X1,a)),
inference(resolution,[],[f98,f1]) ).
fof(f98,plain,
! [X3,X6,X4,X5] :
( ~ product(X3,inverse(X4),multiply(multiply(X5,a),X6))
| ~ product(X6,X4,X3) ),
inference(resolution,[],[f45,f5]) ).
fof(f5,axiom,
! [X6] : product(X6,inverse(X6),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f45,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,identity)
| ~ product(X2,X3,multiply(multiply(X4,a),X0))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f41,f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X5,X3)
| ~ product(X0,X1,X4)
| ~ product(X1,X2,X5)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f41,plain,
! [X0,X1] : ~ product(X0,identity,multiply(multiply(X1,a),X0)),
inference(resolution,[],[f26,f6]) ).
fof(f6,axiom,
! [X6] : product(X6,identity,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f26,plain,
! [X8,X6,X9,X7] :
( ~ product(multiply(multiply(X9,a),X6),X7,X8)
| ~ product(X6,X7,X8) ),
inference(resolution,[],[f23,f1]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(multiply(X0,a),X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X4) ),
inference(resolution,[],[f21,f3]) ).
fof(f21,plain,
! [X0,X1] : ~ product(multiply(X0,a),X1,X1),
inference(resolution,[],[f16,f5]) ).
fof(f16,plain,
! [X2,X3,X4] :
( ~ product(X4,inverse(X3),identity)
| ~ product(multiply(X2,a),X3,X4) ),
inference(resolution,[],[f13,f5]) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,identity)
| ~ product(multiply(X2,a),X0,X3)
| ~ product(X3,X1,identity) ),
inference(resolution,[],[f12,f1]) ).
fof(f12,plain,
! [X2,X3,X1,X4,X5] :
( ~ product(X1,a,X2)
| ~ product(X3,X5,identity)
| ~ product(X2,X3,X4)
| ~ product(X4,X5,identity) ),
inference(resolution,[],[f9,f3]) ).
fof(f9,plain,
! [X0,X1] :
( ~ product(X0,identity,identity)
| ~ product(X1,a,X0) ),
inference(resolution,[],[f8,f6]) ).
fof(f8,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,X3,a)
| ~ product(X2,X3,identity)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f3,f7]) ).
fof(f7,axiom,
! [X6] : ~ product(X6,a,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_has_a_left_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP031-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n015.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 22:20:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 % (12031)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (12023)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 % (12013)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50 TRYING [3]
% 0.19/0.51 % (12015)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (12023)Instruction limit reached!
% 0.19/0.51 % (12023)------------------------------
% 0.19/0.51 % (12023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (12023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (12023)Termination reason: Unknown
% 0.19/0.51 % (12023)Termination phase: Finite model building SAT solving
% 0.19/0.51
% 0.19/0.51 % (12023)Memory used [KB]: 6012
% 0.19/0.51 % (12023)Time elapsed: 0.071 s
% 0.19/0.51 % (12023)Instructions burned: 6 (million)
% 0.19/0.51 % (12023)------------------------------
% 0.19/0.51 % (12023)------------------------------
% 0.19/0.51 % (12010)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.51 % (12021)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (12018)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51 % (12017)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (12013)First to succeed.
% 0.19/0.51 % (12038)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)
% 0.19/0.51 % (12008)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51 % (12029)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.52 % (12013)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (12013)------------------------------
% 0.19/0.52 % (12013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (12013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (12013)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (12013)Memory used [KB]: 5884
% 0.19/0.52 % (12013)Time elapsed: 0.131 s
% 0.19/0.52 % (12013)Instructions burned: 6 (million)
% 0.19/0.52 % (12013)------------------------------
% 0.19/0.52 % (12013)------------------------------
% 0.19/0.52 % (12005)Success in time 0.174 s
%------------------------------------------------------------------------------