TSTP Solution File: GRP702+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP702+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n029.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 16:18:20 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 20 unt; 0 def)
% Number of atoms : 74 ( 52 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 62 ( 29 ~; 23 |; 6 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 33 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,plain,
$false,
inference(avatar_sat_refutation,[],[f48,f54,f57,f61]) ).
fof(f61,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| spl2_3 ),
inference(subsumption_resolution,[],[f59,f34]) ).
fof(f34,plain,
! [X0,X1] : mult(X1,mult(op_c,X0)) = mult(mult(X1,op_c),X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : mult(X1,mult(op_c,X0)) = mult(mult(X1,op_c),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
fof(f59,plain,
( mult(sK1,mult(op_c,sK0)) != mult(mult(sK1,op_c),sK0)
| spl2_3 ),
inference(forward_demodulation,[],[f47,f50]) ).
fof(f50,plain,
op_c = op_d,
inference(superposition,[],[f29,f30]) ).
fof(f30,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X1,X0] : ld(X0,mult(X0,X1)) = X1,
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f29,plain,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1] : op_d = ld(X1,mult(op_c,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
fof(f47,plain,
( mult(sK1,mult(op_d,sK0)) != mult(mult(sK1,op_d),sK0)
| spl2_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl2_3
<=> mult(sK1,mult(op_d,sK0)) = mult(mult(sK1,op_d),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f57,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f56]) ).
fof(f56,plain,
( $false
| spl2_2 ),
inference(subsumption_resolution,[],[f55,f31]) ).
fof(f31,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f55,plain,
( mult(mult(sK1,sK0),op_c) != mult(sK1,mult(sK0,op_c))
| spl2_2 ),
inference(forward_demodulation,[],[f43,f50]) ).
fof(f43,plain,
( mult(sK1,mult(sK0,op_d)) != mult(mult(sK1,sK0),op_d)
| spl2_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl2_2
<=> mult(sK1,mult(sK0,op_d)) = mult(mult(sK1,sK0),op_d) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f54,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f53]) ).
fof(f53,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f51,f33]) ).
fof(f33,plain,
! [X0,X1] : mult(mult(op_c,X0),X1) = mult(op_c,mult(X0,X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] : mult(mult(op_c,X0),X1) = mult(op_c,mult(X0,X1)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f51,plain,
( mult(mult(op_c,sK1),sK0) != mult(op_c,mult(sK1,sK0))
| spl2_1 ),
inference(backward_demodulation,[],[f39,f50]) ).
fof(f39,plain,
( mult(mult(op_d,sK1),sK0) != mult(op_d,mult(sK1,sK0))
| spl2_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl2_1
<=> mult(mult(op_d,sK1),sK0) = mult(op_d,mult(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f48,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f35,f45,f41,f37]) ).
fof(f35,plain,
( mult(sK1,mult(op_d,sK0)) != mult(mult(sK1,op_d),sK0)
| mult(sK1,mult(sK0,op_d)) != mult(mult(sK1,sK0),op_d)
| mult(mult(op_d,sK1),sK0) != mult(op_d,mult(sK1,sK0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( mult(mult(op_d,sK1),sK0) != mult(op_d,mult(sK1,sK0))
| mult(sK1,mult(sK0,op_d)) != mult(mult(sK1,sK0),op_d)
| mult(sK1,mult(op_d,sK0)) != mult(mult(sK1,op_d),sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f25,f26]) ).
fof(f26,plain,
( ? [X0,X1] :
( mult(op_d,mult(X1,X0)) != mult(mult(op_d,X1),X0)
| mult(mult(X1,X0),op_d) != mult(X1,mult(X0,op_d))
| mult(X1,mult(op_d,X0)) != mult(mult(X1,op_d),X0) )
=> ( mult(mult(op_d,sK1),sK0) != mult(op_d,mult(sK1,sK0))
| mult(sK1,mult(sK0,op_d)) != mult(mult(sK1,sK0),op_d)
| mult(sK1,mult(op_d,sK0)) != mult(mult(sK1,op_d),sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1] :
( mult(op_d,mult(X1,X0)) != mult(mult(op_d,X1),X0)
| mult(mult(X1,X0),op_d) != mult(X1,mult(X0,op_d))
| mult(X1,mult(op_d,X0)) != mult(mult(X1,op_d),X0) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
? [X1,X0] :
( mult(op_d,mult(X0,X1)) != mult(mult(op_d,X0),X1)
| mult(X0,mult(X1,op_d)) != mult(mult(X0,X1),op_d)
| mult(X0,mult(op_d,X1)) != mult(mult(X0,op_d),X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X0,X1] :
( mult(op_d,mult(X0,X1)) = mult(mult(op_d,X0),X1)
& mult(X0,mult(op_d,X1)) = mult(mult(X0,op_d),X1)
& mult(X0,mult(X1,op_d)) = mult(mult(X0,X1),op_d) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X3,X4] :
( mult(X3,mult(X4,op_d)) = mult(mult(X3,X4),op_d)
& mult(op_d,mult(X3,X4)) = mult(mult(op_d,X3),X4)
& mult(X3,mult(op_d,X4)) = mult(mult(X3,op_d),X4) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X3,X4] :
( mult(X3,mult(X4,op_d)) = mult(mult(X3,X4),op_d)
& mult(op_d,mult(X3,X4)) = mult(mult(op_d,X3),X4)
& mult(X3,mult(op_d,X4)) = mult(mult(X3,op_d),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP702+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n029.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 : Mon Aug 29 22:56:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.47 % (29471)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.48 % (29487)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48 % (29471)Refutation not found, incomplete strategy% (29471)------------------------------
% 0.19/0.48 % (29471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (29479)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.48 % (29487)Refutation not found, incomplete strategy% (29487)------------------------------
% 0.19/0.48 % (29487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (29479)Instruction limit reached!
% 0.19/0.48 % (29479)------------------------------
% 0.19/0.48 % (29479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (29471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (29471)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (29471)Memory used [KB]: 5884
% 0.19/0.48 % (29471)Time elapsed: 0.106 s
% 0.19/0.48 % (29471)Instructions burned: 1 (million)
% 0.19/0.48 % (29471)------------------------------
% 0.19/0.48 % (29471)------------------------------
% 0.19/0.48 % (29479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (29479)Termination reason: Unknown
% 0.19/0.48 % (29479)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (29479)Memory used [KB]: 1407
% 0.19/0.48 % (29479)Time elapsed: 0.003 s
% 0.19/0.48 % (29479)Instructions burned: 2 (million)
% 0.19/0.48 % (29479)------------------------------
% 0.19/0.48 % (29479)------------------------------
% 0.19/0.48 % (29487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (29487)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (29487)Memory used [KB]: 6012
% 0.19/0.48 % (29487)Time elapsed: 0.102 s
% 0.19/0.48 % (29487)Instructions burned: 2 (million)
% 0.19/0.48 % (29487)------------------------------
% 0.19/0.48 % (29487)------------------------------
% 0.19/0.49 % (29466)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.49 % (29466)Refutation not found, incomplete strategy% (29466)------------------------------
% 0.19/0.49 % (29466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (29466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (29466)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49 % (29466)Memory used [KB]: 1407
% 0.19/0.49 % (29466)Time elapsed: 0.107 s
% 0.19/0.49 % (29466)Instructions burned: 1 (million)
% 0.19/0.49 % (29466)------------------------------
% 0.19/0.49 % (29466)------------------------------
% 0.19/0.49 % (29467)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.49 % (29465)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.49 % (29474)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (29465)First to succeed.
% 0.19/0.49 % (29482)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (29465)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (29465)------------------------------
% 0.19/0.50 % (29465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (29465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (29465)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (29465)Memory used [KB]: 5884
% 0.19/0.50 % (29465)Time elapsed: 0.110 s
% 0.19/0.50 % (29465)Instructions burned: 2 (million)
% 0.19/0.50 % (29465)------------------------------
% 0.19/0.50 % (29465)------------------------------
% 0.19/0.50 % (29459)Success in time 0.154 s
%------------------------------------------------------------------------------