TSTP Solution File: GRP702+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n021.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 16:23:52 EDT 2022
% Result : Theorem 1.43s 0.69s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 18 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 43 ( 23 ~; 13 |; 6 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 33 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f321,plain,
$false,
inference(subsumption_resolution,[],[f320,f36]) ).
fof(f36,plain,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
fof(f320,plain,
mult(op_c,mult(sK1,sK0)) != mult(mult(op_c,sK1),sK0),
inference(subsumption_resolution,[],[f319,f46]) ).
fof(f46,plain,
! [X0,X1] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0] : 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/sandbox/benchmark/theBenchmark.p',f09) ).
fof(f319,plain,
( mult(sK1,mult(sK0,op_c)) != mult(mult(sK1,sK0),op_c)
| mult(op_c,mult(sK1,sK0)) != mult(mult(op_c,sK1),sK0) ),
inference(subsumption_resolution,[],[f318,f43]) ).
fof(f43,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/sandbox/benchmark/theBenchmark.p',f10) ).
fof(f318,plain,
( mult(sK1,mult(op_c,sK0)) != mult(mult(sK1,op_c),sK0)
| mult(op_c,mult(sK1,sK0)) != mult(mult(op_c,sK1),sK0)
| mult(sK1,mult(sK0,op_c)) != mult(mult(sK1,sK0),op_c) ),
inference(superposition,[],[f35,f197]) ).
fof(f197,plain,
op_c = op_d,
inference(superposition,[],[f42,f44]) ).
fof(f44,plain,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,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/sandbox/benchmark/theBenchmark.p',f11) ).
fof(f42,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(rectify,[],[f20]) ).
fof(f20,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/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f35,plain,
( mult(sK1,mult(sK0,op_d)) != mult(mult(sK1,sK0),op_d)
| mult(sK1,mult(op_d,sK0)) != mult(mult(sK1,op_d),sK0)
| mult(op_d,mult(sK1,sK0)) != mult(mult(op_d,sK1),sK0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( mult(sK1,mult(sK0,op_d)) != mult(mult(sK1,sK0),op_d)
| mult(sK1,mult(op_d,sK0)) != mult(mult(sK1,op_d),sK0)
| mult(op_d,mult(sK1,sK0)) != mult(mult(op_d,sK1),sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f27,f28]) ).
fof(f28,plain,
( ? [X0,X1] :
( mult(X1,mult(X0,op_d)) != mult(mult(X1,X0),op_d)
| mult(X1,mult(op_d,X0)) != mult(mult(X1,op_d),X0)
| mult(mult(op_d,X1),X0) != mult(op_d,mult(X1,X0)) )
=> ( mult(sK1,mult(sK0,op_d)) != mult(mult(sK1,sK0),op_d)
| mult(sK1,mult(op_d,sK0)) != mult(mult(sK1,op_d),sK0)
| mult(op_d,mult(sK1,sK0)) != mult(mult(op_d,sK1),sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0,X1] :
( mult(X1,mult(X0,op_d)) != mult(mult(X1,X0),op_d)
| mult(X1,mult(op_d,X0)) != mult(mult(X1,op_d),X0)
| mult(mult(op_d,X1),X0) != mult(op_d,mult(X1,X0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X1] :
( mult(X1,mult(X0,op_d)) = mult(mult(X1,X0),op_d)
& mult(X1,mult(op_d,X0)) = mult(mult(X1,op_d),X0)
& mult(mult(op_d,X1),X0) = mult(op_d,mult(X1,X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X4,X3] :
( mult(X3,mult(op_d,X4)) = mult(mult(X3,op_d),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) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X4,X3] :
( mult(X3,mult(op_d,X4)) = mult(mult(X3,op_d),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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP702+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:43:10 EDT 2022
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% 0.67/0.64 % (24792)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.67/0.64 % (24796)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.26/0.65 % (24800)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.26/0.65 % (24788)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/48Mi)
% 1.26/0.66 % (24785)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.26/0.66 % (24794)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.26/0.66 % (24791)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.26/0.66 % (24783)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/191324Mi)
% 1.26/0.66 % (24785)First to succeed.
% 1.26/0.66 TRYING [1]
% 1.26/0.66 % (24808)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.26/0.67 TRYING [2]
% 1.26/0.67 % (24793)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.43/0.67 % (24804)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.43/0.67 TRYING [1]
% 1.43/0.67 TRYING [2]
% 1.43/0.67 % (24810)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/177Mi)
% 1.43/0.67 TRYING [3]
% 1.43/0.67 % (24784)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.43/0.68 % (24802)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.43/0.68 % (24812)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/355Mi)
% 1.43/0.68 % (24799)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.43/0.68 % (24797)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 1.43/0.68 % (24795)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.43/0.68 % (24791)Instruction limit reached!
% 1.43/0.68 % (24791)------------------------------
% 1.43/0.68 % (24791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.68 % (24791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.68 % (24791)Termination reason: Unknown
% 1.43/0.68 % (24791)Termination phase: Saturation
% 1.43/0.68
% 1.43/0.68 % (24791)Memory used [KB]: 5373
% 1.43/0.68 % (24791)Time elapsed: 0.003 s
% 1.43/0.68 % (24791)Instructions burned: 2 (million)
% 1.43/0.68 % (24791)------------------------------
% 1.43/0.68 % (24791)------------------------------
% 1.43/0.68 % (24806)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/467Mi)
% 1.43/0.68 % (24789)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.43/0.68 % (24807)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.43/0.68 % (24786)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.43/0.68 TRYING [1]
% 1.43/0.68 TRYING [2]
% 1.43/0.68 % (24784)Also succeeded, but the first one will report.
% 1.43/0.69 % (24785)Refutation found. Thanks to Tanya!
% 1.43/0.69 % SZS status Theorem for theBenchmark
% 1.43/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.69 % (24785)------------------------------
% 1.43/0.69 % (24785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.69 % (24785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.69 % (24785)Termination reason: Refutation
% 1.43/0.69
% 1.43/0.69 % (24785)Memory used [KB]: 1151
% 1.43/0.69 % (24785)Time elapsed: 0.124 s
% 1.43/0.69 % (24785)Instructions burned: 11 (million)
% 1.43/0.69 % (24785)------------------------------
% 1.43/0.69 % (24785)------------------------------
% 1.43/0.69 % (24648)Success in time 0.338 s
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