TSTP Solution File: GRP194+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP194+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n010.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 16:20:51 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 21 unt; 0 def)
% Number of atoms : 132 ( 37 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 126 ( 48 ~; 43 |; 24 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 61 ( 53 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f300,plain,
$false,
inference(subsumption_resolution,[],[f299,f50]) ).
fof(f50,plain,
group_member(sF2,h),
inference(forward_demodulation,[],[f49,f46]) ).
fof(f46,plain,
phi(f_left_zero) = sF2,
introduced(function_definition,[]) ).
fof(f49,plain,
group_member(phi(f_left_zero),h),
inference(resolution,[],[f40,f48]) ).
fof(f48,plain,
group_member(f_left_zero,f),
inference(resolution,[],[f42,f37]) ).
fof(f37,plain,
left_zero(f,f_left_zero),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
left_zero(f,f_left_zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_zero_for_f) ).
fof(f42,plain,
! [X0,X1] :
( ~ left_zero(X0,X1)
| group_member(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( left_zero(X0,X1)
| ~ group_member(X1,X0)
| ( multiply(X0,X1,sK1(X0,X1)) != X1
& group_member(sK1(X0,X1),X0) ) )
& ( ( group_member(X1,X0)
& ! [X3] :
( multiply(X0,X1,X3) = X1
| ~ group_member(X3,X0) ) )
| ~ left_zero(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f30,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ? [X2] :
( multiply(X0,X1,X2) != X1
& group_member(X2,X0) )
=> ( multiply(X0,X1,sK1(X0,X1)) != X1
& group_member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0,X1] :
( ( left_zero(X0,X1)
| ~ group_member(X1,X0)
| ? [X2] :
( multiply(X0,X1,X2) != X1
& group_member(X2,X0) ) )
& ( ( group_member(X1,X0)
& ! [X3] :
( multiply(X0,X1,X3) = X1
| ~ group_member(X3,X0) ) )
| ~ left_zero(X0,X1) ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( left_zero(X0,X1)
| ~ group_member(X1,X0)
| ? [X2] :
( multiply(X0,X1,X2) != X1
& group_member(X2,X0) ) )
& ( ( group_member(X1,X0)
& ! [X2] :
( multiply(X0,X1,X2) = X1
| ~ group_member(X2,X0) ) )
| ~ left_zero(X0,X1) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( left_zero(X0,X1)
| ~ group_member(X1,X0)
| ? [X2] :
( multiply(X0,X1,X2) != X1
& group_member(X2,X0) ) )
& ( ( group_member(X1,X0)
& ! [X2] :
( multiply(X0,X1,X2) = X1
| ~ group_member(X2,X0) ) )
| ~ left_zero(X0,X1) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( left_zero(X0,X1)
<=> ( group_member(X1,X0)
& ! [X2] :
( multiply(X0,X1,X2) = X1
| ~ group_member(X2,X0) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( left_zero(X0,X1)
<=> ( group_member(X1,X0)
& ! [X2] :
( group_member(X2,X0)
=> multiply(X0,X1,X2) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_zero) ).
fof(f40,plain,
! [X0] :
( ~ group_member(X0,f)
| group_member(phi(X0),h) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( group_member(phi(X0),h)
| ~ group_member(X0,f) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( group_member(X0,f)
=> group_member(phi(X0),h) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1] :
( group_member(X1,f)
=> group_member(phi(X1),h) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',homomorphism1) ).
fof(f299,plain,
~ group_member(sF2,h),
inference(subsumption_resolution,[],[f298,f47]) ).
fof(f47,plain,
~ left_zero(h,sF2),
inference(definition_folding,[],[f36,f46]) ).
fof(f36,plain,
~ left_zero(h,phi(f_left_zero)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
~ left_zero(h,phi(f_left_zero)),
inference(flattening,[],[f9]) ).
fof(f9,negated_conjecture,
~ left_zero(h,phi(f_left_zero)),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
left_zero(h,phi(f_left_zero)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_zero_h) ).
fof(f298,plain,
( left_zero(h,sF2)
| ~ group_member(sF2,h) ),
inference(trivial_inequality_removal,[],[f297]) ).
fof(f297,plain,
( left_zero(h,sF2)
| ~ group_member(sF2,h)
| sF2 != sF2 ),
inference(superposition,[],[f44,f261]) ).
fof(f261,plain,
sF2 = multiply(h,sF2,sK1(h,sF2)),
inference(forward_demodulation,[],[f260,f46]) ).
fof(f260,plain,
phi(f_left_zero) = multiply(h,sF2,sK1(h,sF2)),
inference(backward_demodulation,[],[f171,f255]) ).
fof(f255,plain,
f_left_zero = multiply(f,f_left_zero,sK0(sK1(h,sF2))),
inference(resolution,[],[f85,f37]) ).
fof(f85,plain,
! [X0] :
( ~ left_zero(f,X0)
| multiply(f,X0,sK0(sK1(h,sF2))) = X0 ),
inference(resolution,[],[f69,f41]) ).
fof(f41,plain,
! [X3,X0,X1] :
( ~ group_member(X3,X0)
| ~ left_zero(X0,X1)
| multiply(X0,X1,X3) = X1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f69,plain,
group_member(sK0(sK1(h,sF2)),f),
inference(resolution,[],[f58,f39]) ).
fof(f39,plain,
! [X0] :
( ~ group_member(X0,h)
| group_member(sK0(X0),f) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ( group_member(sK0(X0),f)
& phi(sK0(X0)) = X0 )
| ~ group_member(X0,h) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f26]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( group_member(X1,f)
& phi(X1) = X0 )
=> ( group_member(sK0(X0),f)
& phi(sK0(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0] :
( ? [X1] :
( group_member(X1,f)
& phi(X1) = X0 )
| ~ group_member(X0,h) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( group_member(X0,h)
=> ? [X1] :
( group_member(X1,f)
& phi(X1) = X0 ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1] :
( group_member(X1,h)
=> ? [X2] :
( phi(X2) = X1
& group_member(X2,f) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surjective) ).
fof(f58,plain,
group_member(sK1(h,sF2),h),
inference(subsumption_resolution,[],[f56,f47]) ).
fof(f56,plain,
( group_member(sK1(h,sF2),h)
| left_zero(h,sF2) ),
inference(resolution,[],[f43,f50]) ).
fof(f43,plain,
! [X0,X1] :
( ~ group_member(X1,X0)
| group_member(sK1(X0,X1),X0)
| left_zero(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f171,plain,
phi(multiply(f,f_left_zero,sK0(sK1(h,sF2)))) = multiply(h,sF2,sK1(h,sF2)),
inference(forward_demodulation,[],[f169,f68]) ).
fof(f68,plain,
phi(sK0(sK1(h,sF2))) = sK1(h,sF2),
inference(resolution,[],[f58,f38]) ).
fof(f38,plain,
! [X0] :
( ~ group_member(X0,h)
| phi(sK0(X0)) = X0 ),
inference(cnf_transformation,[],[f27]) ).
fof(f169,plain,
phi(multiply(f,f_left_zero,sK0(sK1(h,sF2)))) = multiply(h,sF2,phi(sK0(sK1(h,sF2)))),
inference(resolution,[],[f143,f69]) ).
fof(f143,plain,
! [X0] :
( ~ group_member(X0,f)
| phi(multiply(f,f_left_zero,X0)) = multiply(h,sF2,phi(X0)) ),
inference(forward_demodulation,[],[f140,f46]) ).
fof(f140,plain,
! [X0] :
( phi(multiply(f,f_left_zero,X0)) = multiply(h,phi(f_left_zero),phi(X0))
| ~ group_member(X0,f) ),
inference(resolution,[],[f34,f48]) ).
fof(f34,plain,
! [X0,X1] :
( ~ group_member(X0,f)
| ~ group_member(X1,f)
| phi(multiply(f,X0,X1)) = multiply(h,phi(X0),phi(X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ group_member(X1,f)
| ~ group_member(X0,f)
| phi(multiply(f,X0,X1)) = multiply(h,phi(X0),phi(X1)) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( phi(multiply(f,X0,X1)) = multiply(h,phi(X0),phi(X1))
| ~ group_member(X1,f)
| ~ group_member(X0,f) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( group_member(X1,f)
& group_member(X0,f) )
=> phi(multiply(f,X0,X1)) = multiply(h,phi(X0),phi(X1)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2] :
( ( group_member(X2,f)
& group_member(X1,f) )
=> multiply(h,phi(X1),phi(X2)) = phi(multiply(f,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',homomorphism2) ).
fof(f44,plain,
! [X0,X1] :
( multiply(X0,X1,sK1(X0,X1)) != X1
| ~ group_member(X1,X0)
| left_zero(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP194+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n010.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 22:12:44 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.43 % (15448)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 (3000ds/467Mi)
% 0.20/0.44 % (15440)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.45 % (15431)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.47 % (15431)Instruction limit reached!
% 0.20/0.47 % (15431)------------------------------
% 0.20/0.47 % (15431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (15431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (15431)Termination reason: Unknown
% 0.20/0.47 % (15431)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (15431)Memory used [KB]: 5500
% 0.20/0.47 % (15431)Time elapsed: 0.077 s
% 0.20/0.47 % (15431)Instructions burned: 9 (million)
% 0.20/0.47 % (15431)------------------------------
% 0.20/0.47 % (15431)------------------------------
% 0.20/0.48 % (15444)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 (3000ds/100Mi)
% 0.20/0.48 % (15429)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 (3000ds/48Mi)
% 0.20/0.49 % (15445)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.20/0.49 % (15425)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.49 % (15455)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 (3000ds/355Mi)
% 0.20/0.49 % (15427)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.49 % (15454)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.49 % (15438)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.49 % (15430)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.49 % (15434)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.50 % (15428)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50 % (15436)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.50 % (15426)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 (3000ds/37Mi)
% 0.20/0.50 % (15433)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 (3000ds/51Mi)
% 0.20/0.50 % (15435)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.50 % (15425)Refutation not found, incomplete strategy% (15425)------------------------------
% 0.20/0.50 % (15425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (15446)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.50 % (15424)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 (3000ds/191324Mi)
% 0.20/0.50 % (15425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (15425)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (15425)Memory used [KB]: 5373
% 0.20/0.50 % (15425)Time elapsed: 0.121 s
% 0.20/0.50 % (15425)Instructions burned: 2 (million)
% 0.20/0.50 % (15425)------------------------------
% 0.20/0.50 % (15425)------------------------------
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.51 % (15453)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 (3000ds/177Mi)
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (15442)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 % (15451)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.51 % (15428)First to succeed.
% 0.20/0.51 TRYING [2]
% 0.20/0.51 % (15428)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (15428)------------------------------
% 0.20/0.51 % (15428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (15428)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (15428)Memory used [KB]: 5628
% 0.20/0.51 % (15428)Time elapsed: 0.121 s
% 0.20/0.51 % (15428)Instructions burned: 9 (million)
% 0.20/0.51 % (15428)------------------------------
% 0.20/0.51 % (15428)------------------------------
% 0.20/0.51 % (15422)Success in time 0.173 s
%------------------------------------------------------------------------------