TSTP Solution File: GRP012-3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP012-3 : 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_sat --cores 0 -t %d %s
% Computer : n011.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 16:18:55 EDT 2022
% Result : Unsatisfiable 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 19 unt; 0 def)
% Number of atoms : 45 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f636,plain,
$false,
inference(trivial_inequality_removal,[],[f635]) ).
fof(f635,plain,
inverse(multiply(a,b)) != inverse(multiply(a,b)),
inference(backward_demodulation,[],[f9,f627]) ).
fof(f627,plain,
! [X11,X12] : inverse(multiply(X12,X11)) = multiply(inverse(X11),inverse(X12)),
inference(superposition,[],[f147,f347]) ).
fof(f347,plain,
! [X6,X7] : multiply(X7,inverse(multiply(X6,X7))) = inverse(X6),
inference(superposition,[],[f259,f147]) ).
fof(f259,plain,
! [X2,X1] : multiply(multiply(X2,X1),inverse(X1)) = X2,
inference(superposition,[],[f239,f89]) ).
fof(f89,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(resolution,[],[f84,f38]) ).
fof(f38,plain,
! [X2,X1] :
( ~ product(X1,identity,X2)
| X1 = X2 ),
inference(resolution,[],[f2,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f84,plain,
! [X1] : product(X1,identity,inverse(inverse(X1))),
inference(resolution,[],[f61,f4]) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f61,plain,
! [X8,X7] :
( ~ product(X7,X8,identity)
| product(X7,identity,inverse(X8)) ),
inference(resolution,[],[f49,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f49,plain,
! [X6,X7,X4,X5] :
( ~ product(X6,inverse(X7),X5)
| ~ product(X4,X7,X6)
| product(X4,identity,X5) ),
inference(resolution,[],[f7,f4]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| product(X0,X5,X3)
| ~ product(X4,X2,X3)
| ~ product(X0,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f239,plain,
! [X11,X12] : multiply(multiply(X11,inverse(X12)),X12) = X11,
inference(forward_demodulation,[],[f216,f37]) ).
fof(f37,plain,
! [X0] : multiply(X0,identity) = X0,
inference(resolution,[],[f2,f12]) ).
fof(f12,plain,
! [X6,X4,X5] :
( ~ product(X4,X5,X6)
| multiply(X4,X5) = X6 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
fof(f216,plain,
! [X11,X12] : multiply(multiply(X11,inverse(X12)),X12) = multiply(X11,identity),
inference(resolution,[],[f136,f12]) ).
fof(f136,plain,
! [X2,X1] : product(X1,identity,multiply(multiply(X1,inverse(X2)),X2)),
inference(resolution,[],[f55,f5]) ).
fof(f55,plain,
! [X6,X4,X5] :
( ~ product(multiply(X4,inverse(X5)),X5,X6)
| product(X4,identity,X6) ),
inference(resolution,[],[f48,f5]) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,inverse(X3),X2)
| ~ product(X2,X3,X1)
| product(X0,identity,X1) ),
inference(resolution,[],[f7,f3]) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f147,plain,
! [X10,X9] : multiply(inverse(X9),multiply(X9,X10)) = X10,
inference(resolution,[],[f129,f12]) ).
fof(f129,plain,
! [X0,X1] : product(inverse(X0),multiply(X0,X1),X1),
inference(resolution,[],[f66,f3]) ).
fof(f66,plain,
! [X10,X11,X12] :
( ~ product(X10,X11,identity)
| product(X10,multiply(X11,X12),X12) ),
inference(resolution,[],[f50,f1]) ).
fof(f50,plain,
! [X10,X11,X8,X9,X12] :
( ~ product(X12,X10,X11)
| ~ product(X8,X9,X12)
| product(X8,multiply(X9,X10),X11) ),
inference(resolution,[],[f7,f5]) ).
fof(f9,axiom,
inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_of_product_is_product_of_inverses) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP012-3 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n011.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 22:04:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (30532)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.48 % (30542)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.49 % (30528)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 (2999ds/51Mi)
% 0.18/0.49 % (30531)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.49 % (30520)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (30541)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 (2999ds/176Mi)
% 0.18/0.50 % (30520)Refutation not found, incomplete strategy% (30520)------------------------------
% 0.18/0.50 % (30520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (30520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (30520)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (30520)Memory used [KB]: 5373
% 0.18/0.50 % (30520)Time elapsed: 0.104 s
% 0.18/0.50 % (30520)Instructions burned: 3 (million)
% 0.18/0.50 % (30520)------------------------------
% 0.18/0.50 % (30520)------------------------------
% 0.18/0.50 % (30538)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.50 TRYING [1]
% 0.18/0.50 TRYING [2]
% 0.18/0.50 % (30526)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 TRYING [3]
% 0.18/0.50 % (30548)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 (2999ds/177Mi)
% 0.18/0.51 % (30524)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 (2999ds/48Mi)
% 0.18/0.51 % (30535)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 (2999ds/75Mi)
% 0.18/0.51 TRYING [4]
% 0.18/0.51 % (30533)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51 % (30540)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 (2999ds/100Mi)
% 0.18/0.51 % (30550)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 (2999ds/355Mi)
% 0.18/0.51 % (30522)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (30544)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 (2999ds/467Mi)
% 0.18/0.51 % (30525)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (30545)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51 TRYING [1]
% 0.18/0.51 % (30521)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 (2999ds/37Mi)
% 0.18/0.51 TRYING [2]
% 0.18/0.52 TRYING [3]
% 0.18/0.52 TRYING [4]
% 0.18/0.52 % (30530)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (30519)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 (2999ds/191324Mi)
% 0.18/0.52 % (30537)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 (2999ds/99Mi)
% 0.18/0.52 TRYING [1]
% 0.18/0.52 TRYING [2]
% 0.18/0.52 TRYING [3]
% 0.18/0.52 % (30549)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 TRYING [4]
% 0.18/0.52 % (30543)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.52 % (30523)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (30527)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (30526)Instruction limit reached!
% 0.18/0.52 % (30526)------------------------------
% 0.18/0.52 % (30526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (30526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (30526)Termination reason: Unknown
% 0.18/0.52 % (30526)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (30526)Memory used [KB]: 5500
% 0.18/0.52 % (30526)Time elapsed: 0.109 s
% 0.18/0.52 % (30526)Instructions burned: 7 (million)
% 0.18/0.52 % (30526)------------------------------
% 0.18/0.52 % (30526)------------------------------
% 0.18/0.53 % (30527)Instruction limit reached!
% 0.18/0.53 % (30527)------------------------------
% 0.18/0.53 % (30527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (30527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (30527)Termination reason: Unknown
% 0.18/0.53 % (30527)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (30527)Memory used [KB]: 5373
% 0.18/0.53 % (30527)Time elapsed: 0.140 s
% 0.18/0.53 % (30527)Instructions burned: 3 (million)
% 0.18/0.53 % (30527)------------------------------
% 0.18/0.53 % (30527)------------------------------
% 0.18/0.53 % (30546)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53 % (30547)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 (2999ds/68Mi)
% 0.18/0.53 TRYING [5]
% 0.18/0.53 % (30539)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54 % (30534)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 (2999ds/68Mi)
% 0.18/0.54 % (30544)First to succeed.
% 0.18/0.54 % (30544)Refutation found. Thanks to Tanya!
% 0.18/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.54 % (30544)------------------------------
% 0.18/0.54 % (30544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (30544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (30544)Termination reason: Refutation
% 0.18/0.54
% 0.18/0.54 % (30544)Memory used [KB]: 5628
% 0.18/0.54 % (30544)Time elapsed: 0.117 s
% 0.18/0.54 % (30544)Instructions burned: 23 (million)
% 0.18/0.54 % (30544)------------------------------
% 0.18/0.54 % (30544)------------------------------
% 0.18/0.54 % (30514)Success in time 0.199 s
%------------------------------------------------------------------------------