TSTP Solution File: GRP093-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP093-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n023.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 16:20:11 EDT 2022
% Result : Unsatisfiable 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 37 unt; 0 def)
% Number of atoms : 67 ( 66 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 36 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f721,plain,
$false,
inference(trivial_inequality_removal,[],[f720]) ).
fof(f720,plain,
divide(a3,divide(divide(identity,b3),c3)) != divide(a3,divide(divide(identity,b3),c3)),
inference(forward_demodulation,[],[f713,f55]) ).
fof(f55,plain,
! [X2,X3] : divide(divide(identity,X2),X3) = divide(divide(identity,X3),X2),
inference(superposition,[],[f11,f34]) ).
fof(f34,plain,
! [X3,X4] : divide(X3,divide(X3,X4)) = X4,
inference(backward_demodulation,[],[f14,f31]) ).
fof(f31,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f23,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f23,plain,
! [X0] : divide(divide(identity,identity),divide(identity,X0)) = X0,
inference(superposition,[],[f14,f4]) ).
fof(f14,plain,
! [X3,X4] : divide(divide(identity,divide(identity,X3)),divide(X3,X4)) = X4,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f11,plain,
! [X0,X1] : divide(divide(identity,divide(divide(identity,X1),X0)),X1) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f713,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(a3,divide(divide(identity,b3),c3)),
inference(backward_demodulation,[],[f650,f693]) ).
fof(f693,plain,
! [X31,X30] : divide(X30,X31) = divide(identity,divide(X31,X30)),
inference(forward_demodulation,[],[f668,f29]) ).
fof(f29,plain,
! [X0,X1] : divide(X0,X1) = divide(divide(identity,X1),divide(identity,X0)),
inference(superposition,[],[f11,f14]) ).
fof(f668,plain,
! [X31,X30] : divide(identity,divide(X31,X30)) = divide(divide(identity,X31),divide(identity,X30)),
inference(superposition,[],[f645,f84]) ).
fof(f84,plain,
! [X4,X5] : divide(identity,X4) = divide(divide(identity,X5),divide(X4,X5)),
inference(superposition,[],[f18,f34]) ).
fof(f18,plain,
! [X0,X1] : divide(divide(identity,X1),divide(divide(identity,X0),X1)) = X0,
inference(superposition,[],[f11,f11]) ).
fof(f645,plain,
! [X16,X15] : divide(identity,X16) = divide(divide(X15,X16),X15),
inference(forward_demodulation,[],[f619,f33]) ).
fof(f33,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[],[f17,f31]) ).
fof(f17,plain,
! [X0] : divide(divide(identity,divide(identity,X0)),identity) = X0,
inference(superposition,[],[f11,f4]) ).
fof(f619,plain,
! [X16,X15] : divide(divide(identity,X16),identity) = divide(divide(X15,X16),X15),
inference(superposition,[],[f38,f33]) ).
fof(f38,plain,
! [X2,X0,X1] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,X1),X2),
inference(backward_demodulation,[],[f13,f33]) ).
fof(f13,plain,
! [X2,X0,X1] : divide(divide(divide(X0,X1),X2),X0) = divide(divide(identity,divide(X1,identity)),X2),
inference(superposition,[],[f1,f1]) ).
fof(f650,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(a3,divide(divide(identity,b3),c3)),
inference(backward_demodulation,[],[f644,f634]) ).
fof(f634,plain,
! [X16,X14,X15] : divide(X14,divide(divide(identity,X15),X16)) = divide(identity,divide(divide(divide(identity,X14),X15),X16)),
inference(superposition,[],[f228,f38]) ).
fof(f228,plain,
! [X14,X15] : divide(identity,X14) = divide(X15,divide(X14,divide(identity,X15))),
inference(superposition,[],[f29,f62]) ).
fof(f62,plain,
! [X4,X5] : divide(divide(identity,divide(X4,X5)),X5) = divide(identity,X4),
inference(superposition,[],[f37,f34]) ).
fof(f37,plain,
! [X2,X1] : divide(divide(identity,divide(divide(identity,X1),X2)),X2) = X1,
inference(backward_demodulation,[],[f15,f33]) ).
fof(f15,plain,
! [X2,X1] : divide(divide(identity,divide(divide(identity,divide(X1,identity)),X2)),X2) = X1,
inference(backward_demodulation,[],[f1,f13]) ).
fof(f644,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(identity,divide(divide(divide(identity,a3),b3),c3)),
inference(forward_demodulation,[],[f643,f55]) ).
fof(f643,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(identity,divide(divide(divide(identity,b3),a3),c3)),
inference(backward_demodulation,[],[f118,f642]) ).
fof(f642,plain,
! [X38,X39,X37] : divide(identity,divide(divide(X39,X38),X37)) = divide(divide(X38,X39),divide(identity,X37)),
inference(backward_demodulation,[],[f608,f631]) ).
fof(f631,plain,
! [X3,X4,X5] : divide(divide(identity,divide(divide(identity,X4),X5)),X3) = divide(identity,divide(divide(X3,X4),X5)),
inference(superposition,[],[f62,f38]) ).
fof(f608,plain,
! [X38,X39,X37] : divide(divide(identity,divide(divide(identity,X38),X37)),X39) = divide(divide(X38,X39),divide(identity,X37)),
inference(superposition,[],[f38,f18]) ).
fof(f118,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
inference(trivial_inequality_removal,[],[f117]) ).
fof(f117,plain,
( divide(a4,divide(identity,b4)) != divide(a4,divide(identity,b4))
| divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)) ),
inference(backward_demodulation,[],[f35,f100]) ).
fof(f100,plain,
! [X2,X3] : divide(X2,divide(identity,X3)) = divide(X3,divide(identity,X2)),
inference(superposition,[],[f29,f31]) ).
fof(f35,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3))
| divide(b4,divide(identity,a4)) != divide(a4,divide(identity,b4)) ),
inference(trivial_inequality_removal,[],[f32]) ).
fof(f32,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3))
| a2 != a2
| divide(b4,divide(identity,a4)) != divide(a4,divide(identity,b4)) ),
inference(backward_demodulation,[],[f10,f31]) ).
fof(f10,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3))
| divide(b4,divide(identity,a4)) != divide(a4,divide(identity,b4))
| a2 != divide(identity,divide(identity,a2)) ),
inference(trivial_inequality_removal,[],[f9]) ).
fof(f9,plain,
( divide(b4,divide(identity,a4)) != divide(a4,divide(identity,b4))
| a2 != divide(identity,divide(identity,a2))
| divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3))
| identity != identity ),
inference(forward_demodulation,[],[f8,f4]) ).
fof(f8,plain,
( divide(b4,divide(identity,a4)) != divide(a4,divide(identity,b4))
| identity != divide(divide(identity,b1),divide(identity,b1))
| a2 != divide(identity,divide(identity,a2))
| divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)) ),
inference(forward_demodulation,[],[f7,f4]) ).
fof(f7,plain,
( a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(b4,divide(identity,a4)) != divide(a4,divide(identity,b4))
| identity != divide(divide(identity,b1),divide(identity,b1))
| divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)) ),
inference(backward_demodulation,[],[f6,f4]) ).
fof(f6,plain,
( divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3))
| a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(b4,divide(identity,a4)) != divide(a4,divide(identity,b4))
| divide(divide(identity,b1),divide(identity,b1)) != divide(divide(identity,a1),divide(identity,a1)) ),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2,f2,f3,f2,f3,f2,f2,f3,f2,f2]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP093-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.12 % 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 : n023.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 22:33:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 % (25290)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)
% 0.18/0.46 TRYING [1]
% 0.18/0.46 TRYING [2]
% 0.18/0.46 TRYING [3]
% 0.18/0.46 % (25304)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)
% 0.18/0.47 % (25310)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.47 % (25294)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)
% 0.18/0.47 % (25300)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.47 TRYING [4]
% 0.18/0.47 TRYING [1]
% 0.18/0.48 % (25300)Instruction limit reached!
% 0.18/0.48 % (25300)------------------------------
% 0.18/0.48 % (25300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (25309)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)
% 0.18/0.49 % (25301)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 TRYING [2]
% 0.18/0.49 TRYING [3]
% 0.18/0.49 % (25300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (25300)Termination reason: Unknown
% 0.18/0.49 % (25300)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (25300)Memory used [KB]: 5373
% 0.18/0.49 % (25300)Time elapsed: 0.109 s
% 0.18/0.49 % (25300)Instructions burned: 3 (million)
% 0.18/0.49 % (25300)------------------------------
% 0.18/0.49 % (25300)------------------------------
% 0.18/0.49 TRYING [4]
% 0.18/0.50 % (25308)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)
% 0.18/0.50 % (25305)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50 % (25291)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 % (25295)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (25317)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.50 % (25316)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 TRYING [5]
% 0.18/0.51 % (25318)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.51 % (25315)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)
% 0.18/0.51 % (25297)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 TRYING [1]
% 0.18/0.51 TRYING [2]
% 0.18/0.51 TRYING [3]
% 0.18/0.51 % (25296)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)
% 0.18/0.52 % (25292)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)
% 0.18/0.52 TRYING [4]
% 0.18/0.52 % (25303)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 % (25311)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52 % (25322)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)
% 0.18/0.52 % (25307)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 % (25314)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53 % (25298)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53 % (25321)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53 % (25310)Instruction limit reached!
% 0.18/0.53 % (25310)------------------------------
% 0.18/0.53 % (25310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (25310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (25310)Termination reason: Unknown
% 0.18/0.53 % (25310)Termination phase: Finite model building SAT solving
% 0.18/0.53
% 0.18/0.53 % (25310)Memory used [KB]: 6780
% 0.18/0.53 % (25310)Time elapsed: 0.147 s
% 0.18/0.53 % (25310)Instructions burned: 59 (million)
% 0.18/0.53 % (25310)------------------------------
% 0.18/0.53 % (25310)------------------------------
% 0.18/0.53 % (25320)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)
% 0.18/0.53 % (25313)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)
% 0.18/0.53 % (25306)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53 % (25298)Instruction limit reached!
% 0.18/0.53 % (25298)------------------------------
% 0.18/0.53 % (25298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (25298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (25298)Termination reason: Unknown
% 0.18/0.53 % (25298)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (25298)Memory used [KB]: 5500
% 0.18/0.53 % (25298)Time elapsed: 0.127 s
% 0.18/0.53 % (25298)Instructions burned: 7 (million)
% 0.18/0.53 % (25298)------------------------------
% 0.18/0.53 % (25298)------------------------------
% 0.18/0.53 % (25312)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)
% 0.18/0.53 % (25319)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 % (25301)First to succeed.
% 0.18/0.53 % (25301)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (25301)------------------------------
% 0.18/0.53 % (25301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (25301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (25301)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (25301)Memory used [KB]: 1407
% 0.18/0.53 % (25301)Time elapsed: 0.118 s
% 0.18/0.53 % (25301)Instructions burned: 33 (million)
% 0.18/0.53 % (25301)------------------------------
% 0.18/0.53 % (25301)------------------------------
% 0.18/0.53 % (25285)Success in time 0.194 s
%------------------------------------------------------------------------------