TSTP Solution File: GRP446-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n012.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 16:22:32 EDT 2022
% Result : Unsatisfiable 0.15s 0.49s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f273,plain,
$false,
inference(subsumption_resolution,[],[f265,f8]) ).
fof(f8,plain,
a2 != sF2,
inference(definition_folding,[],[f4,f7,f6,f5]) ).
fof(f5,plain,
inverse(b2) = sF0,
introduced(function_definition,[]) ).
fof(f6,plain,
sF1 = multiply(sF0,b2),
introduced(function_definition,[]) ).
fof(f7,plain,
sF2 = multiply(sF1,a2),
introduced(function_definition,[]) ).
fof(f4,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f265,plain,
a2 = sF2,
inference(superposition,[],[f28,f237]) ).
fof(f237,plain,
! [X5] : inverse(inverse(X5)) = X5,
inference(forward_demodulation,[],[f236,f118]) ).
fof(f118,plain,
! [X5] : multiply(X5,sF1) = X5,
inference(forward_demodulation,[],[f114,f96]) ).
fof(f96,plain,
! [X5] : divide(X5,sF1) = X5,
inference(superposition,[],[f11,f80]) ).
fof(f80,plain,
! [X3] : divide(X3,X3) = sF1,
inference(forward_demodulation,[],[f75,f35]) ).
fof(f35,plain,
! [X0,X1] : divide(X1,divide(inverse(X0),divide(inverse(X1),X0))) = sF1,
inference(superposition,[],[f11,f21]) ).
fof(f21,plain,
! [X0] : inverse(X0) = divide(inverse(sF1),X0),
inference(superposition,[],[f3,f19]) ).
fof(f19,plain,
! [X0] : inverse(X0) = divide(sF1,X0),
inference(superposition,[],[f3,f17]) ).
fof(f17,plain,
divide(sF0,sF0) = sF1,
inference(superposition,[],[f13,f6]) ).
fof(f13,plain,
! [X0] : divide(X0,sF0) = multiply(X0,b2),
inference(superposition,[],[f9,f5]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f75,plain,
! [X3,X4,X5] : divide(X3,X3) = divide(X5,divide(inverse(X4),divide(inverse(X5),X4))),
inference(superposition,[],[f11,f12]) ).
fof(f12,plain,
! [X0,X1] : divide(inverse(divide(X0,X0)),X1) = inverse(X1),
inference(superposition,[],[f3,f3]) ).
fof(f11,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f114,plain,
! [X5] : multiply(X5,sF1) = divide(X5,sF1),
inference(superposition,[],[f9,f104]) ).
fof(f104,plain,
sF1 = inverse(sF1),
inference(forward_demodulation,[],[f89,f80]) ).
fof(f89,plain,
! [X2] : sF1 = inverse(divide(X2,X2)),
inference(superposition,[],[f80,f3]) ).
fof(f236,plain,
! [X5] : inverse(multiply(inverse(X5),sF1)) = X5,
inference(forward_demodulation,[],[f225,f88]) ).
fof(f88,plain,
! [X0] : multiply(inverse(X0),X0) = sF1,
inference(superposition,[],[f80,f9]) ).
fof(f225,plain,
! [X4,X5] : inverse(multiply(inverse(X5),multiply(inverse(X4),X4))) = X5,
inference(superposition,[],[f109,f15]) ).
fof(f15,plain,
! [X0,X1] : inverse(X1) = divide(multiply(inverse(X0),X0),X1),
inference(superposition,[],[f3,f9]) ).
fof(f109,plain,
! [X8,X9] : divide(X8,multiply(inverse(X9),X8)) = X9,
inference(forward_demodulation,[],[f108,f9]) ).
fof(f108,plain,
! [X8,X9] : divide(X8,divide(inverse(X9),inverse(X8))) = X9,
inference(forward_demodulation,[],[f99,f96]) ).
fof(f99,plain,
! [X8,X9] : divide(X8,divide(divide(inverse(X9),inverse(X8)),sF1)) = X9,
inference(superposition,[],[f11,f80]) ).
fof(f28,plain,
inverse(inverse(a2)) = sF2,
inference(superposition,[],[f7,f22]) ).
fof(f22,plain,
! [X1] : inverse(inverse(X1)) = multiply(sF1,X1),
inference(superposition,[],[f9,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% 0.09/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Aug 29 22:28:36 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.44 % (5556)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 (3000ds/68Mi)
% 0.15/0.44 % (5552)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.15/0.45 % (5558)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 (3000ds/99Mi)
% 0.15/0.45 % (5557)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)
% 0.15/0.46 % (5564)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 (3000ds/498Mi)
% 0.15/0.46 % (5555)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.15/0.46 % (5550)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.47 % (5542)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)
% 0.15/0.47 % (5568)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 (3000ds/68Mi)
% 0.15/0.47 % (5571)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)
% 0.15/0.47 % (5547)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)
% 0.15/0.47 % (5563)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.15/0.47 % (5555)First to succeed.
% 0.15/0.47 % (5566)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.15/0.47 % (5560)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.15/0.47 TRYING [1]
% 0.15/0.48 % (5550)Instruction limit reached!
% 0.15/0.48 % (5550)------------------------------
% 0.15/0.48 % (5550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (5550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (5550)Termination reason: Unknown
% 0.15/0.48 % (5550)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (5550)Memory used [KB]: 5373
% 0.15/0.48 % (5550)Time elapsed: 0.113 s
% 0.15/0.48 % (5550)Instructions burned: 2 (million)
% 0.15/0.48 % (5550)------------------------------
% 0.15/0.48 % (5550)------------------------------
% 0.15/0.48 % (5565)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)
% 0.15/0.48 TRYING [2]
% 0.15/0.48 TRYING [3]
% 0.15/0.49 TRYING [4]
% 0.15/0.49 % (5557)Also succeeded, but the first one will report.
% 0.15/0.49 % (5555)Refutation found. Thanks to Tanya!
% 0.15/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49 % (5555)------------------------------
% 0.15/0.49 % (5555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (5555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (5555)Termination reason: Refutation
% 0.15/0.49
% 0.15/0.49 % (5555)Memory used [KB]: 5500
% 0.15/0.49 % (5555)Time elapsed: 0.098 s
% 0.15/0.49 % (5555)Instructions burned: 10 (million)
% 0.15/0.49 % (5555)------------------------------
% 0.15/0.49 % (5555)------------------------------
% 0.15/0.49 % (5541)Success in time 0.181 s
%------------------------------------------------------------------------------