TSTP Solution File: GRP449-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP449-1 : 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 : n013.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 16:22:33 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 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 : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f331,plain,
$false,
inference(subsumption_resolution,[],[f330,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,
multiply(sF0,b2) = sF1,
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/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f330,plain,
a2 = sF2,
inference(backward_demodulation,[],[f7,f308]) ).
fof(f308,plain,
! [X1] : multiply(sF1,X1) = X1,
inference(backward_demodulation,[],[f39,f305]) ).
fof(f305,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f295,f283]) ).
fof(f283,plain,
! [X4] : multiply(X4,sF1) = X4,
inference(forward_demodulation,[],[f272,f226]) ).
fof(f226,plain,
! [X1] : divide(X1,sF1) = X1,
inference(superposition,[],[f10,f75]) ).
fof(f75,plain,
! [X3] : divide(X3,X3) = sF1,
inference(forward_demodulation,[],[f66,f48]) ).
fof(f48,plain,
! [X2,X3] : divide(X3,divide(inverse(X2),divide(inverse(X3),X2))) = sF1,
inference(superposition,[],[f10,f38]) ).
fof(f38,plain,
! [X0] : inverse(X0) = divide(inverse(sF1),X0),
inference(superposition,[],[f3,f35]) ).
fof(f35,plain,
! [X0] : inverse(X0) = divide(sF1,X0),
inference(superposition,[],[f3,f34]) ).
fof(f34,plain,
divide(sF0,sF0) = sF1,
inference(superposition,[],[f6,f13]) ).
fof(f13,plain,
! [X0] : multiply(X0,b2) = divide(X0,sF0),
inference(superposition,[],[f11,f5]) ).
fof(f11,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/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : divide(divide(X1,X1),X0) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f66,plain,
! [X3,X4,X5] : divide(X5,divide(inverse(X4),divide(inverse(X5),X4))) = divide(X3,X3),
inference(superposition,[],[f10,f12]) ).
fof(f12,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(divide(divide(X1,X1),X0),X2))) = X1,
inference(backward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(divide(divide(X1,X1),X0),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f272,plain,
! [X4] : multiply(X4,sF1) = divide(X4,sF1),
inference(superposition,[],[f11,f243]) ).
fof(f243,plain,
inverse(sF1) = sF1,
inference(backward_demodulation,[],[f115,f221]) ).
fof(f221,plain,
! [X0] : multiply(inverse(X0),X0) = sF1,
inference(superposition,[],[f75,f11]) ).
fof(f115,plain,
! [X0] : inverse(multiply(inverse(X0),X0)) = sF1,
inference(superposition,[],[f29,f38]) ).
fof(f29,plain,
! [X2,X1] : inverse(multiply(divide(inverse(X1),X2),X2)) = X1,
inference(forward_demodulation,[],[f28,f11]) ).
fof(f28,plain,
! [X2,X1] : inverse(divide(divide(inverse(X1),X2),inverse(X2))) = X1,
inference(forward_demodulation,[],[f25,f12]) ).
fof(f25,plain,
! [X2,X0,X1] : inverse(divide(divide(inverse(X1),X2),divide(inverse(divide(X0,X0)),X2))) = X1,
inference(superposition,[],[f3,f10]) ).
fof(f295,plain,
! [X2] : inverse(multiply(inverse(X2),sF1)) = X2,
inference(superposition,[],[f29,f226]) ).
fof(f39,plain,
! [X1] : multiply(sF1,X1) = inverse(inverse(X1)),
inference(superposition,[],[f11,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP449-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % 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 : n013.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 22:25:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (11300)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.51 % (11286)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.52 % (11285)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)
% 0.20/0.52 % (11301)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)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 % (11293)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)
% 0.20/0.52 % (11289)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.52 % (11308)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)
% 0.20/0.52 % (11306)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)
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (11298)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)
% 0.20/0.52 % (11290)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)
% 0.20/0.53 TRYING [4]
% 0.20/0.53 % (11287)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.53 % (11288)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)
% 0.20/0.53 % (11287)Instruction limit reached!
% 0.20/0.53 % (11287)------------------------------
% 0.20/0.53 % (11287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (11287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (11287)Termination reason: Unknown
% 0.20/0.53 % (11287)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (11287)Memory used [KB]: 5373
% 0.20/0.53 % (11287)Time elapsed: 0.124 s
% 0.20/0.53 % (11287)Instructions burned: 2 (million)
% 0.20/0.53 % (11287)------------------------------
% 0.20/0.53 % (11287)------------------------------
% 0.20/0.54 % (11299)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)
% 0.20/0.54 % (11284)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)
% 0.20/0.54 % (11279)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (11303)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.55 % (11297)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.55 % (11280)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)
% 0.20/0.55 % (11295)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)
% 0.20/0.55 % (11286)Instruction limit reached!
% 0.20/0.55 % (11286)------------------------------
% 0.20/0.55 % (11286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (11286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (11286)Termination reason: Unknown
% 0.20/0.55 % (11286)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (11286)Memory used [KB]: 5500
% 0.20/0.55 % (11286)Time elapsed: 0.144 s
% 0.20/0.55 % (11286)Instructions burned: 7 (million)
% 0.20/0.55 % (11286)------------------------------
% 0.20/0.55 % (11286)------------------------------
% 0.20/0.55 % (11292)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.55 % (11282)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)
% 0.20/0.55 % (11306)First to succeed.
% 0.20/0.55 % (11281)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)
% 0.20/0.55 % (11307)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.55 % (11302)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)
% 0.20/0.55 % (11306)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (11306)------------------------------
% 0.20/0.55 % (11306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (11306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (11306)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (11306)Memory used [KB]: 1279
% 0.20/0.55 % (11306)Time elapsed: 0.136 s
% 0.20/0.55 % (11306)Instructions burned: 18 (million)
% 0.20/0.55 % (11306)------------------------------
% 0.20/0.55 % (11306)------------------------------
% 0.20/0.55 % (11275)Success in time 0.201 s
%------------------------------------------------------------------------------