TSTP Solution File: GRP193-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP193-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n001.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 : Unsatisfiable 1.64s 0.59s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f417,plain,
$false,
inference(subsumption_resolution,[],[f416,f21]) ).
fof(f21,axiom,
greatest_lower_bound(a,multiply(b,c)) != greatest_lower_bound(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p8_9a) ).
fof(f416,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,c),
inference(forward_demodulation,[],[f415,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f415,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,multiply(identity,c)),
inference(forward_demodulation,[],[f414,f31]) ).
fof(f31,plain,
identity = greatest_lower_bound(identity,b),
inference(superposition,[],[f11,f17]) ).
fof(f17,axiom,
b = least_upper_bound(identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_9a_2) ).
fof(f11,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f414,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,multiply(greatest_lower_bound(identity,b),c)),
inference(forward_demodulation,[],[f413,f4]) ).
fof(f4,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_glb) ).
fof(f413,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,multiply(greatest_lower_bound(b,identity),c)),
inference(backward_demodulation,[],[f208,f412]) ).
fof(f412,plain,
! [X4,X5] : multiply(greatest_lower_bound(X5,identity),X4) = greatest_lower_bound(X4,multiply(X5,X4)),
inference(forward_demodulation,[],[f394,f4]) ).
fof(f394,plain,
! [X4,X5] : multiply(greatest_lower_bound(X5,identity),X4) = greatest_lower_bound(multiply(X5,X4),X4),
inference(superposition,[],[f15,f1]) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_glb2) ).
fof(f208,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(c,multiply(b,c))),
inference(forward_demodulation,[],[f207,f130]) ).
fof(f130,plain,
! [X10,X8,X9] : greatest_lower_bound(X8,greatest_lower_bound(X9,X10)) = greatest_lower_bound(X10,greatest_lower_bound(X8,X9)),
inference(superposition,[],[f6,f4]) ).
fof(f6,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_glb) ).
fof(f207,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(c,greatest_lower_bound(multiply(b,c),a)),
inference(forward_demodulation,[],[f206,f130]) ).
fof(f206,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(multiply(b,c),greatest_lower_bound(a,c)),
inference(forward_demodulation,[],[f205,f147]) ).
fof(f147,plain,
! [X10,X8,X9] : greatest_lower_bound(X9,greatest_lower_bound(X8,X10)) = greatest_lower_bound(X8,greatest_lower_bound(X9,greatest_lower_bound(X8,X10))),
inference(forward_demodulation,[],[f119,f6]) ).
fof(f119,plain,
! [X10,X8,X9] : greatest_lower_bound(X8,greatest_lower_bound(greatest_lower_bound(X9,X8),X10)) = greatest_lower_bound(greatest_lower_bound(X9,X8),X10),
inference(superposition,[],[f6,f69]) ).
fof(f69,plain,
! [X8,X7] : greatest_lower_bound(X8,X7) = greatest_lower_bound(X7,greatest_lower_bound(X8,X7)),
inference(forward_demodulation,[],[f66,f4]) ).
fof(f66,plain,
! [X8,X7] : greatest_lower_bound(X8,X7) = greatest_lower_bound(greatest_lower_bound(X8,X7),X7),
inference(superposition,[],[f34,f27]) ).
fof(f27,plain,
! [X2,X1] : least_upper_bound(X1,greatest_lower_bound(X2,X1)) = X1,
inference(superposition,[],[f10,f4]) ).
fof(f10,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lub_absorbtion) ).
fof(f34,plain,
! [X2,X1] : greatest_lower_bound(X1,least_upper_bound(X2,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f205,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),greatest_lower_bound(a,c))),
inference(forward_demodulation,[],[f204,f130]) ).
fof(f204,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(multiply(b,c),greatest_lower_bound(greatest_lower_bound(a,c),a)),
inference(forward_demodulation,[],[f203,f130]) ).
fof(f203,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(greatest_lower_bound(a,c),greatest_lower_bound(a,multiply(b,c))),
inference(forward_demodulation,[],[f201,f4]) ).
fof(f201,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(greatest_lower_bound(a,multiply(b,c)),greatest_lower_bound(a,c)),
inference(superposition,[],[f34,f24]) ).
fof(f24,plain,
greatest_lower_bound(a,c) = least_upper_bound(greatest_lower_bound(a,c),greatest_lower_bound(a,multiply(b,c))),
inference(backward_demodulation,[],[f23,f1]) ).
fof(f23,plain,
multiply(identity,greatest_lower_bound(a,c)) = least_upper_bound(multiply(identity,greatest_lower_bound(a,c)),greatest_lower_bound(a,multiply(b,c))),
inference(backward_demodulation,[],[f22,f19]) ).
fof(f19,axiom,
identity = greatest_lower_bound(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_9a_4) ).
fof(f22,plain,
multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c)) = least_upper_bound(multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c)),greatest_lower_bound(a,multiply(b,c))),
inference(forward_demodulation,[],[f20,f5]) ).
fof(f20,axiom,
multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c)) = least_upper_bound(greatest_lower_bound(a,multiply(b,c)),multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_9a_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP193-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.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 22:41:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (27134)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)
% 0.20/0.50 % (27118)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (27110)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)
% 0.20/0.51 % (27129)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 % (27113)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (27113)Instruction limit reached!
% 0.20/0.51 % (27113)------------------------------
% 0.20/0.51 % (27113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (27113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (27113)Termination reason: Unknown
% 0.20/0.51 % (27113)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (27113)Memory used [KB]: 5373
% 0.20/0.51 % (27113)Time elapsed: 0.106 s
% 0.20/0.51 % (27113)Instructions burned: 3 (million)
% 0.20/0.51 % (27113)------------------------------
% 0.20/0.51 % (27113)------------------------------
% 0.20/0.52 % (27109)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (27108)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)
% 0.20/0.52 % (27127)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)
% 0.20/0.52 % (27121)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)
% 0.20/0.52 % (27105)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)
% 0.20/0.52 % (27114)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)
% 0.20/0.52 % (27107)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)
% 0.20/0.52 % (27106)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)
% 0.20/0.52 % (27119)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)
% 0.20/0.52 % (27116)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)
% 0.20/0.52 % (27115)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (27117)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (27126)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (27112)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (27125)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)
% 0.20/0.53 % (27112)Instruction limit reached!
% 0.20/0.53 % (27112)------------------------------
% 0.20/0.53 % (27112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (27112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (27112)Termination reason: Unknown
% 0.20/0.53 % (27112)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (27112)Memory used [KB]: 5500
% 0.20/0.53 % (27112)Time elapsed: 0.136 s
% 0.20/0.53 % (27112)Instructions burned: 7 (million)
% 0.20/0.53 % (27112)------------------------------
% 0.20/0.53 % (27112)------------------------------
% 0.20/0.53 % (27111)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)
% 0.20/0.53 % (27131)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)
% 0.20/0.53 % (27124)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)
% 1.52/0.54 % (27130)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.52/0.54 % (27128)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)
% 1.52/0.54 % (27123)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.54 TRYING [1]
% 1.52/0.54 % (27133)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.52/0.54 TRYING [2]
% 1.52/0.54 % (27120)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)
% 1.52/0.55 TRYING [3]
% 1.52/0.55 % (27132)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)
% 1.64/0.56 TRYING [1]
% 1.64/0.56 TRYING [2]
% 1.64/0.56 % (27122)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.64/0.56 TRYING [3]
% 1.64/0.56 TRYING [1]
% 1.64/0.57 TRYING [2]
% 1.64/0.57 TRYING [3]
% 1.64/0.59 % (27110)Instruction limit reached!
% 1.64/0.59 % (27110)------------------------------
% 1.64/0.59 % (27110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (27110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59 % (27110)Termination reason: Unknown
% 1.64/0.59 % (27110)Termination phase: Saturation
% 1.64/0.59
% 1.64/0.59 % (27110)Memory used [KB]: 6140
% 1.64/0.59 % (27110)Time elapsed: 0.176 s
% 1.64/0.59 % (27110)Instructions burned: 48 (million)
% 1.64/0.59 % (27110)------------------------------
% 1.64/0.59 % (27110)------------------------------
% 1.64/0.59 % (27128)First to succeed.
% 1.64/0.59 % (27128)Refutation found. Thanks to Tanya!
% 1.64/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.64/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.59 % (27128)------------------------------
% 1.64/0.59 % (27128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (27128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59 % (27128)Termination reason: Refutation
% 1.64/0.59
% 1.64/0.59 % (27128)Memory used [KB]: 5756
% 1.64/0.59 % (27128)Time elapsed: 0.181 s
% 1.64/0.59 % (27128)Instructions burned: 20 (million)
% 1.64/0.59 % (27128)------------------------------
% 1.64/0.59 % (27128)------------------------------
% 1.64/0.59 % (27104)Success in time 0.248 s
%------------------------------------------------------------------------------