TSTP Solution File: GRP172-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP172-2 : 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 : n028.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 16:20:41 EDT 2022
% Result : Unsatisfiable 0.15s 0.54s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 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 : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f486,plain,
$false,
inference(subsumption_resolution,[],[f485,f18]) ).
fof(f18,axiom,
multiply(a,b) != least_upper_bound(identity,multiply(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p04d) ).
fof(f485,plain,
multiply(a,b) = least_upper_bound(identity,multiply(a,b)),
inference(forward_demodulation,[],[f481,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(f481,plain,
multiply(a,b) = least_upper_bound(multiply(a,b),identity),
inference(superposition,[],[f23,f457]) ).
fof(f457,plain,
identity = greatest_lower_bound(identity,multiply(a,b)),
inference(forward_demodulation,[],[f451,f17]) ).
fof(f17,axiom,
identity = greatest_lower_bound(identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p04d_2) ).
fof(f451,plain,
greatest_lower_bound(identity,b) = greatest_lower_bound(identity,multiply(a,b)),
inference(superposition,[],[f46,f419]) ).
fof(f419,plain,
! [X16] : greatest_lower_bound(X16,multiply(a,X16)) = X16,
inference(forward_demodulation,[],[f364,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f364,plain,
! [X16] : multiply(identity,X16) = greatest_lower_bound(multiply(identity,X16),multiply(a,X16)),
inference(superposition,[],[f15,f16]) ).
fof(f16,axiom,
identity = greatest_lower_bound(identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p04d_1) ).
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(f46,plain,
! [X1] : greatest_lower_bound(identity,X1) = greatest_lower_bound(identity,greatest_lower_bound(b,X1)),
inference(superposition,[],[f6,f17]) ).
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(f23,plain,
! [X3,X4] : least_upper_bound(X3,greatest_lower_bound(X4,X3)) = X3,
inference(superposition,[],[f10,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(f10,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lub_absorbtion) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP172-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.05/0.10 % 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 : n028.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 22:27:47 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.46 % (8876)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)
% 0.15/0.47 % (8885)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)
% 0.15/0.47 % (8868)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)
% 0.15/0.48 % (8877)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)
% 0.15/0.48 TRYING [1]
% 0.15/0.48 TRYING [2]
% 0.15/0.48 % (8862)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)
% 0.15/0.48 TRYING [3]
% 0.15/0.49 % (8884)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)
% 0.15/0.49 % (8869)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.49 % (8861)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)
% 0.15/0.49 % (8875)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.50 TRYING [1]
% 0.15/0.50 % (8874)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.50 % (8873)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)
% 0.15/0.50 % (8881)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)
% 0.15/0.50 % (8864)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)
% 0.15/0.50 TRYING [2]
% 0.15/0.50 TRYING [3]
% 0.15/0.51 % (8872)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.51 % (8869)Instruction limit reached!
% 0.15/0.51 % (8869)------------------------------
% 0.15/0.51 % (8869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (8869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (8869)Termination reason: Unknown
% 0.15/0.51 % (8869)Termination phase: Saturation
% 0.15/0.51
% 0.15/0.51 % (8869)Memory used [KB]: 5500
% 0.15/0.51 % (8869)Time elapsed: 0.090 s
% 0.15/0.51 % (8869)Instructions burned: 7 (million)
% 0.15/0.51 % (8869)------------------------------
% 0.15/0.51 % (8869)------------------------------
% 0.15/0.51 % (8887)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.51 % (8867)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)
% 0.15/0.52 % (8866)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.52 % (8870)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.52 % (8878)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)
% 0.15/0.52 % (8863)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)
% 0.15/0.52 % (8888)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)
% 0.15/0.53 % (8870)Instruction limit reached!
% 0.15/0.53 % (8870)------------------------------
% 0.15/0.53 % (8870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (8870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (8870)Termination reason: Unknown
% 0.15/0.53 % (8870)Termination phase: Saturation
% 0.15/0.53
% 0.15/0.53 % (8870)Memory used [KB]: 5373
% 0.15/0.53 % (8870)Time elapsed: 0.165 s
% 0.15/0.53 % (8870)Instructions burned: 3 (million)
% 0.15/0.53 % (8870)------------------------------
% 0.15/0.53 % (8870)------------------------------
% 0.15/0.53 % (8871)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)
% 0.15/0.53 % (8886)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.53 % (8879)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.53 % (8880)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.54 % (8883)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.54 % (8890)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.15/0.54 TRYING [1]
% 0.15/0.54 TRYING [2]
% 0.15/0.54 % (8885)First to succeed.
% 0.15/0.54 TRYING [3]
% 0.15/0.54 % (8885)Refutation found. Thanks to Tanya!
% 0.15/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.54 % (8885)------------------------------
% 0.15/0.54 % (8885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54 % (8885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (8885)Termination reason: Refutation
% 0.15/0.54
% 0.15/0.54 % (8885)Memory used [KB]: 5884
% 0.15/0.54 % (8885)Time elapsed: 0.124 s
% 0.15/0.54 % (8885)Instructions burned: 28 (million)
% 0.15/0.54 % (8885)------------------------------
% 0.15/0.54 % (8885)------------------------------
% 0.15/0.54 % (8860)Success in time 0.233 s
%------------------------------------------------------------------------------