TSTP Solution File: GRP166-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP166-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Sun May 5 05:53:49 EDT 2024
% Result : Unsatisfiable 2.80s 0.74s
% Output : Refutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 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 : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18365,plain,
$false,
inference(trivial_inequality_removal,[],[f18364]) ).
fof(f18364,plain,
multiply(a,b) != multiply(a,b),
inference(forward_demodulation,[],[f18261,f20]) ).
fof(f20,plain,
b = least_upper_bound(identity,b),
inference(superposition,[],[f5,f17]) ).
fof(f17,axiom,
b = least_upper_bound(b,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lat2a_2) ).
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(f18261,plain,
multiply(a,b) != multiply(a,least_upper_bound(identity,b)),
inference(superposition,[],[f18,f4526]) ).
fof(f4526,plain,
! [X0,X1] : multiply(X0,least_upper_bound(identity,X1)) = least_upper_bound(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f4525,f316]) ).
fof(f316,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f310,f310]) ).
fof(f310,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f308,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f308,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f4525,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),least_upper_bound(identity,X1)) = least_upper_bound(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f4461,f316]) ).
fof(f4461,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),least_upper_bound(identity,X1)) = least_upper_bound(X0,multiply(inverse(inverse(X0)),X1)),
inference(superposition,[],[f12,f314]) ).
fof(f314,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f310,f2]) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub1) ).
fof(f18,axiom,
multiply(a,b) != least_upper_bound(a,multiply(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lat2a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GRP166-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.05/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:51:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (1017)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (1027)WARNING: value z3 for option sas not known
% 0.21/0.38 % (1026)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (1025)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (1030)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (1031)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38 % (1027)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (1032)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38 % (1033)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.40 TRYING [3]
% 0.21/0.41 TRYING [4]
% 0.21/0.45 TRYING [4]
% 0.21/0.48 TRYING [5]
% 1.32/0.55 TRYING [5]
% 1.45/0.62 TRYING [6]
% 2.29/0.74 % (1033)First to succeed.
% 2.29/0.74 % (1033)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1017"
% 2.80/0.74 % (1033)Refutation found. Thanks to Tanya!
% 2.80/0.74 % SZS status Unsatisfiable for theBenchmark
% 2.80/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.80/0.74 % (1033)------------------------------
% 2.80/0.74 % (1033)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.80/0.74 % (1033)Termination reason: Refutation
% 2.80/0.74
% 2.80/0.74 % (1033)Memory used [KB]: 6204
% 2.80/0.74 % (1033)Time elapsed: 0.366 s
% 2.80/0.74 % (1033)Instructions burned: 1040 (million)
% 2.80/0.74 % (1017)Success in time 0.371 s
%------------------------------------------------------------------------------