TSTP Solution File: GRP191-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP191-2 : 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 : 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 : Tue Apr 30 11:52:08 EDT 2024
% Result : Unsatisfiable 16.58s 2.78s
% Output : Refutation 16.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78373,plain,
$false,
inference(subsumption_resolution,[],[f78317,f17]) ).
fof(f17,axiom,
inverse(b) != least_upper_bound(inverse(a),inverse(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p39d) ).
fof(f78317,plain,
inverse(b) = least_upper_bound(inverse(a),inverse(b)),
inference(superposition,[],[f845,f78173]) ).
fof(f78173,plain,
inverse(a) = greatest_lower_bound(inverse(a),inverse(b)),
inference(forward_demodulation,[],[f77884,f320]) ).
fof(f320,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f57,f55]) ).
fof(f55,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f37,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f37,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f35,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f35,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
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(f57,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f37,f37]) ).
fof(f77884,plain,
inverse(a) = greatest_lower_bound(inverse(a),multiply(inverse(b),identity)),
inference(superposition,[],[f12153,f27126]) ).
fof(f27126,plain,
identity = least_upper_bound(multiply(b,inverse(a)),identity),
inference(superposition,[],[f281,f27027]) ).
fof(f27027,plain,
identity = least_upper_bound(identity,multiply(b,inverse(a))),
inference(superposition,[],[f19748,f319]) ).
fof(f319,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f57,f2]) ).
fof(f19748,plain,
! [X0] : multiply(a,X0) = least_upper_bound(multiply(a,X0),multiply(b,X0)),
inference(superposition,[],[f1058,f16]) ).
fof(f16,axiom,
b = greatest_lower_bound(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39d_1) ).
fof(f1058,plain,
! [X2,X0,X1] : multiply(X0,X1) = least_upper_bound(multiply(X0,X1),multiply(greatest_lower_bound(X0,X2),X1)),
inference(superposition,[],[f10,f15]) ).
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(f10,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lub_absorbtion) ).
fof(f281,plain,
! [X0,X1] : least_upper_bound(X1,X0) = least_upper_bound(X0,least_upper_bound(X1,X0)),
inference(superposition,[],[f247,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(f247,plain,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X0,least_upper_bound(X0,X1)),
inference(superposition,[],[f7,f8]) ).
fof(f8,axiom,
! [X0] : least_upper_bound(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_lub) ).
fof(f7,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_lub) ).
fof(f12153,plain,
! [X2,X0,X1] : greatest_lower_bound(X1,multiply(inverse(X0),least_upper_bound(multiply(X0,X1),X2))) = X1,
inference(superposition,[],[f412,f37]) ).
fof(f412,plain,
! [X2,X0,X1] : multiply(X0,X1) = greatest_lower_bound(multiply(X0,X1),multiply(X0,least_upper_bound(X1,X2))),
inference(superposition,[],[f11,f12]) ).
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(f11,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f845,plain,
! [X0,X1] : least_upper_bound(greatest_lower_bound(X1,X0),X0) = X0,
inference(superposition,[],[f281,f20]) ).
fof(f20,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP191-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:22:42 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (2700)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (2707)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)
% 0.14/0.37 % (2701)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (2706)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)
% 0.14/0.38 % (2703)WARNING: value z3 for option sas not known
% 0.14/0.38 % (2703)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (2704)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (2702)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (2705)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)
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.22/0.41 TRYING [4]
% 0.22/0.41 TRYING [3]
% 0.22/0.46 TRYING [5]
% 0.22/0.49 TRYING [4]
% 2.04/0.63 TRYING [6]
% 2.04/0.65 TRYING [5]
% 5.82/1.18 TRYING [7]
% 6.26/1.27 TRYING [6]
% 7.85/1.48 TRYING [1]
% 7.85/1.48 TRYING [2]
% 7.85/1.48 TRYING [3]
% 8.10/1.50 TRYING [4]
% 8.33/1.59 TRYING [5]
% 10.41/1.87 TRYING [6]
% 16.58/2.78 % (2703)First to succeed.
% 16.58/2.78 % (2703)Refutation found. Thanks to Tanya!
% 16.58/2.78 % SZS status Unsatisfiable for theBenchmark
% 16.58/2.78 % SZS output start Proof for theBenchmark
% See solution above
% 16.58/2.78 % (2703)------------------------------
% 16.58/2.78 % (2703)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 16.58/2.78 % (2703)Termination reason: Refutation
% 16.58/2.78
% 16.58/2.78 % (2703)Memory used [KB]: 26278
% 16.58/2.78 % (2703)Time elapsed: 2.402 s
% 16.58/2.78 % (2703)Instructions burned: 6562 (million)
% 16.58/2.78 % (2703)------------------------------
% 16.58/2.78 % (2703)------------------------------
% 16.58/2.78 % (2700)Success in time 2.427 s
%------------------------------------------------------------------------------