TSTP Solution File: GRP171-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP171-1 : 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 : n004.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 11:52:00 EDT 2024
% Result : Unsatisfiable 1.56s 0.54s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8207,plain,
$false,
inference(subsumption_resolution,[],[f8197,f18]) ).
fof(f18,axiom,
multiply(a,b) != least_upper_bound(identity,multiply(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p04a) ).
fof(f8197,plain,
multiply(a,b) = least_upper_bound(identity,multiply(a,b)),
inference(superposition,[],[f1276,f7515]) ).
fof(f7515,plain,
identity = greatest_lower_bound(identity,multiply(a,b)),
inference(forward_demodulation,[],[f7514,f23]) ).
fof(f23,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',p04a_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(f7514,plain,
greatest_lower_bound(identity,b) = greatest_lower_bound(identity,multiply(a,b)),
inference(forward_demodulation,[],[f7498,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(f7498,plain,
greatest_lower_bound(b,identity) = greatest_lower_bound(identity,multiply(a,b)),
inference(superposition,[],[f2582,f7354]) ).
fof(f7354,plain,
! [X0] : greatest_lower_bound(X0,multiply(a,X0)) = X0,
inference(superposition,[],[f7276,f16]) ).
fof(f16,axiom,
a = least_upper_bound(identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p04a_1) ).
fof(f7276,plain,
! [X0,X1] : greatest_lower_bound(X0,multiply(least_upper_bound(identity,X1),X0)) = X0,
inference(superposition,[],[f11,f709]) ).
fof(f709,plain,
! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0)),
inference(superposition,[],[f14,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f14,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub2) ).
fof(f2582,plain,
! [X0] : greatest_lower_bound(identity,X0) = greatest_lower_bound(greatest_lower_bound(b,X0),identity),
inference(forward_demodulation,[],[f2500,f90]) ).
fof(f90,plain,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X0,X1)),
inference(superposition,[],[f6,f9]) ).
fof(f9,axiom,
! [X0] : greatest_lower_bound(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_gld) ).
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(f2500,plain,
! [X0] : greatest_lower_bound(greatest_lower_bound(b,X0),identity) = greatest_lower_bound(identity,greatest_lower_bound(identity,X0)),
inference(superposition,[],[f2121,f96]) ).
fof(f96,plain,
! [X0] : greatest_lower_bound(identity,X0) = greatest_lower_bound(identity,greatest_lower_bound(b,X0)),
inference(superposition,[],[f6,f23]) ).
fof(f2121,plain,
! [X0,X1] : greatest_lower_bound(X1,X0) = greatest_lower_bound(X0,greatest_lower_bound(X0,X1)),
inference(superposition,[],[f99,f9]) ).
fof(f99,plain,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(X2,greatest_lower_bound(X0,X1)),
inference(superposition,[],[f6,f4]) ).
fof(f1276,plain,
! [X0,X1] : least_upper_bound(greatest_lower_bound(X1,X0),X0) = X0,
inference(superposition,[],[f243,f20]) ).
fof(f20,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
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(f243,plain,
! [X0,X1] : least_upper_bound(X1,X0) = least_upper_bound(X0,least_upper_bound(X1,X0)),
inference(superposition,[],[f188,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(f188,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP171-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 04:22:33 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (1229)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (1230)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (1232)WARNING: value z3 for option sas not known
% 0.11/0.34 % (1236)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)
% 0.11/0.34 % (1233)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (1234)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)
% 0.11/0.34 % (1235)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)
% 0.11/0.34 % (1231)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (1232)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)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [2]
% 0.11/0.36 TRYING [3]
% 0.11/0.37 TRYING [4]
% 0.17/0.40 TRYING [4]
% 0.17/0.43 TRYING [5]
% 0.17/0.51 TRYING [5]
% 1.38/0.53 % (1232)First to succeed.
% 1.56/0.54 % (1232)Refutation found. Thanks to Tanya!
% 1.56/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.56/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.54 % (1232)------------------------------
% 1.56/0.54 % (1232)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.56/0.54 % (1232)Termination reason: Refutation
% 1.56/0.54
% 1.56/0.54 % (1232)Memory used [KB]: 3052
% 1.56/0.54 % (1232)Time elapsed: 0.192 s
% 1.56/0.54 % (1232)Instructions burned: 422 (million)
% 1.56/0.54 % (1232)------------------------------
% 1.56/0.54 % (1232)------------------------------
% 1.56/0.54 % (1229)Success in time 0.193 s
%------------------------------------------------------------------------------