TSTP Solution File: GRP487-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP487-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 12:07:19 EDT 2024
% Result : Unsatisfiable 0.13s 0.30s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f246,plain,
$false,
inference(subsumption_resolution,[],[f245,f13]) ).
fof(f13,plain,
identity != inverse(identity),
inference(superposition,[],[f5,f11]) ).
fof(f11,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(forward_demodulation,[],[f7,f3]) ).
fof(f3,axiom,
! [X0] : double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f7,plain,
! [X0] : multiply(inverse(X0),X0) = double_divide(identity,identity),
inference(superposition,[],[f2,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
identity != multiply(inverse(a1),a1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f245,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f238,f4]) ).
fof(f238,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(superposition,[],[f232,f11]) ).
fof(f232,plain,
! [X0] : inverse(identity) = double_divide(X0,multiply(inverse(X0),identity)),
inference(forward_demodulation,[],[f228,f4]) ).
fof(f228,plain,
! [X0] : inverse(identity) = double_divide(X0,multiply(inverse(X0),double_divide(identity,inverse(identity)))),
inference(superposition,[],[f42,f203]) ).
fof(f203,plain,
! [X0] : inverse(identity) = double_divide(X0,double_divide(X0,inverse(identity))),
inference(superposition,[],[f181,f188]) ).
fof(f188,plain,
! [X0] : double_divide(X0,inverse(identity)) = inverse(multiply(multiply(identity,X0),identity)),
inference(forward_demodulation,[],[f179,f9]) ).
fof(f9,plain,
! [X0,X1] : multiply(X1,X0) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f179,plain,
! [X0] : inverse(inverse(double_divide(identity,multiply(identity,X0)))) = double_divide(X0,inverse(identity)),
inference(superposition,[],[f127,f11]) ).
fof(f127,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,multiply(X0,double_divide(identity,multiply(identity,X1)))),
inference(forward_demodulation,[],[f126,f14]) ).
fof(f14,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f6,f3]) ).
fof(f6,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f126,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,multiply(X0,double_divide(identity,inverse(inverse(X1))))),
inference(forward_demodulation,[],[f113,f3]) ).
fof(f113,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,multiply(X0,double_divide(identity,double_divide(inverse(X1),identity)))),
inference(superposition,[],[f42,f4]) ).
fof(f181,plain,
! [X0] : inverse(identity) = double_divide(X0,inverse(multiply(multiply(identity,X0),identity))),
inference(superposition,[],[f127,f12]) ).
fof(f12,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f8,f3]) ).
fof(f8,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(superposition,[],[f2,f2]) ).
fof(f42,plain,
! [X2,X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2))))) = X2,
inference(forward_demodulation,[],[f41,f3]) ).
fof(f41,plain,
! [X2,X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))))) = X2,
inference(forward_demodulation,[],[f40,f9]) ).
fof(f40,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1))) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP487-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue Apr 30 04:37:06 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.29 % (12205)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.29 % (12208)WARNING: value z3 for option sas not known
% 0.09/0.30 % (12208)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)
% 0.09/0.30 % (12209)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.30 TRYING [1]
% 0.09/0.30 TRYING [2]
% 0.09/0.30 % (12207)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.30 TRYING [3]
% 0.13/0.30 % (12212)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)
% 0.13/0.30 TRYING [4]
% 0.13/0.30 % (12211)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)
% 0.13/0.30 % (12206)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.30 % (12210)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)
% 0.13/0.30 % (12208)First to succeed.
% 0.13/0.30 % (12212)Also succeeded, but the first one will report.
% 0.13/0.30 % (12208)Refutation found. Thanks to Tanya!
% 0.13/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.30 % (12208)------------------------------
% 0.13/0.30 % (12208)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.30 % (12208)Termination reason: Refutation
% 0.13/0.30
% 0.13/0.30 % (12208)Memory used [KB]: 848
% 0.13/0.30 % (12208)Time elapsed: 0.007 s
% 0.13/0.30 % (12208)Instructions burned: 15 (million)
% 0.13/0.30 % (12208)------------------------------
% 0.13/0.30 % (12208)------------------------------
% 0.13/0.30 % (12205)Success in time 0.016 s
%------------------------------------------------------------------------------