TSTP Solution File: GRP488-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP488-1 : 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 : 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 : Tue Apr 30 12:07:19 EDT 2024
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of formulae : 84 ( 84 unt; 0 def)
% Number of atoms : 84 ( 83 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 122 ( 122 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1483,plain,
$false,
inference(trivial_inequality_removal,[],[f1481]) ).
fof(f1481,plain,
a2 != a2,
inference(superposition,[],[f5,f1058]) ).
fof(f1058,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f548,f1035]) ).
fof(f1035,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X1),inverse(X0))) = X1,
inference(backward_demodulation,[],[f488,f1015]) ).
fof(f1015,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(backward_demodulation,[],[f258,f1013]) ).
fof(f1013,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f939,f1012]) ).
fof(f1012,plain,
! [X1] : double_divide(identity,inverse(X1)) = X1,
inference(backward_demodulation,[],[f283,f1011]) ).
fof(f1011,plain,
! [X0,X1] : inverse(X1) = multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1)))),
inference(forward_demodulation,[],[f1010,f544]) ).
fof(f544,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,multiply(X1,inverse(X0))),
inference(forward_demodulation,[],[f535,f258]) ).
fof(f535,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,multiply(X1,double_divide(identity,multiply(X0,identity)))),
inference(superposition,[],[f66,f514]) ).
fof(f514,plain,
! [X0] : multiply(identity,X0) = multiply(X0,identity),
inference(superposition,[],[f493,f16]) ).
fof(f16,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f8,f3]) ).
fof(f3,axiom,
! [X0] : double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f8,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f493,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(forward_demodulation,[],[f475,f336]) ).
fof(f336,plain,
! [X0,X1] : multiply(X1,X0) = multiply(multiply(X1,X0),identity),
inference(superposition,[],[f265,f11]) ).
fof(f11,plain,
! [X0,X1] : multiply(X1,X0) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f265,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),identity),
inference(forward_demodulation,[],[f264,f66]) ).
fof(f264,plain,
! [X0,X1] : double_divide(X1,multiply(X0,double_divide(identity,multiply(identity,X1)))) = multiply(inverse(X0),identity),
inference(forward_demodulation,[],[f263,f16]) ).
fof(f263,plain,
! [X0,X1] : double_divide(X1,multiply(X0,double_divide(identity,inverse(inverse(X1))))) = multiply(inverse(X0),identity),
inference(forward_demodulation,[],[f262,f3]) ).
fof(f262,plain,
! [X0,X1] : double_divide(X1,multiply(X0,double_divide(identity,double_divide(inverse(X1),identity)))) = multiply(inverse(X0),identity),
inference(forward_demodulation,[],[f226,f230]) ).
fof(f230,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f223,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f223,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(superposition,[],[f218,f13]) ).
fof(f13,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X0] : multiply(inverse(X0),X0) = double_divide(identity,identity),
inference(superposition,[],[f2,f4]) ).
fof(f218,plain,
! [X0] : inverse(identity) = double_divide(X0,multiply(inverse(X0),identity)),
inference(forward_demodulation,[],[f211,f4]) ).
fof(f211,plain,
! [X0] : inverse(identity) = double_divide(X0,multiply(inverse(X0),double_divide(identity,inverse(identity)))),
inference(superposition,[],[f15,f198]) ).
fof(f198,plain,
! [X0] : inverse(identity) = double_divide(X0,double_divide(X0,inverse(identity))),
inference(forward_demodulation,[],[f190,f197]) ).
fof(f197,plain,
! [X0] : double_divide(X0,inverse(identity)) = inverse(multiply(multiply(identity,X0),identity)),
inference(forward_demodulation,[],[f188,f11]) ).
fof(f188,plain,
! [X0] : inverse(inverse(double_divide(identity,multiply(identity,X0)))) = double_divide(X0,inverse(identity)),
inference(superposition,[],[f66,f13]) ).
fof(f190,plain,
! [X0] : inverse(identity) = double_divide(X0,inverse(multiply(multiply(identity,X0),identity))),
inference(superposition,[],[f66,f14]) ).
fof(f14,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(superposition,[],[f2,f2]) ).
fof(f15,plain,
! [X2,X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2))))) = X2,
inference(backward_demodulation,[],[f7,f11]) ).
fof(f7,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2))),X1))) = X2,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f226,plain,
! [X0,X1] : double_divide(X1,multiply(X0,double_divide(identity,double_divide(inverse(X1),inverse(identity))))) = multiply(inverse(X0),identity),
inference(superposition,[],[f15,f218]) ).
fof(f475,plain,
! [X0] : inverse(inverse(X0)) = multiply(multiply(X0,identity),identity),
inference(superposition,[],[f11,f258]) ).
fof(f66,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,multiply(X0,double_divide(identity,multiply(identity,X1)))),
inference(forward_demodulation,[],[f65,f16]) ).
fof(f65,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,multiply(X0,double_divide(identity,inverse(inverse(X1))))),
inference(forward_demodulation,[],[f56,f3]) ).
fof(f56,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,multiply(X0,double_divide(identity,double_divide(inverse(X1),identity)))),
inference(superposition,[],[f15,f4]) ).
fof(f1010,plain,
! [X2,X0,X1] : multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1)))) = double_divide(X2,multiply(X1,inverse(X2))),
inference(forward_demodulation,[],[f1009,f11]) ).
fof(f1009,plain,
! [X2,X0,X1] : multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1)))) = double_divide(X2,inverse(double_divide(inverse(X2),X1))),
inference(forward_demodulation,[],[f1008,f486]) ).
fof(f486,plain,
! [X0] : inverse(X0) = inverse(multiply(X0,identity)),
inference(forward_demodulation,[],[f485,f348]) ).
fof(f348,plain,
! [X0] : inverse(X0) = multiply(identity,inverse(X0)),
inference(backward_demodulation,[],[f19,f344]) ).
fof(f344,plain,
! [X0] : inverse(X0) = inverse(multiply(identity,X0)),
inference(backward_demodulation,[],[f249,f336]) ).
fof(f249,plain,
! [X0] : inverse(X0) = inverse(multiply(multiply(identity,X0),identity)),
inference(forward_demodulation,[],[f240,f3]) ).
fof(f240,plain,
! [X0] : double_divide(X0,identity) = inverse(multiply(multiply(identity,X0),identity)),
inference(backward_demodulation,[],[f197,f230]) ).
fof(f19,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[],[f16,f16]) ).
fof(f485,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(X0,identity)),
inference(forward_demodulation,[],[f472,f336]) ).
fof(f472,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(multiply(X0,identity),identity)),
inference(superposition,[],[f14,f258]) ).
fof(f1008,plain,
! [X2,X0,X1] : multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1)))) = double_divide(X2,inverse(multiply(double_divide(inverse(X2),X1),identity))),
inference(forward_demodulation,[],[f950,f14]) ).
fof(f950,plain,
! [X2,X0,X1] : multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1)))) = double_divide(X2,multiply(identity,double_divide(identity,double_divide(inverse(X2),X1)))),
inference(superposition,[],[f57,f230]) ).
fof(f57,plain,
! [X2,X3,X0,X1] : multiply(X1,double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2)))) = double_divide(X3,multiply(X0,double_divide(identity,double_divide(inverse(X3),X2)))),
inference(superposition,[],[f15,f15]) ).
fof(f283,plain,
! [X0,X1] : double_divide(identity,multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1))))) = X1,
inference(superposition,[],[f15,f230]) ).
fof(f939,plain,
! [X0] : multiply(X0,identity) = double_divide(identity,inverse(X0)),
inference(forward_demodulation,[],[f923,f459]) ).
fof(f459,plain,
! [X0,X1] : multiply(X1,X0) = multiply(identity,multiply(X1,X0)),
inference(superposition,[],[f348,f11]) ).
fof(f923,plain,
! [X0] : double_divide(identity,inverse(X0)) = multiply(identity,multiply(X0,identity)),
inference(superposition,[],[f477,f486]) ).
fof(f477,plain,
! [X0] : multiply(identity,X0) = double_divide(identity,inverse(X0)),
inference(forward_demodulation,[],[f469,f16]) ).
fof(f469,plain,
! [X0] : inverse(inverse(X0)) = double_divide(identity,inverse(X0)),
inference(superposition,[],[f258,f265]) ).
fof(f258,plain,
! [X0] : inverse(X0) = double_divide(identity,multiply(X0,identity)),
inference(forward_demodulation,[],[f257,f230]) ).
fof(f257,plain,
! [X0] : inverse(X0) = double_divide(inverse(identity),multiply(X0,identity)),
inference(forward_demodulation,[],[f256,f3]) ).
fof(f256,plain,
! [X0] : inverse(X0) = double_divide(double_divide(identity,identity),multiply(X0,identity)),
inference(backward_demodulation,[],[f239,f255]) ).
fof(f255,plain,
identity = multiply(identity,identity),
inference(forward_demodulation,[],[f254,f231]) ).
fof(f231,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(backward_demodulation,[],[f13,f230]) ).
fof(f254,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(identity,identity),
inference(forward_demodulation,[],[f243,f3]) ).
fof(f243,plain,
! [X0] : multiply(identity,identity) = multiply(double_divide(X0,identity),X0),
inference(backward_demodulation,[],[f212,f230]) ).
fof(f212,plain,
! [X0] : multiply(identity,identity) = multiply(double_divide(X0,inverse(identity)),X0),
inference(forward_demodulation,[],[f209,f16]) ).
fof(f209,plain,
! [X0] : inverse(inverse(identity)) = multiply(double_divide(X0,inverse(identity)),X0),
inference(superposition,[],[f11,f198]) ).
fof(f239,plain,
! [X0] : inverse(X0) = double_divide(double_divide(identity,multiply(identity,identity)),multiply(X0,identity)),
inference(backward_demodulation,[],[f187,f230]) ).
fof(f187,plain,
! [X0] : inverse(X0) = double_divide(double_divide(identity,multiply(identity,identity)),multiply(X0,inverse(identity))),
inference(superposition,[],[f66,f66]) ).
fof(f488,plain,
! [X0,X1] : double_divide(X0,multiply(double_divide(identity,X1),inverse(X0))) = X1,
inference(forward_demodulation,[],[f487,f11]) ).
fof(f487,plain,
! [X0,X1] : double_divide(X0,inverse(double_divide(inverse(X0),double_divide(identity,X1)))) = X1,
inference(backward_demodulation,[],[f95,f486]) ).
fof(f95,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity))) = X1,
inference(superposition,[],[f15,f14]) ).
fof(f548,plain,
! [X0,X1] : multiply(identity,X0) = double_divide(X1,multiply(inverse(X0),inverse(X1))),
inference(backward_demodulation,[],[f70,f539]) ).
fof(f539,plain,
! [X0] : inverse(X0) = double_divide(identity,multiply(identity,X0)),
inference(superposition,[],[f258,f514]) ).
fof(f70,plain,
! [X0,X1] : multiply(identity,X0) = double_divide(X1,multiply(inverse(X0),double_divide(identity,multiply(identity,X1)))),
inference(forward_demodulation,[],[f69,f16]) ).
fof(f69,plain,
! [X0,X1] : multiply(identity,X0) = double_divide(X1,multiply(inverse(X0),double_divide(identity,inverse(inverse(X1))))),
inference(forward_demodulation,[],[f61,f3]) ).
fof(f61,plain,
! [X0,X1] : multiply(identity,X0) = double_divide(X1,multiply(inverse(X0),double_divide(identity,double_divide(inverse(X1),identity)))),
inference(superposition,[],[f15,f22]) ).
fof(f22,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(superposition,[],[f4,f16]) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP488-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 04:40:10 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (3171)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (3172)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (3177)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)
% 0.13/0.38 % (3173)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (3174)WARNING: value z3 for option sas not known
% 0.13/0.38 % (3178)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)
% 0.13/0.38 TRYING [3]
% 0.13/0.39 % (3175)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.39 % (3176)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)
% 0.13/0.39 % (3174)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)
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.13/0.39 TRYING [4]
% 0.13/0.40 TRYING [4]
% 0.21/0.40 TRYING [5]
% 0.21/0.42 % (3177)First to succeed.
% 0.21/0.42 % (3177)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (3177)------------------------------
% 0.21/0.42 % (3177)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.42 % (3177)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (3177)Memory used [KB]: 1213
% 0.21/0.42 % (3177)Time elapsed: 0.039 s
% 0.21/0.42 % (3177)Instructions burned: 65 (million)
% 0.21/0.42 % (3177)------------------------------
% 0.21/0.42 % (3177)------------------------------
% 0.21/0.42 % (3171)Success in time 0.06 s
%------------------------------------------------------------------------------