TSTP Solution File: GRP068-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP068-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 11:51:24 EDT 2024
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 50 ( 46 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 12 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 85 ( 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2739,plain,
$false,
inference(trivial_inequality_removal,[],[f2720]) ).
fof(f2720,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f232,f1588]) ).
fof(f1588,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[],[f449,f1470]) ).
fof(f1470,plain,
! [X2,X0,X1] : multiply(X0,X1) = divide(multiply(X0,multiply(X1,X2)),X2),
inference(superposition,[],[f851,f438]) ).
fof(f438,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f431,f201]) ).
fof(f201,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f197,f160]) ).
fof(f160,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f12,f141]) ).
fof(f141,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f9,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f9,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f8,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f8,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f7,f3]) ).
fof(f7,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(identity,X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f12,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f6,f10]) ).
fof(f10,plain,
identity = inverse(identity),
inference(superposition,[],[f3,f4]) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f197,plain,
! [X0] : inverse(multiply(inverse(X0),identity)) = X0,
inference(superposition,[],[f161,f3]) ).
fof(f161,plain,
! [X0,X1] : divide(X0,multiply(inverse(X1),X0)) = X1,
inference(backward_demodulation,[],[f154,f141]) ).
fof(f154,plain,
! [X0,X1] : divide(X0,divide(multiply(inverse(X1),X0),identity)) = X1,
inference(forward_demodulation,[],[f136,f6]) ).
fof(f136,plain,
! [X0,X1] : divide(X0,divide(divide(inverse(X1),inverse(X0)),identity)) = X1,
inference(superposition,[],[f9,f4]) ).
fof(f431,plain,
! [X0,X1] : divide(multiply(inverse(inverse(X0)),X1),X1) = X0,
inference(superposition,[],[f161,f350]) ).
fof(f350,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f146,f6]) ).
fof(f146,plain,
! [X0,X1] : divide(X1,inverse(multiply(inverse(X1),X0))) = X0,
inference(forward_demodulation,[],[f145,f6]) ).
fof(f145,plain,
! [X0,X1] : divide(X1,inverse(divide(inverse(X1),inverse(X0)))) = X0,
inference(forward_demodulation,[],[f127,f3]) ).
fof(f127,plain,
! [X0,X1] : divide(X1,divide(identity,divide(inverse(X1),inverse(X0)))) = X0,
inference(superposition,[],[f9,f4]) ).
fof(f851,plain,
! [X2,X0,X1] : divide(multiply(divide(X0,X2),multiply(X2,X1)),X1) = X0,
inference(backward_demodulation,[],[f593,f823]) ).
fof(f823,plain,
! [X2,X0,X1] : divide(X2,divide(inverse(X0),X1)) = multiply(X2,multiply(X1,X0)),
inference(superposition,[],[f205,f714]) ).
fof(f714,plain,
! [X0,X1] : multiply(X0,X1) = inverse(divide(inverse(X1),X0)),
inference(superposition,[],[f425,f323]) ).
fof(f323,plain,
! [X0,X1] : divide(inverse(X1),divide(inverse(X0),X1)) = X0,
inference(superposition,[],[f161,f205]) ).
fof(f425,plain,
! [X0,X1] : inverse(X1) = multiply(X0,divide(inverse(X0),X1)),
inference(superposition,[],[f350,f205]) ).
fof(f205,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = divide(X1,X0),
inference(backward_demodulation,[],[f23,f202]) ).
fof(f202,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f14,f201]) ).
fof(f14,plain,
! [X0] : inverse(inverse(X0)) = multiply(identity,X0),
inference(superposition,[],[f6,f3]) ).
fof(f23,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = divide(X1,multiply(identity,X0)),
inference(superposition,[],[f6,f14]) ).
fof(f593,plain,
! [X2,X0,X1] : divide(divide(divide(X0,X2),divide(inverse(X1),X2)),X1) = X0,
inference(forward_demodulation,[],[f592,f201]) ).
fof(f592,plain,
! [X2,X0,X1] : divide(divide(divide(inverse(inverse(X0)),X2),divide(inverse(X1),X2)),X1) = X0,
inference(forward_demodulation,[],[f576,f462]) ).
fof(f462,plain,
! [X0,X1] : divide(X1,X0) = inverse(divide(X0,X1)),
inference(superposition,[],[f228,f449]) ).
fof(f228,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(backward_demodulation,[],[f192,f202]) ).
fof(f192,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(multiply(identity,X0),X1)),
inference(superposition,[],[f161,f14]) ).
fof(f576,plain,
! [X2,X0,X1] : divide(inverse(divide(divide(inverse(X1),X2),divide(inverse(inverse(X0)),X2))),X1) = X0,
inference(superposition,[],[f323,f9]) ).
fof(f449,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f446,f205]) ).
fof(f446,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[],[f438,f6]) ).
fof(f232,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(trivial_inequality_removal,[],[f231]) ).
fof(f231,plain,
( a2 != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f18,f202]) ).
fof(f18,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2) ),
inference(trivial_inequality_removal,[],[f17]) ).
fof(f17,plain,
( identity != identity
| a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f5,f13]) ).
fof(f13,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(superposition,[],[f6,f4]) ).
fof(f5,axiom,
( a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP068-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n025.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 : Tue Apr 30 04:50:11 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (9955)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (9958)WARNING: value z3 for option sas not known
% 0.15/0.37 % (9959)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (9956)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (9958)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)
% 0.15/0.38 % (9957)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (9960)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)
% 0.15/0.38 % (9961)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (9962)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)
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.22/0.40 TRYING [5]
% 0.22/0.41 TRYING [4]
% 0.22/0.44 % (9961)First to succeed.
% 0.22/0.44 % (9961)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44 % (9961)------------------------------
% 0.22/0.44 % (9961)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.44 % (9961)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (9961)Memory used [KB]: 1615
% 0.22/0.44 % (9961)Time elapsed: 0.066 s
% 0.22/0.44 % (9961)Instructions burned: 114 (million)
% 0.22/0.44 % (9961)------------------------------
% 0.22/0.44 % (9961)------------------------------
% 0.22/0.44 % (9955)Success in time 0.082 s
%------------------------------------------------------------------------------