TSTP Solution File: GRP509-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP509-1 : 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 : n018.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 12:07:23 EDT 2024
% Result : Unsatisfiable 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1566,plain,
$false,
inference(unit_resulting_resolution,[],[f203,f769]) ).
fof(f769,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[],[f168,f628]) ).
fof(f628,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[],[f90,f57]) ).
fof(f57,plain,
! [X2,X3] : multiply(multiply(X3,X2),inverse(X3)) = X2,
inference(superposition,[],[f22,f25]) ).
fof(f25,plain,
! [X2,X0,X1] : inverse(multiply(X1,multiply(X0,inverse(multiply(multiply(X1,X0),X2))))) = X2,
inference(superposition,[],[f3,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(multiply(X0,X1),inverse(multiply(X0,X2))))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,X2)) = multiply(multiply(X1,X3),inverse(multiply(multiply(multiply(X0,X1),X2),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : inverse(multiply(X0,X2)) = multiply(multiply(X1,inverse(multiply(X0,X2))),inverse(X1)),
inference(superposition,[],[f3,f1]) ).
fof(f90,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X0,inverse(X0)))) = X1,
inference(superposition,[],[f1,f57]) ).
fof(f168,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = X1,
inference(superposition,[],[f57,f143]) ).
fof(f143,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[],[f132,f131]) ).
fof(f131,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f39,f85]) ).
fof(f85,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f57,f57]) ).
fof(f39,plain,
! [X2,X0,X1] : inverse(multiply(multiply(X2,X0),inverse(multiply(X2,multiply(X0,X1))))) = X1,
inference(superposition,[],[f25,f3]) ).
fof(f132,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,inverse(inverse(X0))),
inference(superposition,[],[f4,f85]) ).
fof(f203,plain,
multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)),
inference(forward_demodulation,[],[f157,f143]) ).
fof(f157,plain,
multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference(superposition,[],[f2,f143]) ).
fof(f2,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP509-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:46:28 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (24712)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (24715)WARNING: value z3 for option sas not known
% 0.14/0.38 % (24716)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (24713)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (24718)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 % (24714)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 % (24719)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)
% 0.14/0.38 % (24717)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 % (24715)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 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [3]
% 0.22/0.39 TRYING [4]
% 0.22/0.39 TRYING [4]
% 0.22/0.41 TRYING [5]
% 0.22/0.43 % (24719)First to succeed.
% 0.22/0.43 % (24719)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (24719)------------------------------
% 0.22/0.43 % (24719)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.43 % (24719)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (24719)Memory used [KB]: 1530
% 0.22/0.43 % (24719)Time elapsed: 0.053 s
% 0.22/0.43 % (24719)Instructions burned: 91 (million)
% 0.22/0.43 % (24719)------------------------------
% 0.22/0.43 % (24719)------------------------------
% 0.22/0.43 % (24712)Success in time 0.05 s
%------------------------------------------------------------------------------