TSTP Solution File: GRP700+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP700+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Mon May 20 21:32:27 EDT 2024
% Result : Theorem 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 39 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 5 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 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 : 71 ( 66 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f883,plain,
$false,
inference(trivial_inequality_removal,[],[f880]) ).
fof(f880,plain,
unit != unit,
inference(superposition,[],[f54,f845]) ).
fof(f845,plain,
! [X0] : unit = mult(X0,rd(unit,X0)),
inference(forward_demodulation,[],[f821,f28]) ).
fof(f28,plain,
! [X0] : unit = ld(X0,X0),
inference(superposition,[],[f22,f20]) ).
fof(f20,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] : mult(X0,unit) = X0,
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1] : mult(X1,unit) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f22,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f821,plain,
! [X0] : ld(X0,X0) = mult(X0,rd(unit,X0)),
inference(superposition,[],[f22,f809]) ).
fof(f809,plain,
! [X0] : mult(X0,mult(X0,rd(unit,X0))) = X0,
inference(forward_demodulation,[],[f787,f23]) ).
fof(f23,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f787,plain,
! [X0] : mult(X0,mult(X0,rd(unit,X0))) = rd(mult(X0,X0),X0),
inference(superposition,[],[f39,f502]) ).
fof(f502,plain,
! [X0] : ld(mult(X0,mult(X0,rd(unit,X0))),mult(X0,X0)) = X0,
inference(forward_demodulation,[],[f501,f479]) ).
fof(f479,plain,
! [X0] : rd(unit,X0) = rd(X0,mult(X0,X0)),
inference(superposition,[],[f23,f456]) ).
fof(f456,plain,
! [X0] : unit = mult(rd(X0,mult(X0,X0)),X0),
inference(superposition,[],[f196,f33]) ).
fof(f33,plain,
! [X0] : unit = rd(X0,X0),
inference(superposition,[],[f23,f21]) ).
fof(f21,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] : mult(unit,X0) = X0,
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1] : mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f196,plain,
! [X0,X1] : mult(rd(X0,mult(X1,X1)),X1) = rd(mult(X0,X1),mult(X1,X1)),
inference(superposition,[],[f23,f119]) ).
fof(f119,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(rd(X0,mult(X1,X1)),X1),mult(X1,X1)),
inference(superposition,[],[f99,f25]) ).
fof(f25,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f99,plain,
! [X0,X1] : mult(mult(X1,mult(X0,X0)),X0) = mult(mult(X1,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f86,f21]) ).
fof(f86,plain,
! [X0,X1] : mult(mult(X1,X0),mult(X0,mult(unit,X0))) = mult(mult(X1,mult(X0,X0)),X0),
inference(superposition,[],[f26,f20]) ).
fof(f26,plain,
! [X2,X0,X1] : mult(mult(X2,X1),mult(X1,mult(X0,X1))) = mult(mult(X2,mult(X1,mult(X1,X0))),X1),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] : mult(mult(X2,X1),mult(X1,mult(X0,X1))) = mult(mult(X2,mult(X1,mult(X1,X0))),X1),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(mult(X1,X0),mult(X0,mult(X2,X0))) = mult(mult(X1,mult(X0,mult(X0,X2))),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
fof(f501,plain,
! [X0] : ld(mult(X0,mult(X0,rd(X0,mult(X0,X0)))),mult(X0,X0)) = X0,
inference(forward_demodulation,[],[f485,f20]) ).
fof(f485,plain,
! [X0] : ld(mult(X0,mult(X0,rd(X0,mult(X0,X0)))),mult(X0,mult(X0,unit))) = X0,
inference(superposition,[],[f174,f456]) ).
fof(f174,plain,
! [X0,X1] : ld(mult(X0,mult(X0,X1)),mult(X0,mult(X0,mult(X1,X0)))) = X0,
inference(superposition,[],[f22,f108]) ).
fof(f108,plain,
! [X0,X1] : mult(mult(X0,mult(X0,X1)),X0) = mult(X0,mult(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f94,f21]) ).
fof(f94,plain,
! [X0,X1] : mult(mult(unit,X0),mult(X0,mult(X1,X0))) = mult(mult(X0,mult(X0,X1)),X0),
inference(superposition,[],[f26,f21]) ).
fof(f39,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f23,f24]) ).
fof(f24,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f54,plain,
unit != mult(sK0,rd(unit,sK0)),
inference(unit_resulting_resolution,[],[f25,f19]) ).
fof(f19,plain,
! [X1] :
( unit != mult(sK0,X1)
| unit != mult(X1,sK0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1] :
( unit != mult(sK0,X1)
| unit != mult(X1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f17,plain,
( ? [X0] :
! [X1] :
( unit != mult(X0,X1)
| mult(X1,X0) != unit )
=> ! [X1] :
( unit != mult(sK0,X1)
| unit != mult(X1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0] :
! [X1] :
( unit != mult(X0,X1)
| mult(X1,X0) != unit ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ! [X0] :
? [X1] :
( unit = mult(X0,X1)
& mult(X1,X0) = unit ),
inference(rectify,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X3] :
? [X4] :
( unit = mult(X3,X4)
& unit = mult(X4,X3) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X3] :
? [X4] :
( unit = mult(X3,X4)
& unit = mult(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP700+1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 05:35:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (1134)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (1135)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (1137)WARNING: value z3 for option sas not known
% 0.14/0.37 TRYING [2]
% 0.21/0.37 % (1138)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (1137)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)
% 0.21/0.37 % (1139)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)
% 0.21/0.37 % (1136)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (1141)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)
% 0.21/0.37 % (1140)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [4]
% 0.21/0.39 TRYING [4]
% 0.21/0.40 % (1141)First to succeed.
% 0.21/0.40 % (1141)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1134"
% 0.21/0.40 % (1141)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Theorem for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (1141)------------------------------
% 0.21/0.40 % (1141)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (1141)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (1141)Memory used [KB]: 1052
% 0.21/0.40 % (1141)Time elapsed: 0.026 s
% 0.21/0.40 % (1141)Instructions burned: 43 (million)
% 0.21/0.40 % (1134)Success in time 0.043 s
%------------------------------------------------------------------------------