TSTP Solution File: GRP657+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP657+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Sun May 5 06:10:14 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 24 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 5 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 70 ( 65 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f620,plain,
$false,
inference(unit_resulting_resolution,[],[f457,f523,f13]) ).
fof(f13,plain,
! [X0] :
( sK0(X0) != mult(sK0(X0),X0)
| sK0(X0) != mult(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( sK0(X0) != mult(X0,sK0(X0))
| sK0(X0) != mult(sK0(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f11]) ).
fof(f11,plain,
! [X0] :
( ? [X1] :
( mult(X0,X1) != X1
| mult(X1,X0) != X1 )
=> ( sK0(X0) != mult(X0,sK0(X0))
| sK0(X0) != mult(sK0(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X0] :
? [X1] :
( mult(X0,X1) != X1
| mult(X1,X0) != X1 ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ? [X0] :
! [X1] :
( mult(X0,X1) = X1
& mult(X1,X0) = X1 ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ? [X3] :
! [X4] :
( mult(X3,X4) = X4
& mult(X4,X3) = X4 ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
? [X3] :
! [X4] :
( mult(X3,X4) = X4
& mult(X4,X3) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f523,plain,
! [X2,X1] : mult(rd(X1,X1),X2) = X2,
inference(forward_demodulation,[],[f522,f15]) ).
fof(f15,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/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f522,plain,
! [X2,X0,X1] : rd(mult(X2,X0),X0) = mult(rd(X1,X1),X2),
inference(forward_demodulation,[],[f521,f16]) ).
fof(f16,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/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f521,plain,
! [X2,X0,X1] : mult(rd(X1,X1),X2) = rd(mult(X1,ld(X1,mult(X2,X0))),X0),
inference(forward_demodulation,[],[f520,f457]) ).
fof(f520,plain,
! [X2,X0,X1] : mult(rd(X1,X1),X2) = rd(mult(X1,mult(ld(X1,mult(X2,X0)),rd(X1,X1))),X0),
inference(forward_demodulation,[],[f490,f114]) ).
fof(f114,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X2,rd(X0,X1))) = mult(X0,mult(ld(X1,X2),rd(X0,X1))),
inference(superposition,[],[f35,f20]) ).
fof(f20,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f14,f17]) ).
fof(f17,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/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f14,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/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f35,plain,
! [X2,X0,X1] : mult(X1,mult(ld(ld(X0,X1),X2),X0)) = mult(X0,mult(X2,X0)),
inference(superposition,[],[f25,f16]) ).
fof(f25,plain,
! [X2,X0,X1] : mult(X0,mult(mult(ld(X0,X1),X2),X0)) = mult(X1,mult(X2,X0)),
inference(superposition,[],[f18,f16]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(mult(X2,X1),mult(X0,X2)) = mult(X2,mult(mult(X1,X0),X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1,X2] : mult(mult(X2,X1),mult(X0,X2)) = mult(X2,mult(mult(X1,X0),X2)),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X1,X0),mult(X2,X1)) = mult(X1,mult(mult(X0,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f490,plain,
! [X2,X0,X1] : mult(rd(X1,X1),X2) = rd(mult(rd(X1,X1),mult(mult(X2,X0),rd(X1,X1))),X0),
inference(superposition,[],[f31,f457]) ).
fof(f31,plain,
! [X2,X0,X1] : mult(X0,X1) = rd(mult(X0,mult(mult(X1,X2),X0)),mult(X2,X0)),
inference(superposition,[],[f15,f18]) ).
fof(f457,plain,
! [X0,X1] : mult(X0,rd(X1,X1)) = X0,
inference(superposition,[],[f58,f15]) ).
fof(f58,plain,
! [X2,X0,X1] : mult(X2,rd(X0,X1)) = rd(mult(X2,mult(X0,X2)),mult(X1,X2)),
inference(superposition,[],[f31,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP657+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n024.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 : Fri May 3 20:43:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (17935)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (17938)WARNING: value z3 for option sas not known
% 0.14/0.37 % (17941)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)
% 0.14/0.37 % (17940)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)
% 0.14/0.37 % (17942)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)
% 0.14/0.37 % (17937)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (17938)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)
% 0.14/0.37 % (17939)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (17936)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.39 TRYING [5]
% 0.20/0.39 % (17942)First to succeed.
% 0.20/0.39 % (17942)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17935"
% 0.20/0.39 % (17942)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (17942)------------------------------
% 0.20/0.39 % (17942)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39 % (17942)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (17942)Memory used [KB]: 1118
% 0.20/0.39 % (17942)Time elapsed: 0.020 s
% 0.20/0.39 % (17942)Instructions burned: 35 (million)
% 0.20/0.39 % (17935)Success in time 0.034 s
%------------------------------------------------------------------------------