TSTP Solution File: GRP572-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP572-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n009.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 : Wed Aug 31 16:22:53 EDT 2022
% Result : Unsatisfiable 1.57s 0.56s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f234,plain,
$false,
inference(trivial_inequality_removal,[],[f232]) ).
fof(f232,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(a,b)),
inference(backward_demodulation,[],[f144,f222]) ).
fof(f222,plain,
! [X3,X4] : double_divide(X4,X3) = double_divide(X3,X4),
inference(superposition,[],[f169,f209]) ).
fof(f209,plain,
! [X2,X3] : double_divide(X3,double_divide(X3,X2)) = X2,
inference(forward_demodulation,[],[f196,f41]) ).
fof(f41,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(backward_demodulation,[],[f12,f36]) ).
fof(f36,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f35,f7]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f35,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(X0,identity)),
inference(forward_demodulation,[],[f33,f12]) ).
fof(f33,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,identity))),
inference(backward_demodulation,[],[f30,f27]) ).
fof(f27,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
inference(superposition,[],[f22,f7]) ).
fof(f22,plain,
! [X1] : double_divide(double_divide(X1,identity),identity) = double_divide(identity,double_divide(X1,double_divide(identity,identity))),
inference(superposition,[],[f15,f12]) ).
fof(f15,plain,
! [X2,X3,X1] : double_divide(X2,identity) = double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X3,identity))),
inference(backward_demodulation,[],[f11,f13]) ).
fof(f13,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f12]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f11,plain,
! [X2,X3,X1] : double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X3,identity))) = double_divide(double_divide(identity,double_divide(X2,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f30,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(double_divide(identity,identity),identity))),
inference(superposition,[],[f15,f22]) ).
fof(f12,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
inference(forward_demodulation,[],[f10,f7]) ).
fof(f10,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f196,plain,
! [X2,X3] : double_divide(double_divide(X2,identity),identity) = double_divide(X3,double_divide(X3,X2)),
inference(superposition,[],[f15,f169]) ).
fof(f169,plain,
! [X10,X9] : double_divide(double_divide(X10,X9),X10) = X9,
inference(superposition,[],[f147,f147]) ).
fof(f147,plain,
! [X3,X4] : double_divide(X4,double_divide(X3,X4)) = X3,
inference(superposition,[],[f48,f84]) ).
fof(f84,plain,
! [X2] : double_divide(double_divide(identity,X2),identity) = X2,
inference(superposition,[],[f41,f47]) ).
fof(f47,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(backward_demodulation,[],[f42,f45]) ).
fof(f45,plain,
! [X1] : double_divide(identity,double_divide(X1,identity)) = X1,
inference(backward_demodulation,[],[f40,f41]) ).
fof(f40,plain,
! [X1] : double_divide(double_divide(X1,identity),identity) = double_divide(identity,double_divide(X1,identity)),
inference(backward_demodulation,[],[f22,f36]) ).
fof(f42,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(identity,double_divide(X0,identity)),identity),
inference(backward_demodulation,[],[f28,f40]) ).
fof(f28,plain,
! [X0] : double_divide(double_divide(double_divide(X0,identity),identity),identity) = double_divide(identity,X0),
inference(superposition,[],[f22,f12]) ).
fof(f48,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(X1,identity),X0)),
inference(backward_demodulation,[],[f43,f45]) ).
fof(f43,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(X1,identity),double_divide(identity,double_divide(X0,identity)))) = double_divide(X1,identity),
inference(backward_demodulation,[],[f18,f40]) ).
fof(f18,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(X1,identity),double_divide(double_divide(X0,identity),identity))),
inference(superposition,[],[f15,f7]) ).
fof(f144,plain,
double_divide(identity,double_divide(b,a)) != double_divide(identity,double_divide(a,b)),
inference(superposition,[],[f50,f47]) ).
fof(f50,plain,
double_divide(double_divide(b,a),identity) != double_divide(identity,double_divide(a,b)),
inference(backward_demodulation,[],[f6,f47]) ).
fof(f6,plain,
double_divide(double_divide(b,a),identity) != double_divide(double_divide(a,b),identity),
inference(definition_unfolding,[],[f5,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP572-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:30:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (14744)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.50 % (14746)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50 % (14745)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (14752)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.52 % (14761)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.52 % (14742)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.19/0.52 % (14763)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.52 % (14753)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.52 % (14762)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.19/0.52 % (14748)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 % (14765)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (14747)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.53 % (14743)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.53 TRYING [4]
% 1.46/0.53 % (14754)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.46/0.53 % (14759)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.46/0.53 % (14749)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.46/0.53 % (14764)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 1.46/0.54 TRYING [1]
% 1.46/0.54 TRYING [2]
% 1.46/0.54 % (14772)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 1.46/0.54 % (14760)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.46/0.54 % (14757)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 1.46/0.54 % (14756)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 1.46/0.54 % (14758)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.46/0.54 % (14750)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.46/0.54 % (14768)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.46/0.55 % (14751)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.46/0.55 % (14755)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.57/0.55 TRYING [1]
% 1.57/0.55 TRYING [2]
% 1.57/0.55 % (14769)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 1.57/0.55 TRYING [3]
% 1.57/0.55 % (14744)Instruction limit reached!
% 1.57/0.55 % (14744)------------------------------
% 1.57/0.55 % (14744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55 % (14749)Instruction limit reached!
% 1.57/0.55 % (14749)------------------------------
% 1.57/0.55 % (14749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55 % (14749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.55 % (14749)Termination reason: Unknown
% 1.57/0.55 % (14749)Termination phase: Saturation
% 1.57/0.55
% 1.57/0.55 % (14749)Memory used [KB]: 5500
% 1.57/0.55 % (14749)Time elapsed: 0.100 s
% 1.57/0.55 % (14749)Instructions burned: 8 (million)
% 1.57/0.55 % (14749)------------------------------
% 1.57/0.55 % (14749)------------------------------
% 1.57/0.55 TRYING [4]
% 1.57/0.55 % (14771)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.57/0.56 % (14767)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.57/0.56 TRYING [3]
% 1.57/0.56 % (14743)First to succeed.
% 1.57/0.56 % (14743)Refutation found. Thanks to Tanya!
% 1.57/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.57/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.56 % (14743)------------------------------
% 1.57/0.56 % (14743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (14743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (14743)Termination reason: Refutation
% 1.57/0.56
% 1.57/0.56 % (14743)Memory used [KB]: 5628
% 1.57/0.56 % (14743)Time elapsed: 0.142 s
% 1.57/0.56 % (14743)Instructions burned: 16 (million)
% 1.57/0.56 % (14743)------------------------------
% 1.57/0.56 % (14743)------------------------------
% 1.57/0.56 % (14739)Success in time 0.211 s
%------------------------------------------------------------------------------