TSTP Solution File: GRP715-11 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP715-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 06:10:29 EDT 2024
% Result : Unsatisfiable 71.00s 10.59s
% Output : Refutation 71.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140641,plain,
$false,
inference(trivial_inequality_removal,[],[f140578]) ).
fof(f140578,plain,
x0 != x0,
inference(superposition,[],[f12,f140465]) ).
fof(f140465,plain,
! [X0] : mult(mult(X0,op_b),op_a) = X0,
inference(forward_demodulation,[],[f140464,f8]) ).
fof(f8,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f140464,plain,
! [X0] : mult(X0,unit) = mult(mult(X0,op_b),op_a),
inference(forward_demodulation,[],[f140463,f11]) ).
fof(f11,axiom,
unit = mult(op_b,op_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
fof(f140463,plain,
! [X0] : mult(mult(X0,op_b),op_a) = mult(X0,mult(op_b,op_a)),
inference(forward_demodulation,[],[f140384,f139981]) ).
fof(f139981,plain,
! [X0] : mult(X0,op_a) = mult(mult(X0,mult(op_a,op_a)),op_b),
inference(forward_demodulation,[],[f139980,f8]) ).
fof(f139980,plain,
! [X0] : mult(mult(X0,mult(op_a,op_a)),op_b) = mult(mult(X0,op_a),unit),
inference(forward_demodulation,[],[f139979,f10]) ).
fof(f10,axiom,
unit = mult(op_a,op_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
fof(f139979,plain,
! [X0] : mult(mult(X0,mult(op_a,op_a)),op_b) = mult(mult(X0,op_a),mult(op_a,op_b)),
inference(forward_demodulation,[],[f139897,f139820]) ).
fof(f139820,plain,
! [X0] : mult(X0,op_b) = mult(mult(X0,mult(op_b,op_b)),op_a),
inference(forward_demodulation,[],[f139819,f3707]) ).
fof(f3707,plain,
op_b = mult(mult(op_b,op_b),op_a),
inference(forward_demodulation,[],[f3706,f8]) ).
fof(f3706,plain,
mult(op_b,unit) = mult(mult(op_b,op_b),op_a),
inference(forward_demodulation,[],[f3690,f11]) ).
fof(f3690,plain,
mult(mult(op_b,op_b),op_a) = mult(op_b,mult(op_b,op_a)),
inference(superposition,[],[f545,f139]) ).
fof(f139,plain,
op_b = mult(op_a,mult(op_b,op_b)),
inference(forward_demodulation,[],[f135,f9]) ).
fof(f9,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f135,plain,
mult(op_a,mult(op_b,op_b)) = mult(unit,op_b),
inference(superposition,[],[f7,f10]) ).
fof(f7,axiom,
! [X0,X1] : mult(X0,mult(X1,X1)) = mult(mult(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f545,plain,
! [X0] : mult(op_b,mult(mult(op_a,X0),op_a)) = mult(X0,op_a),
inference(forward_demodulation,[],[f530,f9]) ).
fof(f530,plain,
! [X0] : mult(op_b,mult(mult(op_a,X0),op_a)) = mult(mult(unit,X0),op_a),
inference(superposition,[],[f6,f11]) ).
fof(f6,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(mult(X1,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f139819,plain,
! [X0] : mult(X0,mult(mult(op_b,op_b),op_a)) = mult(mult(X0,mult(op_b,op_b)),op_a),
inference(forward_demodulation,[],[f139728,f3635]) ).
fof(f3635,plain,
mult(op_b,op_b) = mult(op_a,mult(op_b,mult(op_b,op_b))),
inference(superposition,[],[f544,f7]) ).
fof(f544,plain,
! [X0] : mult(op_a,mult(mult(op_b,X0),op_b)) = mult(X0,op_b),
inference(forward_demodulation,[],[f528,f9]) ).
fof(f528,plain,
! [X0] : mult(op_a,mult(mult(op_b,X0),op_b)) = mult(mult(unit,X0),op_b),
inference(superposition,[],[f6,f10]) ).
fof(f139728,plain,
! [X0] : mult(X0,mult(mult(op_a,mult(op_b,mult(op_b,op_b))),op_a)) = mult(mult(X0,mult(op_b,op_b)),op_a),
inference(superposition,[],[f6,f8037]) ).
fof(f8037,plain,
! [X0] : mult(X0,mult(op_b,op_b)) = mult(mult(X0,op_a),mult(op_b,mult(op_b,op_b))),
inference(forward_demodulation,[],[f8036,f3707]) ).
fof(f8036,plain,
! [X0] : mult(X0,mult(op_b,op_b)) = mult(mult(X0,op_a),mult(mult(mult(op_b,op_b),op_a),mult(op_b,op_b))),
inference(forward_demodulation,[],[f8035,f8]) ).
fof(f8035,plain,
! [X0] : mult(mult(X0,op_a),mult(mult(mult(op_b,op_b),op_a),mult(op_b,op_b))) = mult(mult(X0,unit),mult(op_b,op_b)),
inference(forward_demodulation,[],[f7903,f11]) ).
fof(f7903,plain,
! [X0] : mult(mult(X0,op_a),mult(mult(mult(op_b,op_b),op_a),mult(op_b,op_b))) = mult(mult(X0,mult(op_b,op_a)),mult(op_b,op_b)),
inference(superposition,[],[f533,f139]) ).
fof(f533,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(mult(X2,X1),X2)) = mult(mult(X0,mult(mult(X1,X2),X1)),X2),
inference(superposition,[],[f6,f6]) ).
fof(f139897,plain,
! [X0] : mult(mult(X0,mult(op_a,op_a)),op_b) = mult(mult(X0,op_a),mult(mult(op_a,mult(op_b,op_b)),op_a)),
inference(superposition,[],[f139820,f525]) ).
fof(f525,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(mult(X1,X2),X1)) = mult(mult(mult(X0,mult(X1,X1)),X2),X1),
inference(superposition,[],[f6,f7]) ).
fof(f140384,plain,
! [X0] : mult(mult(X0,op_b),op_a) = mult(X0,mult(mult(op_b,mult(op_a,op_a)),op_b)),
inference(superposition,[],[f139981,f6]) ).
fof(f12,axiom,
x0 != mult(mult(x0,op_b),op_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GRP715-11 : TPTP v8.1.2. Released v8.1.0.
% 0.06/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.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 20:54:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (5773)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (5776)WARNING: value z3 for option sas not known
% 0.14/0.37 % (5776)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 % (5775)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 % (5780)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 % (5777)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (5779)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 % (5778)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 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 % (5774)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 [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.19/0.42 TRYING [5]
% 0.19/0.43 TRYING [4]
% 0.19/0.52 TRYING [5]
% 0.19/0.52 TRYING [6]
% 2.65/0.75 TRYING [7]
% 3.06/0.82 TRYING [6]
% 6.28/1.30 TRYING [8]
% 7.78/1.47 TRYING [1]
% 7.78/1.47 TRYING [2]
% 7.78/1.48 TRYING [3]
% 7.78/1.49 TRYING [4]
% 8.05/1.52 TRYING [5]
% 8.81/1.62 TRYING [6]
% 10.40/1.84 TRYING [7]
% 10.40/1.85 TRYING [7]
% 17.21/2.84 TRYING [9]
% 18.60/3.02 TRYING [8]
% 33.15/5.09 TRYING [9]
% 33.94/5.29 TRYING [10]
% 40.28/6.12 TRYING [8]
% 71.00/10.58 % (5776)First to succeed.
% 71.00/10.59 % (5776)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5773"
% 71.00/10.59 % (5776)Refutation found. Thanks to Tanya!
% 71.00/10.59 % SZS status Unsatisfiable for theBenchmark
% 71.00/10.59 % SZS output start Proof for theBenchmark
% See solution above
% 71.00/10.59 % (5776)------------------------------
% 71.00/10.59 % (5776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 71.00/10.59 % (5776)Termination reason: Refutation
% 71.00/10.59
% 71.00/10.59 % (5776)Memory used [KB]: 69969
% 71.00/10.59 % (5776)Time elapsed: 10.213 s
% 71.00/10.59 % (5776)Instructions burned: 27673 (million)
% 71.00/10.59 % (5773)Success in time 10.178 s
%------------------------------------------------------------------------------