TSTP Solution File: GRP715-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP715-10 : 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 : n007.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 12:08:44 EDT 2024
% Result : Unsatisfiable 46.02s 6.93s
% Output : Refutation 46.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 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 : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140153,plain,
$false,
inference(trivial_inequality_removal,[],[f140092]) ).
fof(f140092,plain,
x0 != x0,
inference(superposition,[],[f12,f139978]) ).
fof(f139978,plain,
! [X0] : mult(mult(X0,op_a),op_b) = X0,
inference(forward_demodulation,[],[f139977,f8]) ).
fof(f8,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
fof(f139977,plain,
! [X0] : mult(X0,unit) = mult(mult(X0,op_a),op_b),
inference(forward_demodulation,[],[f139976,f10]) ).
fof(f10,axiom,
unit = mult(op_a,op_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f10) ).
fof(f139976,plain,
! [X0] : mult(mult(X0,op_a),op_b) = mult(X0,mult(op_a,op_b)),
inference(forward_demodulation,[],[f139896,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(f11,axiom,
unit = mult(op_b,op_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/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/sandbox/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/sandbox/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(f139896,plain,
! [X0] : mult(mult(X0,op_a),op_b) = mult(X0,mult(mult(op_a,mult(op_b,op_b)),op_a)),
inference(superposition,[],[f139820,f6]) ).
fof(f12,axiom,
x0 != mult(mult(x0,op_a),op_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP715-10 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:24:48 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (20044)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (20047)WARNING: value z3 for option sas not known
% 0.15/0.38 % (20048)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (20045)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (20046)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (20047)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)
% 0.15/0.38 % (20050)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)
% 0.15/0.38 % (20051)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)
% 0.15/0.38 % (20049)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [4]
% 0.21/0.43 TRYING [4]
% 0.21/0.44 TRYING [5]
% 0.21/0.52 TRYING [5]
% 0.21/0.54 TRYING [6]
% 2.07/0.68 TRYING [7]
% 2.07/0.72 TRYING [6]
% 4.17/1.02 TRYING [8]
% 6.83/1.37 TRYING [7]
% 7.88/1.48 TRYING [1]
% 7.88/1.48 TRYING [2]
% 7.88/1.48 TRYING [3]
% 7.88/1.49 TRYING [4]
% 7.88/1.51 TRYING [5]
% 8.38/1.57 TRYING [6]
% 9.40/1.77 TRYING [7]
% 12.47/2.14 TRYING [8]
% 12.47/2.20 TRYING [9]
% 16.68/2.82 TRYING [9]
% 24.68/3.94 TRYING [8]
% 26.57/4.18 TRYING [10]
% 46.02/6.92 % (20047)First to succeed.
% 46.02/6.93 % (20047)Refutation found. Thanks to Tanya!
% 46.02/6.93 % SZS status Unsatisfiable for theBenchmark
% 46.02/6.93 % SZS output start Proof for theBenchmark
% See solution above
% 46.02/6.93 % (20047)------------------------------
% 46.02/6.93 % (20047)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 46.02/6.93 % (20047)Termination reason: Refutation
% 46.02/6.93
% 46.02/6.93 % (20047)Memory used [KB]: 69858
% 46.02/6.93 % (20047)Time elapsed: 6.538 s
% 46.02/6.93 % (20047)Instructions burned: 27553 (million)
% 46.02/6.93 % (20047)------------------------------
% 46.02/6.93 % (20047)------------------------------
% 46.02/6.93 % (20044)Success in time 6.537 s
%------------------------------------------------------------------------------