TSTP Solution File: GRP715+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP715+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 : n027.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 : Theorem 79.99s 11.83s
% Output : Refutation 79.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 65 ( 49 unt; 0 def)
% Number of atoms : 83 ( 68 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 12 |; 3 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 50 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160362,plain,
$false,
inference(avatar_sat_refutation,[],[f55,f159819,f160332]) ).
fof(f160332,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f160331]) ).
fof(f160331,plain,
( $false
| spl1_2 ),
inference(trivial_inequality_removal,[],[f160281]) ).
fof(f160281,plain,
( sK0 != sK0
| spl1_2 ),
inference(superposition,[],[f54,f160148]) ).
fof(f160148,plain,
! [X0] : mult(mult(X0,op_b),op_a) = X0,
inference(forward_demodulation,[],[f160147,f28]) ).
fof(f28,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] : mult(X0,unit) = X0,
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2] : mult(X2,unit) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f160147,plain,
! [X0] : mult(mult(X0,op_b),op_a) = mult(X0,unit),
inference(forward_demodulation,[],[f160146,f26]) ).
fof(f26,plain,
unit = mult(op_b,op_a),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
unit = mult(op_b,op_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
fof(f160146,plain,
! [X0] : mult(mult(X0,op_b),op_a) = mult(X0,mult(op_b,op_a)),
inference(forward_demodulation,[],[f160065,f159639]) ).
fof(f159639,plain,
! [X0] : mult(X0,op_a) = mult(mult(X0,mult(op_a,op_a)),op_b),
inference(forward_demodulation,[],[f159638,f28]) ).
fof(f159638,plain,
! [X0] : mult(mult(X0,mult(op_a,op_a)),op_b) = mult(mult(X0,op_a),unit),
inference(forward_demodulation,[],[f159637,f25]) ).
fof(f25,plain,
unit = mult(op_a,op_b),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
unit = mult(op_a,op_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
fof(f159637,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,[],[f159553,f159464]) ).
fof(f159464,plain,
! [X0] : mult(X0,op_b) = mult(mult(X0,mult(op_b,op_b)),op_a),
inference(forward_demodulation,[],[f159463,f3901]) ).
fof(f3901,plain,
op_b = mult(mult(op_b,op_b),op_a),
inference(forward_demodulation,[],[f3900,f28]) ).
fof(f3900,plain,
mult(op_b,unit) = mult(mult(op_b,op_b),op_a),
inference(forward_demodulation,[],[f3884,f26]) ).
fof(f3884,plain,
mult(mult(op_b,op_b),op_a) = mult(op_b,mult(op_b,op_a)),
inference(superposition,[],[f349,f63]) ).
fof(f63,plain,
op_b = mult(op_a,mult(op_b,op_b)),
inference(forward_demodulation,[],[f59,f29]) ).
fof(f29,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] : mult(unit,X0) = X0,
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2] : mult(unit,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f59,plain,
mult(op_a,mult(op_b,op_b)) = mult(unit,op_b),
inference(superposition,[],[f32,f25]) ).
fof(f32,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = mult(mult(X1,X0),X0),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = mult(mult(X1,X0),X0),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X2] : mult(X2,mult(X1,X1)) = mult(mult(X2,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f349,plain,
! [X0] : mult(X0,op_a) = mult(op_b,mult(mult(op_a,X0),op_a)),
inference(forward_demodulation,[],[f334,f29]) ).
fof(f334,plain,
! [X0] : mult(op_b,mult(mult(op_a,X0),op_a)) = mult(mult(unit,X0),op_a),
inference(superposition,[],[f35,f26]) ).
fof(f35,plain,
! [X2,X0,X1] : mult(mult(mult(X2,X1),X0),X1) = mult(X2,mult(mult(X1,X0),X1)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] : mult(mult(mult(X2,X1),X0),X1) = mult(X2,mult(mult(X1,X0),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f159463,plain,
! [X0] : mult(mult(X0,mult(op_b,op_b)),op_a) = mult(X0,mult(mult(op_b,op_b),op_a)),
inference(forward_demodulation,[],[f159375,f3828]) ).
fof(f3828,plain,
mult(op_b,op_b) = mult(op_a,mult(op_b,mult(op_b,op_b))),
inference(superposition,[],[f348,f32]) ).
fof(f348,plain,
! [X0] : mult(X0,op_b) = mult(op_a,mult(mult(op_b,X0),op_b)),
inference(forward_demodulation,[],[f332,f29]) ).
fof(f332,plain,
! [X0] : mult(op_a,mult(mult(op_b,X0),op_b)) = mult(mult(unit,X0),op_b),
inference(superposition,[],[f35,f25]) ).
fof(f159375,plain,
! [X0] : mult(mult(X0,mult(op_b,op_b)),op_a) = mult(X0,mult(mult(op_a,mult(op_b,mult(op_b,op_b))),op_a)),
inference(superposition,[],[f35,f7005]) ).
fof(f7005,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,[],[f7004,f3901]) ).
fof(f7004,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,[],[f7003,f28]) ).
fof(f7003,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,[],[f6882,f26]) ).
fof(f6882,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,[],[f337,f63]) ).
fof(f337,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(mult(X2,X1),X2)) = mult(mult(X0,mult(mult(X1,X2),X1)),X2),
inference(superposition,[],[f35,f35]) ).
fof(f159553,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,[],[f159464,f329]) ).
fof(f329,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(mult(X1,X2),X1)) = mult(mult(mult(X0,mult(X1,X1)),X2),X1),
inference(superposition,[],[f35,f32]) ).
fof(f160065,plain,
! [X0] : mult(mult(X0,op_b),op_a) = mult(X0,mult(mult(op_b,mult(op_a,op_a)),op_b)),
inference(superposition,[],[f159639,f35]) ).
fof(f54,plain,
( sK0 != mult(mult(sK0,op_b),op_a)
| spl1_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl1_2
<=> sK0 = mult(mult(sK0,op_b),op_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f159819,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f159818]) ).
fof(f159818,plain,
( $false
| spl1_1 ),
inference(trivial_inequality_removal,[],[f159770]) ).
fof(f159770,plain,
( sK0 != sK0
| spl1_1 ),
inference(superposition,[],[f50,f159636]) ).
fof(f159636,plain,
! [X0] : mult(mult(X0,op_a),op_b) = X0,
inference(forward_demodulation,[],[f159635,f28]) ).
fof(f159635,plain,
! [X0] : mult(mult(X0,op_a),op_b) = mult(X0,unit),
inference(forward_demodulation,[],[f159634,f25]) ).
fof(f159634,plain,
! [X0] : mult(mult(X0,op_a),op_b) = mult(X0,mult(op_a,op_b)),
inference(forward_demodulation,[],[f159552,f159464]) ).
fof(f159552,plain,
! [X0] : mult(mult(X0,op_a),op_b) = mult(X0,mult(mult(op_a,mult(op_b,op_b)),op_a)),
inference(superposition,[],[f159464,f35]) ).
fof(f50,plain,
( sK0 != mult(mult(sK0,op_a),op_b)
| spl1_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl1_1
<=> sK0 = mult(mult(sK0,op_a),op_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f55,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f24,f52,f48]) ).
fof(f24,plain,
( sK0 != mult(mult(sK0,op_b),op_a)
| sK0 != mult(mult(sK0,op_a),op_b) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( sK0 != mult(mult(sK0,op_b),op_a)
| sK0 != mult(mult(sK0,op_a),op_b) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).
fof(f22,plain,
( ? [X0] :
( mult(mult(X0,op_b),op_a) != X0
| mult(mult(X0,op_a),op_b) != X0 )
=> ( sK0 != mult(mult(sK0,op_b),op_a)
| sK0 != mult(mult(sK0,op_a),op_b) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0] :
( mult(mult(X0,op_b),op_a) != X0
| mult(mult(X0,op_a),op_b) != X0 ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] :
( mult(mult(X0,op_b),op_a) = X0
& mult(mult(X0,op_a),op_b) = X0 ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X3] :
( mult(mult(X3,op_b),op_a) = X3
& mult(mult(X3,op_a),op_b) = X3 ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X3] :
( mult(mult(X3,op_b),op_a) = X3
& mult(mult(X3,op_a),op_b) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP715+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n027.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:40:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (13187)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (13188)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 % (13190)WARNING: value z3 for option sas not known
% 0.22/0.39 % (13189)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (13191)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (13192)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)
% 0.22/0.39 % (13193)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)
% 0.22/0.39 % (13194)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)
% 0.22/0.39 % (13190)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)
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 TRYING [3]
% 0.22/0.42 TRYING [4]
% 0.22/0.44 TRYING [4]
% 0.22/0.46 TRYING [5]
% 1.32/0.56 TRYING [5]
% 1.32/0.56 TRYING [6]
% 2.84/0.77 TRYING [7]
% 3.65/0.93 TRYING [6]
% 5.84/1.19 TRYING [8]
% 7.91/1.49 TRYING [1]
% 7.91/1.49 TRYING [2]
% 7.91/1.49 TRYING [3]
% 7.91/1.50 TRYING [4]
% 7.91/1.52 TRYING [5]
% 8.46/1.58 TRYING [6]
% 9.25/1.73 TRYING [7]
% 13.17/2.27 TRYING [8]
% 13.58/2.30 TRYING [9]
% 14.05/2.36 TRYING [7]
% 23.89/3.80 TRYING [9]
% 29.72/4.63 TRYING [10]
% 51.08/7.68 TRYING [11]
% 55.27/8.32 TRYING [8]
% 79.99/11.81 % (13190)First to succeed.
% 79.99/11.81 % (13190)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13187"
% 79.99/11.83 % (13190)Refutation found. Thanks to Tanya!
% 79.99/11.83 % SZS status Theorem for theBenchmark
% 79.99/11.83 % SZS output start Proof for theBenchmark
% See solution above
% 79.99/11.83 % (13190)------------------------------
% 79.99/11.83 % (13190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 79.99/11.83 % (13190)Termination reason: Refutation
% 79.99/11.83
% 79.99/11.83 % (13190)Memory used [KB]: 90273
% 79.99/11.83 % (13190)Time elapsed: 11.415 s
% 79.99/11.83 % (13190)Instructions burned: 28927 (million)
% 79.99/11.83 % (13187)Success in time 11.385 s
%------------------------------------------------------------------------------