TSTP Solution File: GRP703+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP703+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n001.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 16:23:53 EDT 2022
% Result : Theorem 1.75s 0.58s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 25 unt; 0 def)
% Number of atoms : 63 ( 62 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 58 ( 33 ~; 18 |; 6 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 45 ( 39 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,plain,
$false,
inference(trivial_inequality_removal,[],[f129]) ).
fof(f129,plain,
mult(sK0,mult(sK1,op_c)) != mult(sK0,mult(sK1,op_c)),
inference(superposition,[],[f120,f39]) ).
fof(f39,plain,
! [X0,X1] : mult(mult(X0,X1),op_c) = mult(X0,mult(X1,op_c)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] : mult(mult(X0,X1),op_c) = mult(X0,mult(X1,op_c)),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f09) ).
fof(f120,plain,
mult(mult(sK0,sK1),op_c) != mult(sK0,mult(sK1,op_c)),
inference(trivial_inequality_removal,[],[f110]) ).
fof(f110,plain,
( mult(op_c,mult(sK0,sK1)) != mult(op_c,mult(sK0,sK1))
| mult(mult(sK0,sK1),op_c) != mult(sK0,mult(sK1,op_c)) ),
inference(backward_demodulation,[],[f109,f38]) ).
fof(f38,plain,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1,X0] : mult(op_c,mult(X0,X1)) = mult(mult(op_c,X0),X1),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
fof(f109,plain,
( mult(mult(sK0,sK1),op_c) != mult(sK0,mult(sK1,op_c))
| mult(op_c,mult(sK0,sK1)) != mult(mult(op_c,sK0),sK1) ),
inference(forward_demodulation,[],[f108,f96]) ).
fof(f96,plain,
op_c = op_e,
inference(forward_demodulation,[],[f95,f33]) ).
fof(f33,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] : mult(X0,unit) = X0,
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1] : mult(X1,unit) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f95,plain,
op_e = mult(op_c,unit),
inference(forward_demodulation,[],[f86,f41]) ).
fof(f41,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/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f86,plain,
! [X9] : op_e = mult(mult(rd(op_c,X9),X9),unit),
inference(superposition,[],[f37,f40]) ).
fof(f40,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] : mult(unit,X0) = X0,
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1] : mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f37,plain,
! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X1,X0)),X0),X1),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X1,X0)),X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f12) ).
fof(f108,plain,
( mult(mult(op_e,sK0),sK1) != mult(op_e,mult(sK0,sK1))
| mult(mult(sK0,sK1),op_c) != mult(sK0,mult(sK1,op_c)) ),
inference(forward_demodulation,[],[f107,f96]) ).
fof(f107,plain,
( mult(mult(sK0,sK1),op_e) != mult(sK0,mult(sK1,op_e))
| mult(mult(op_e,sK0),sK1) != mult(op_e,mult(sK0,sK1)) ),
inference(subsumption_resolution,[],[f106,f36]) ).
fof(f36,plain,
! [X0,X1] : mult(X1,mult(op_c,X0)) = mult(mult(X1,op_c),X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : mult(X1,mult(op_c,X0)) = mult(mult(X1,op_c),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f10) ).
fof(f106,plain,
( mult(mult(op_e,sK0),sK1) != mult(op_e,mult(sK0,sK1))
| mult(sK0,mult(op_c,sK1)) != mult(mult(sK0,op_c),sK1)
| mult(mult(sK0,sK1),op_e) != mult(sK0,mult(sK1,op_e)) ),
inference(backward_demodulation,[],[f35,f96]) ).
fof(f35,plain,
( mult(mult(sK0,sK1),op_e) != mult(sK0,mult(sK1,op_e))
| mult(mult(op_e,sK0),sK1) != mult(op_e,mult(sK0,sK1))
| mult(mult(sK0,op_e),sK1) != mult(sK0,mult(op_e,sK1)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( mult(mult(sK0,sK1),op_e) != mult(sK0,mult(sK1,op_e))
| mult(mult(sK0,op_e),sK1) != mult(sK0,mult(op_e,sK1))
| mult(mult(op_e,sK0),sK1) != mult(op_e,mult(sK0,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f25,f26]) ).
fof(f26,plain,
( ? [X0,X1] :
( mult(mult(X0,X1),op_e) != mult(X0,mult(X1,op_e))
| mult(X0,mult(op_e,X1)) != mult(mult(X0,op_e),X1)
| mult(mult(op_e,X0),X1) != mult(op_e,mult(X0,X1)) )
=> ( mult(mult(sK0,sK1),op_e) != mult(sK0,mult(sK1,op_e))
| mult(mult(sK0,op_e),sK1) != mult(sK0,mult(op_e,sK1))
| mult(mult(op_e,sK0),sK1) != mult(op_e,mult(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1] :
( mult(mult(X0,X1),op_e) != mult(X0,mult(X1,op_e))
| mult(X0,mult(op_e,X1)) != mult(mult(X0,op_e),X1)
| mult(mult(op_e,X0),X1) != mult(op_e,mult(X0,X1)) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
? [X1,X0] :
( mult(X1,mult(X0,op_e)) != mult(mult(X1,X0),op_e)
| mult(mult(X1,op_e),X0) != mult(X1,mult(op_e,X0))
| mult(mult(op_e,X1),X0) != mult(op_e,mult(X1,X0)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X0,X1] :
( mult(X1,mult(X0,op_e)) = mult(mult(X1,X0),op_e)
& mult(mult(X1,op_e),X0) = mult(X1,mult(op_e,X0))
& mult(mult(op_e,X1),X0) = mult(op_e,mult(X1,X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X4,X3] :
( mult(X3,mult(X4,op_e)) = mult(mult(X3,X4),op_e)
& mult(X3,mult(op_e,X4)) = mult(mult(X3,op_e),X4)
& mult(op_e,mult(X3,X4)) = mult(mult(op_e,X3),X4) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X4,X3] :
( mult(X3,mult(X4,op_e)) = mult(mult(X3,X4),op_e)
& mult(X3,mult(op_e,X4)) = mult(mult(X3,op_e),X4)
& mult(op_e,mult(X3,X4)) = mult(mult(op_e,X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP703+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 23:08:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.53 % (29300)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 (2999ds/467Mi)
% 0.19/0.54 % (29282)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 (2999ds/48Mi)
% 0.19/0.54 % (29281)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (29277)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 (2999ds/191324Mi)
% 1.62/0.56 % (29299)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 (2999ds/498Mi)
% 1.62/0.56 TRYING [1]
% 1.62/0.56 TRYING [2]
% 1.62/0.56 % (29296)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 (2999ds/100Mi)
% 1.62/0.56 % (29299)First to succeed.
% 1.62/0.56 % (29284)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.62/0.57 % (29302)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.62/0.57 TRYING [3]
% 1.62/0.57 % (29291)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 (2999ds/68Mi)
% 1.75/0.58 % (29284)Instruction limit reached!
% 1.75/0.58 % (29284)------------------------------
% 1.75/0.58 % (29284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58 % (29284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58 % (29284)Termination reason: Unknown
% 1.75/0.58 % (29284)Termination phase: Saturation
% 1.75/0.58
% 1.75/0.58 % (29284)Memory used [KB]: 5500
% 1.75/0.58 % (29284)Time elapsed: 0.098 s
% 1.75/0.58 % (29284)Instructions burned: 7 (million)
% 1.75/0.58 % (29284)------------------------------
% 1.75/0.58 % (29284)------------------------------
% 1.75/0.58 % (29296)Also succeeded, but the first one will report.
% 1.75/0.58 % (29299)Refutation found. Thanks to Tanya!
% 1.75/0.58 % SZS status Theorem for theBenchmark
% 1.75/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.58 % (29299)------------------------------
% 1.75/0.58 % (29299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58 % (29299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58 % (29299)Termination reason: Refutation
% 1.75/0.58
% 1.75/0.58 % (29299)Memory used [KB]: 1023
% 1.75/0.58 % (29299)Time elapsed: 0.145 s
% 1.75/0.58 % (29299)Instructions burned: 6 (million)
% 1.75/0.58 % (29299)------------------------------
% 1.75/0.58 % (29299)------------------------------
% 1.75/0.58 % (29276)Success in time 0.235 s
%------------------------------------------------------------------------------