TSTP Solution File: GRP613-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP613-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 16:16:41 EDT 2022
% Result : Unsatisfiable 1.39s 0.52s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f622,plain,
$false,
inference(equality_resolution,[],[f587]) ).
fof(f587,plain,
! [X0] : inverse(double_divide(X0,inverse(X0))) != inverse(double_divide(a1,inverse(a1))),
inference(superposition,[],[f4,f578]) ).
fof(f578,plain,
! [X18,X19] : double_divide(X19,inverse(X19)) = double_divide(X18,inverse(X18)),
inference(forward_demodulation,[],[f549,f473]) ).
fof(f473,plain,
! [X11,X12] : double_divide(X12,X11) = double_divide(X11,X12),
inference(superposition,[],[f187,f431]) ).
fof(f431,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[],[f218,f152]) ).
fof(f152,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(superposition,[],[f77,f44]) ).
fof(f44,plain,
! [X10,X11] : double_divide(inverse(double_divide(inverse(X10),X10)),inverse(X11)) = X11,
inference(superposition,[],[f33,f27]) ).
fof(f27,plain,
! [X3,X1] : double_divide(inverse(double_divide(inverse(X3),inverse(X1))),X3) = X1,
inference(forward_demodulation,[],[f15,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f15,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(X3),double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(inverse(X1)))),X2)),double_divide(X0,X2)))),X3) = X1,
inference(superposition,[],[f6,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),inverse(X3))),double_divide(X0,X2))),X1) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f33,plain,
! [X10,X11] : double_divide(inverse(X11),double_divide(inverse(X10),X10)) = X11,
inference(superposition,[],[f1,f27]) ).
fof(f77,plain,
! [X36,X37] : double_divide(inverse(double_divide(inverse(X37),inverse(X36))),X36) = X37,
inference(forward_demodulation,[],[f70,f44]) ).
fof(f70,plain,
! [X36,X37,X35] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(X35),X35)),inverse(X37))),inverse(X36))),X36) = X37,
inference(superposition,[],[f1,f44]) ).
fof(f218,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(X0,inverse(X1))) = X0,
inference(superposition,[],[f5,f183]) ).
fof(f183,plain,
! [X29,X30] : double_divide(inverse(X30),double_divide(X29,inverse(X29))) = X30,
inference(superposition,[],[f33,f152]) ).
fof(f5,plain,
! [X2,X0,X1] : double_divide(inverse(X1),double_divide(inverse(double_divide(X0,inverse(X1))),double_divide(X0,inverse(X2)))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f187,plain,
! [X38,X37] : double_divide(X37,double_divide(X37,X38)) = X38,
inference(superposition,[],[f76,f152]) ).
fof(f76,plain,
! [X18,X19] : double_divide(inverse(X19),double_divide(inverse(X19),X18)) = X18,
inference(forward_demodulation,[],[f65,f44]) ).
fof(f65,plain,
! [X18,X19,X17] : double_divide(inverse(X19),double_divide(inverse(double_divide(inverse(double_divide(inverse(X17),X17)),inverse(X19))),X18)) = X18,
inference(superposition,[],[f5,f44]) ).
fof(f549,plain,
! [X18,X19] : double_divide(X18,inverse(X18)) = double_divide(inverse(X19),X19),
inference(backward_demodulation,[],[f85,f473]) ).
fof(f85,plain,
! [X18,X19] : double_divide(inverse(X18),X18) = double_divide(inverse(X19),X19),
inference(superposition,[],[f76,f33]) ).
fof(f4,plain,
inverse(double_divide(b1,inverse(b1))) != inverse(double_divide(a1,inverse(a1))),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP613-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n009.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 22:31:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (22350)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/353Mi)
% 0.20/0.48 % (22358)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/481Mi)
% 0.20/0.50 % (22341)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.51 % (22350)First to succeed.
% 1.39/0.52 % (22364)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/495Mi)
% 1.39/0.52 % (22337)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 1.39/0.52 % (22350)Refutation found. Thanks to Tanya!
% 1.39/0.52 % SZS status Unsatisfiable for theBenchmark
% 1.39/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.52 % (22350)------------------------------
% 1.39/0.52 % (22350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.52 % (22350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.52 % (22350)Termination reason: Refutation
% 1.39/0.52
% 1.39/0.52 % (22350)Memory used [KB]: 6012
% 1.39/0.52 % (22350)Time elapsed: 0.092 s
% 1.39/0.52 % (22350)Instructions burned: 34 (million)
% 1.39/0.52 % (22350)------------------------------
% 1.39/0.52 % (22350)------------------------------
% 1.39/0.52 % (22336)Success in time 0.176 s
%------------------------------------------------------------------------------