TSTP Solution File: SWV121+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV121+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n017.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 18:55:34 EDT 2022
% Result : Theorem 1.71s 0.59s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 100 ( 18 equ)
% Maximal formula atoms : 16 ( 10 avg)
% Number of connectives : 132 ( 42 ~; 36 |; 42 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f420,plain,
$false,
inference(subsumption_resolution,[],[f289,f265]) ).
fof(f265,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ttrue) ).
fof(f289,plain,
~ true,
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ! [X0,X1] :
( ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) )
& ! [X2,X3] :
( ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(r_ds1_filter,X3,X2) = a_select3(r_ds1_filter,X2,X3)
| ~ leq(X2,minus(n3,n1))
| ~ leq(X3,minus(n3,n1)) )
& ! [X4,X5] :
( a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X4)
| ~ leq(X5,minus(n6,n1)) )
& ~ true ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
( ! [X3,X2] :
( ~ leq(X2,minus(n6,n1))
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2) )
& ! [X1,X0] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0)
| ~ leq(X1,minus(n3,n1))
| ~ leq(X0,minus(n3,n1)) )
& ! [X4,X5] :
( a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4)
| ~ leq(n0,X5)
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X4)
| ~ leq(X5,minus(n6,n1)) )
& ~ true ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
( ~ true
& ! [X4,X5] :
( a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1)) )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,minus(n6,n1)) )
& ! [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0)
| ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1))
| ~ leq(X1,minus(n3,n1))
| ~ leq(n0,X1) ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
~ ( ( ! [X4,X5] :
( ( leq(n0,X5)
& leq(n0,X4)
& leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1)) )
=> a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4) )
& ! [X2,X3] :
( ( leq(X3,minus(n6,n1))
& leq(n0,X2)
& leq(n0,X3)
& leq(X2,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2) )
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(X0,minus(n3,n1))
& leq(X1,minus(n3,n1))
& leq(n0,X1) )
=> a_select3(r_ds1_filter,X0,X1) = a_select3(r_ds1_filter,X1,X0) ) )
=> true ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X19,X3] :
( ( leq(n0,X19)
& leq(X3,minus(n3,n1))
& leq(X19,minus(n3,n1))
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X20,X21] :
( ( leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X13,X17] :
( ( leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(X17,minus(n6,n1))
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) ) )
=> true ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X19,X3] :
( ( leq(n0,X19)
& leq(X3,minus(n3,n1))
& leq(X19,minus(n3,n1))
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X20,X21] :
( ( leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X13,X17] :
( ( leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(X17,minus(n6,n1))
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) ) )
=> true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0014) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV121+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % 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 : n017.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 : Tue Aug 30 18:25:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.47/0.56 % (10687)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.47/0.56 % (10705)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)
% 1.47/0.56 % (10696)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.47/0.57 % (10681)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)
% 1.47/0.57 % (10688)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.71/0.57 % (10710)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.71/0.58 % (10693)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.71/0.58 % (10696)First to succeed.
% 1.71/0.58 % (10688)Instruction limit reached!
% 1.71/0.58 % (10688)------------------------------
% 1.71/0.58 % (10688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (10688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (10688)Termination reason: Unknown
% 1.71/0.58 % (10688)Termination phase: Property scanning
% 1.71/0.58
% 1.71/0.58 % (10688)Memory used [KB]: 1151
% 1.71/0.58 % (10688)Time elapsed: 0.012 s
% 1.71/0.58 % (10688)Instructions burned: 7 (million)
% 1.71/0.58 % (10688)------------------------------
% 1.71/0.58 % (10688)------------------------------
% 1.71/0.59 % (10696)Refutation found. Thanks to Tanya!
% 1.71/0.59 % SZS status Theorem for theBenchmark
% 1.71/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.59 % (10696)------------------------------
% 1.71/0.59 % (10696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (10696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (10696)Termination reason: Refutation
% 1.71/0.59
% 1.71/0.59 % (10696)Memory used [KB]: 1279
% 1.71/0.59 % (10696)Time elapsed: 0.018 s
% 1.71/0.59 % (10696)Instructions burned: 12 (million)
% 1.71/0.59 % (10696)------------------------------
% 1.71/0.59 % (10696)------------------------------
% 1.71/0.59 % (10680)Success in time 0.233 s
%------------------------------------------------------------------------------