TSTP Solution File: ARI297_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI297_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : 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 15:45:51 EDT 2022
% Result : Theorem 0.17s 0.52s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 66 ( 0 atm; 17 fun; 34 num; 15 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 13 !; 2 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $rat ).
tff(f199,plain,
$false,
inference(evaluation,[],[f190]) ).
tff(f190,plain,
1/4 != $product(2/5,5/8),
inference(unit_resulting_resolution,[],[f24,f87]) ).
tff(f87,plain,
! [X3: $rat] :
( ( 1/4 != $product(2/5,X3) )
| ( sK0 = X3 ) ),
inference(evaluation,[],[f84]) ).
tff(f84,plain,
! [X3: $rat] :
( ( 2/5 = 0/1 )
| ( sK0 = X3 )
| ( 1/4 != $product(2/5,X3) ) ),
inference(superposition,[],[f25,f29]) ).
tff(f29,plain,
1/4 = $product(2/5,sK0),
inference(superposition,[],[f14,f23]) ).
tff(f23,plain,
1/4 = $product(sK0,2/5),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ( 5/8 != sK0 )
& ( 1/4 = $product(sK0,2/5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
tff(f21,plain,
( ? [X0: $rat] :
( ( 5/8 != X0 )
& ( $product(X0,2/5) = 1/4 ) )
=> ( ( 5/8 != sK0 )
& ( 1/4 = $product(sK0,2/5) ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
? [X0: $rat] :
( ( 5/8 != X0 )
& ( $product(X0,2/5) = 1/4 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $product(X0,2/5) = 1/4 )
=> ( 5/8 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $product(X0,2/5) = 1/4 )
=> ( 5/8 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_product_problem_14) ).
tff(f14,plain,
! [X0: $rat,X1: $rat] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f25,plain,
! [X2: $rat,X3: $rat,X0: $rat] :
( ( $product(X0,X3) != $product(X0,X2) )
| ( 0/1 = X0 )
| ( X2 = X3 ) ),
inference(equality_resolution,[],[f19]) ).
tff(f19,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( ( $product(X0,X2) != X1 )
| ( $product(X0,X3) != X1 )
| ( X2 = X3 )
| ( 0/1 = X0 ) ),
introduced(theory_axiom_156,[]) ).
tff(f24,plain,
5/8 != sK0,
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI297=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n001.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 29 15:54:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.49 % (19089)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.17/0.49 % (19107)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/47Mi)
% 0.17/0.49 % (19099)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.50 % (19105)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.17/0.50 % (19106)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.17/0.50 % (19099)Refutation not found, incomplete strategy% (19099)------------------------------
% 0.17/0.50 % (19099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (19099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (19099)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.50
% 0.17/0.50 % (19099)Memory used [KB]: 5373
% 0.17/0.50 % (19099)Time elapsed: 0.089 s
% 0.17/0.50 % (19099)Instructions burned: 1 (million)
% 0.17/0.50 % (19099)------------------------------
% 0.17/0.50 % (19099)------------------------------
% 0.17/0.50 % (19091)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/26Mi)
% 0.17/0.50 % (19090)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 0.17/0.50 % (19097)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.17/0.51 % (19089)First to succeed.
% 0.17/0.51 % (19083)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.17/0.51 % (19098)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.51 % (19098)Instruction limit reached!
% 0.17/0.51 % (19098)------------------------------
% 0.17/0.51 % (19098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (19098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (19098)Termination reason: Unknown
% 0.17/0.51 % (19098)Termination phase: Property scanning
% 0.17/0.51
% 0.17/0.51 % (19098)Memory used [KB]: 895
% 0.17/0.51 % (19098)Time elapsed: 0.004 s
% 0.17/0.51 % (19098)Instructions burned: 2 (million)
% 0.17/0.51 % (19098)------------------------------
% 0.17/0.51 % (19098)------------------------------
% 0.17/0.52 % (19089)Refutation found. Thanks to Tanya!
% 0.17/0.52 % SZS status Theorem for theBenchmark
% 0.17/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52 % (19089)------------------------------
% 0.17/0.52 % (19089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (19089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (19089)Termination reason: Refutation
% 0.17/0.52
% 0.17/0.52 % (19089)Memory used [KB]: 5628
% 0.17/0.52 % (19089)Time elapsed: 0.119 s
% 0.17/0.52 % (19089)Instructions burned: 10 (million)
% 0.17/0.52 % (19089)------------------------------
% 0.17/0.52 % (19089)------------------------------
% 0.17/0.52 % (19082)Success in time 0.188 s
%------------------------------------------------------------------------------