TSTP Solution File: ARI298_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI298_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 : n003.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 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% 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 : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 63 ( 0 atm; 15 fun; 35 num; 13 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 : 8 ( 1 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $rat ).
tff(f57,plain,
$false,
inference(trivial_inequality_removal,[],[f56]) ).
tff(f56,plain,
2/5 != 2/5,
inference(superposition,[],[f24,f46]) ).
tff(f46,plain,
2/5 = sK0,
inference(evaluation,[],[f45]) ).
tff(f45,plain,
$product(1/4,$quotient(1/1,5/8)) = sK0,
inference(gaussian_variable_elimination,[],[f44]) ).
tff(f44,plain,
! [X5: $rat] :
( ( sK0 = X5 )
| ( 1/4 != $product(5/8,X5) ) ),
inference(evaluation,[],[f35]) ).
tff(f35,plain,
! [X5: $rat] :
( ( sK0 = X5 )
| ( 5/8 = 0/1 )
| ( 1/4 != $product(5/8,X5) ) ),
inference(superposition,[],[f25,f23]) ).
tff(f23,plain,
1/4 = $product(5/8,sK0),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ( 2/5 != sK0 )
& ( 1/4 = $product(5/8,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
tff(f21,plain,
( ? [X0: $rat] :
( ( 2/5 != X0 )
& ( $product(5/8,X0) = 1/4 ) )
=> ( ( 2/5 != sK0 )
& ( 1/4 = $product(5/8,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
? [X0: $rat] :
( ( 2/5 != X0 )
& ( $product(5/8,X0) = 1/4 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $product(5/8,X0) = 1/4 )
=> ( 2/5 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $product(5/8,X0) = 1/4 )
=> ( 2/5 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_product_problem_15) ).
tff(f25,plain,
! [X2: $rat,X3: $rat,X0: $rat] :
( ( $product(X0,X2) != $product(X0,X3) )
| ( X2 = X3 )
| ( 0/1 = X0 ) ),
inference(equality_resolution,[],[f19]) ).
tff(f19,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( ( $product(X0,X3) != X1 )
| ( 0/1 = X0 )
| ( X2 = X3 )
| ( $product(X0,X2) != X1 ) ),
introduced(theory_axiom_156,[]) ).
tff(f24,plain,
2/5 != sK0,
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ARI298=1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:33:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (19695)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)
% 0.19/0.50 % (19703)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.50 % (19687)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)
% 0.19/0.50 % (19699)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.50 % (19699)Instruction limit reached!
% 0.19/0.50 % (19699)------------------------------
% 0.19/0.50 % (19699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (19699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (19699)Termination reason: Unknown
% 0.19/0.50 % (19699)Termination phase: Property scanning
% 0.19/0.50
% 0.19/0.50 % (19699)Memory used [KB]: 895
% 0.19/0.50 % (19699)Time elapsed: 0.002 s
% 0.19/0.50 % (19699)Instructions burned: 2 (million)
% 0.19/0.50 % (19699)------------------------------
% 0.19/0.50 % (19699)------------------------------
% 0.19/0.50 % (19703)Refutation not found, incomplete strategy% (19703)------------------------------
% 0.19/0.50 % (19703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (19703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (19694)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)
% 0.19/0.51 % (19703)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (19703)Memory used [KB]: 5373
% 0.19/0.51 % (19703)Time elapsed: 0.112 s
% 0.19/0.51 % (19703)Instructions burned: 1 (million)
% 0.19/0.51 % (19703)------------------------------
% 0.19/0.51 % (19703)------------------------------
% 0.19/0.51 % (19691)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.51 % (19709)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)
% 0.19/0.51 % (19710)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)
% 0.19/0.51 % (19700)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.19/0.52 % (19689)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.19/0.52 % (19700)Refutation not found, incomplete strategy% (19700)------------------------------
% 0.19/0.52 % (19700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19700)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (19700)Memory used [KB]: 5373
% 0.19/0.52 % (19700)Time elapsed: 0.124 s
% 0.19/0.52 % (19700)Instructions burned: 2 (million)
% 0.19/0.52 % (19700)------------------------------
% 0.19/0.52 % (19700)------------------------------
% 0.19/0.52 % (19702)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)
% 0.19/0.52 % (19688)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.19/0.52 % (19690)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.52 % (19697)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/35Mi)
% 0.19/0.52 % (19701)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)
% 0.19/0.52 % (19702)Instruction limit reached!
% 0.19/0.52 % (19702)------------------------------
% 0.19/0.52 % (19702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19702)Termination reason: Unknown
% 0.19/0.52 % (19702)Termination phase: SInE selection
% 0.19/0.52
% 0.19/0.52 % (19702)Memory used [KB]: 895
% 0.19/0.52 % (19702)Time elapsed: 0.005 s
% 0.19/0.52 % (19702)Instructions burned: 2 (million)
% 0.19/0.52 % (19702)------------------------------
% 0.19/0.52 % (19702)------------------------------
% 0.19/0.52 % (19715)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.19/0.52 % (19701)First to succeed.
% 0.19/0.52 % (19701)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (19701)------------------------------
% 0.19/0.52 % (19701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19701)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (19701)Memory used [KB]: 5500
% 0.19/0.52 % (19701)Time elapsed: 0.089 s
% 0.19/0.52 % (19701)Instructions burned: 3 (million)
% 0.19/0.52 % (19701)------------------------------
% 0.19/0.52 % (19701)------------------------------
% 0.19/0.52 % (19686)Success in time 0.179 s
%------------------------------------------------------------------------------