TSTP Solution File: ARI448_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI448_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 : n013.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 15:46:09 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% 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 : 9 ( 4 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: $real ).
tff(f44,plain,
$false,
inference(evaluation,[],[f37]) ).
tff(f37,plain,
29.0 != $product(4.0,7.25),
inference(unit_resulting_resolution,[],[f24,f33]) ).
tff(f33,plain,
! [X3: $real] :
( ( 29.0 != $product(4.0,X3) )
| ( sK0 = X3 ) ),
inference(evaluation,[],[f30]) ).
tff(f30,plain,
! [X3: $real] :
( ( sK0 = X3 )
| ( 29.0 != $product(4.0,X3) )
| ( 4.0 = 0.0 ) ),
inference(superposition,[],[f25,f26]) ).
tff(f26,plain,
29.0 = $product(4.0,sK0),
inference(forward_demodulation,[],[f23,f14]) ).
tff(f14,plain,
! [X0: $real,X1: $real] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f23,plain,
29.0 = $product(sK0,4.0),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
( ( 7.25 != sK0 )
& ( 29.0 = $product(sK0,4.0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
tff(f21,plain,
( ? [X0: $real] :
( ( 7.25 != X0 )
& ( $product(X0,4.0) = 29.0 ) )
=> ( ( 7.25 != sK0 )
& ( 29.0 = $product(sK0,4.0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,plain,
? [X0: $real] :
( ( 7.25 != X0 )
& ( $product(X0,4.0) = 29.0 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $product(X0,4.0) = 29.0 )
=> ( 7.25 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( ( $product(X0,4.0) = 29.0 )
=> ( 7.25 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_product_problem_13) ).
tff(f25,plain,
! [X2: $real,X3: $real,X0: $real] :
( ( $product(X0,X2) != $product(X0,X3) )
| ( X2 = X3 )
| ( 0.0 = X0 ) ),
inference(equality_resolution,[],[f19]) ).
tff(f19,plain,
! [X2: $real,X3: $real,X0: $real,X1: $real] :
( ( $product(X0,X2) != X1 )
| ( 0.0 = X0 )
| ( X2 = X3 )
| ( $product(X0,X3) != X1 ) ),
introduced(theory_axiom_156,[]) ).
tff(f24,plain,
7.25 != sK0,
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI448=1 : TPTP v8.1.0. Released v5.0.0.
% 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
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 15:38:02 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (3327)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 (2999ds/8Mi)
% 0.19/0.49 % (3335)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.49 % (3338)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.49 % (3330)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.49 % (3347)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 (2999ds/46Mi)
% 0.19/0.50 % (3345)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.50 % (3350)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.50 % (3336)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.50 % (3330)Instruction limit reached!
% 0.19/0.50 % (3330)------------------------------
% 0.19/0.50 % (3330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (3336)Instruction limit reached!
% 0.19/0.50 % (3336)------------------------------
% 0.19/0.50 % (3336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (3336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (3336)Termination reason: Unknown
% 0.19/0.50 % (3336)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (3336)Memory used [KB]: 5500
% 0.19/0.50 % (3336)Time elapsed: 0.109 s
% 0.19/0.50 % (3336)Instructions burned: 5 (million)
% 0.19/0.50 % (3336)------------------------------
% 0.19/0.50 % (3336)------------------------------
% 0.19/0.50 % (3325)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 (2999ds/59848Mi)
% 0.19/0.50 % (3338)Refutation not found, incomplete strategy% (3338)------------------------------
% 0.19/0.50 % (3338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (3327)Instruction limit reached!
% 0.19/0.50 % (3327)------------------------------
% 0.19/0.50 % (3327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (3350)First to succeed.
% 0.19/0.50 % (3327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (3327)Termination reason: Unknown
% 0.19/0.50 % (3327)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (3327)Memory used [KB]: 5500
% 0.19/0.50 % (3327)Time elapsed: 0.106 s
% 0.19/0.50 % (3327)Instructions burned: 8 (million)
% 0.19/0.50 % (3327)------------------------------
% 0.19/0.50 % (3327)------------------------------
% 0.19/0.50 % (3340)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 (2999ds/2Mi)
% 0.19/0.50 % (3340)Instruction limit reached!
% 0.19/0.50 % (3340)------------------------------
% 0.19/0.50 % (3340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (3340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (3340)Termination reason: Unknown
% 0.19/0.50 % (3340)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (3340)Memory used [KB]: 5373
% 0.19/0.50 % (3340)Time elapsed: 0.002 s
% 0.19/0.50 % (3340)Instructions burned: 2 (million)
% 0.19/0.50 % (3340)------------------------------
% 0.19/0.50 % (3340)------------------------------
% 0.19/0.51 % (3350)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (3350)------------------------------
% 0.19/0.51 % (3350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (3350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (3350)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (3350)Memory used [KB]: 5500
% 0.19/0.51 % (3350)Time elapsed: 0.109 s
% 0.19/0.51 % (3350)Instructions burned: 3 (million)
% 0.19/0.51 % (3350)------------------------------
% 0.19/0.51 % (3350)------------------------------
% 0.19/0.51 % (3324)Success in time 0.164 s
%------------------------------------------------------------------------------