TSTP Solution File: ARI741_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI741_1 : TPTP v8.1.0. Released v7.0.0.
% 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 : n004.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 15:49:08 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 33 ( 18 unt; 8 typ; 0 def)
% Number of atoms : 33 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 93 ( 16 atm; 16 fun; 41 num; 20 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 8 ( 7 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
exp: $real > $real ).
tff(func_def_5,type,
log: $real > $real ).
tff(func_def_6,type,
log2: $real > $real ).
tff(func_def_9,type,
log10: $real > $real ).
tff(func_def_11,type,
pow: ( $real * $real ) > $real ).
tff(func_def_12,type,
sqr: $real > $real ).
tff(func_def_13,type,
sqrt: $real > $real ).
tff(func_def_17,type,
sF0: $real ).
tff(f532,plain,
$false,
inference(subsumption_resolution,[],[f531,f108]) ).
tff(f108,plain,
4.0 != sF0,
inference(definition_folding,[],[f85,f107]) ).
tff(f107,plain,
pow(2.0,2.0) = sF0,
introduced(function_definition,[]) ).
tff(f85,plain,
pow(2.0,2.0) != 4.0,
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
pow(2.0,2.0) != 4.0,
inference(flattening,[],[f25]) ).
tff(f25,negated_conjecture,
( ( ~ pow(2.0,2.0) )
= 4.0 ),
inference(negated_conjecture,[],[f24]) ).
tff(f24,conjecture,
pow(2.0,2.0) = 4.0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pow_2_21) ).
tff(f531,plain,
4.0 = sF0,
inference(backward_demodulation,[],[f107,f529]) ).
tff(f529,plain,
pow(2.0,2.0) = 4.0,
inference(evaluation,[],[f513]) ).
tff(f513,plain,
$product($sum(2.0,0.0),$sum(2.0,0.0)) = pow($sum(2.0,0.0),2.0),
inference(resolution,[],[f477,f105]) ).
tff(f105,plain,
! [X0: $real] :
( ~ $less(0.0,X0)
| ( $product(X0,X0) = pow(X0,2.0) ) ),
inference(definition_unfolding,[],[f103,f84]) ).
tff(f84,plain,
! [X0: $real] : ( sqr(X0) = $product(X0,X0) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,axiom,
! [X0: $real] : ( sqr(X0) = $product(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sqr_def) ).
tff(f103,plain,
! [X0: $real] :
( ( sqr(X0) = pow(X0,2.0) )
| ~ $less(0.0,X0) ),
inference(cnf_transformation,[],[f73]) ).
tff(f73,plain,
! [X0: $real] :
( ( sqr(X0) = pow(X0,2.0) )
| ~ $less(0.0,X0) ),
inference(ennf_transformation,[],[f22]) ).
tff(f22,axiom,
! [X0: $real] :
( $less(0.0,X0)
=> ( sqr(X0) = pow(X0,2.0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pow_x_two) ).
tff(f477,plain,
! [X10: $real] : $less(X10,$sum(2.0,X10)),
inference(evaluation,[],[f464]) ).
tff(f464,plain,
! [X10: $real] : $less(X10,$sum($sum(1.0,X10),1.0)),
inference(resolution,[],[f179,f180]) ).
tff(f180,plain,
! [X0: $real] : $less(X0,$sum(1.0,X0)),
inference(superposition,[],[f159,f31]) ).
tff(f31,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f159,plain,
! [X0: $real] : $less(X0,$sum(X0,1.0)),
inference(resolution,[],[f40,f36]) ).
tff(f36,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f40,plain,
! [X0: $real,X1: $real] :
( $less(X1,$sum(X0,1.0))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f179,plain,
! [X8: $real,X7: $real] :
( ~ $less(X7,X8)
| $less(X7,$sum(X8,1.0)) ),
inference(resolution,[],[f159,f37]) ).
tff(f37,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ARI741=1 : TPTP v8.1.0. Released v7.0.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 16:31:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (5721)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (5729)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (5733)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (5717)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)
% 0.20/0.52 % (5717)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52 % (5717)Terminated due to inappropriate strategy.
% 0.20/0.52 % (5717)------------------------------
% 0.20/0.52 % (5717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (5717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (5717)Termination reason: Inappropriate
% 0.20/0.52
% 0.20/0.52 % (5717)Memory used [KB]: 895
% 0.20/0.52 % (5717)Time elapsed: 0.004 s
% 0.20/0.52 % (5717)Instructions burned: 3 (million)
% 0.20/0.52 % (5717)------------------------------
% 0.20/0.52 % (5717)------------------------------
% 0.20/0.52 % (5743)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (5736)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (5718)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (5725)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (5725)Instruction limit reached!
% 0.20/0.52 % (5725)------------------------------
% 0.20/0.52 % (5725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (5725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (5725)Termination reason: Unknown
% 0.20/0.52 % (5725)Termination phase: Preprocessing 2
% 0.20/0.52
% 0.20/0.52 % (5725)Memory used [KB]: 895
% 0.20/0.52 % (5725)Time elapsed: 0.002 s
% 0.20/0.52 % (5725)Instructions burned: 2 (million)
% 0.20/0.52 % (5725)------------------------------
% 0.20/0.52 % (5725)------------------------------
% 0.20/0.53 % (5734)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (5738)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.53 % (5719)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (5723)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)
% 0.20/0.53 % (5741)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)
% 0.20/0.53 % (5723)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.53 % (5723)Terminated due to inappropriate strategy.
% 0.20/0.53 % (5723)------------------------------
% 0.20/0.53 % (5723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5723)Termination reason: Inappropriate
% 0.20/0.53
% 0.20/0.53 % (5723)Memory used [KB]: 895
% 0.20/0.53 % (5723)Time elapsed: 0.002 s
% 0.20/0.53 % (5723)Instructions burned: 2 (million)
% 0.20/0.53 % (5723)------------------------------
% 0.20/0.53 % (5723)------------------------------
% 0.20/0.53 % (5727)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (5732)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)
% 0.20/0.54 % (5728)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (5722)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 % (5730)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (5724)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (5731)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55 % (5720)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (5734)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.55 % (5734)Terminated due to inappropriate strategy.
% 0.20/0.55 % (5734)------------------------------
% 0.20/0.55 % (5734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5734)Termination reason: Inappropriate
% 0.20/0.55
% 0.20/0.55 % (5734)Memory used [KB]: 895
% 0.20/0.55 % (5734)Time elapsed: 0.004 s
% 0.20/0.55 % (5734)Instructions burned: 3 (million)
% 0.20/0.55 % (5734)------------------------------
% 0.20/0.55 % (5734)------------------------------
% 0.20/0.55 % (5745)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 % (5721)First to succeed.
% 0.20/0.55 % (5747)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55 % (5726)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (5742)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (5740)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55 % (5746)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56 % (5739)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 % (5737)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57 % (5724)Instruction limit reached!
% 0.20/0.57 % (5724)------------------------------
% 0.20/0.57 % (5724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (5724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (5724)Termination reason: Unknown
% 0.20/0.57 % (5724)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (5724)Memory used [KB]: 5500
% 0.20/0.57 % (5724)Time elapsed: 0.105 s
% 0.20/0.57 % (5724)Instructions burned: 7 (million)
% 0.20/0.57 % (5724)------------------------------
% 0.20/0.57 % (5724)------------------------------
% 0.20/0.57 % (5721)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (5721)------------------------------
% 0.20/0.57 % (5721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (5721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (5721)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (5721)Memory used [KB]: 5756
% 0.20/0.57 % (5721)Time elapsed: 0.132 s
% 0.20/0.57 % (5721)Instructions burned: 24 (million)
% 0.20/0.57 % (5721)------------------------------
% 0.20/0.57 % (5721)------------------------------
% 0.20/0.57 % (5716)Success in time 0.208 s
%------------------------------------------------------------------------------