TSTP Solution File: ARI741_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n020.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 15:47:03 EDT 2022
% Result : Theorem 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 24 ( 12 unt; 8 typ; 0 def)
% Number of atoms : 20 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 11 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 40 ( 4 atm; 3 fun; 28 num; 5 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 9 ( 8 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?; 5 :)
% 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(pred_def_3,type,
sP0: $real > $o ).
tff(f114,plain,
$false,
inference(subsumption_resolution,[],[f113,f106]) ).
tff(f106,plain,
sP0(4.0),
inference(inequality_splitting,[],[f91,f105]) ).
tff(f105,plain,
~ sP0(pow(2.0,2.0)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
tff(f91,plain,
pow(2.0,2.0) != 4.0,
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
pow(2.0,2.0) != 4.0,
inference(flattening,[],[f25]) ).
tff(f25,negated_conjecture,
( ( ~ pow(2.0,2.0) )
= 4.0 ),
inference(negated_conjecture,[],[f24]) ).
tff(f24,conjecture,
pow(2.0,2.0) = 4.0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pow_2_21) ).
tff(f113,plain,
~ sP0(4.0),
inference(evaluation,[],[f112]) ).
tff(f112,plain,
~ sP0($product(2.0,2.0)),
inference(superposition,[],[f111,f99]) ).
tff(f99,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(f111,plain,
~ sP0(sqr(2.0)),
inference(evaluation,[],[f108]) ).
tff(f108,plain,
( ~ $less(0.0,2.0)
| ~ sP0(sqr(2.0)) ),
inference(superposition,[],[f105,f89]) ).
tff(f89,plain,
! [X0: $real] :
( ( sqr(X0) = pow(X0,2.0) )
| ~ $less(0.0,X0) ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI741=1 : TPTP v8.1.0. Released v7.0.0.
% 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
% 0.12/0.33 % Computer : n020.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 19:01:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (9063)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 (2999ds/50Mi)
% 0.18/0.49 % (9052)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)
% 0.18/0.50 % (9053)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 (2999ds/32Mi)
% 0.18/0.50 % (9065)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (9073)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (9072)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)
% 0.18/0.51 % (9064)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)
% 0.18/0.51 % (9054)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 (2999ds/36Mi)
% 0.18/0.51 % (9049)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)
% 0.18/0.51 % (9050)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 (2999ds/2Mi)
% 0.18/0.51 % (9054)First to succeed.
% 0.18/0.51 % (9063)Refutation not found, incomplete strategy% (9063)------------------------------
% 0.18/0.51 % (9063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (9053)Refutation not found, incomplete strategy% (9053)------------------------------
% 0.18/0.51 % (9053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (9053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (9053)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (9053)Memory used [KB]: 5500
% 0.18/0.51 % (9053)Time elapsed: 0.116 s
% 0.18/0.51 % (9053)Instructions burned: 3 (million)
% 0.18/0.51 % (9053)------------------------------
% 0.18/0.51 % (9053)------------------------------
% 0.18/0.51 % (9063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (9063)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (9063)Memory used [KB]: 5628
% 0.18/0.51 % (9063)Time elapsed: 0.115 s
% 0.18/0.51 % (9063)Instructions burned: 5 (million)
% 0.18/0.51 % (9063)------------------------------
% 0.18/0.51 % (9063)------------------------------
% 0.18/0.51 % (9075)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)
% 0.18/0.51 % (9049)Instruction limit reached!
% 0.18/0.51 % (9049)------------------------------
% 0.18/0.51 % (9049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (9049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (9049)Termination reason: Unknown
% 0.18/0.51 % (9049)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (9049)Memory used [KB]: 5500
% 0.18/0.51 % (9049)Time elapsed: 0.116 s
% 0.18/0.51 % (9049)Instructions burned: 8 (million)
% 0.18/0.51 % (9049)------------------------------
% 0.18/0.51 % (9049)------------------------------
% 0.18/0.51 % (9072)Refutation not found, incomplete strategy% (9072)------------------------------
% 0.18/0.51 % (9072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (9072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (9072)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51 % (9077)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.51
% 0.18/0.51 % (9072)Memory used [KB]: 1023
% 0.18/0.51 % (9072)Time elapsed: 0.119 s
% 0.18/0.51 % (9072)Instructions burned: 4 (million)
% 0.18/0.51 % (9072)------------------------------
% 0.18/0.51 % (9072)------------------------------
% 0.18/0.51 % (9071)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.51 % (9064)Instruction limit reached!
% 0.18/0.51 % (9064)------------------------------
% 0.18/0.51 % (9064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (9047)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)
% 0.18/0.51 % (9056)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (9050)Instruction limit reached!
% 0.18/0.52 % (9050)------------------------------
% 0.18/0.52 % (9050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (9051)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 (2999ds/37Mi)
% 0.18/0.52 % (9050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (9050)Termination reason: Unknown
% 0.18/0.52 % (9050)Termination phase: Preprocessing 1
% 0.18/0.52
% 0.18/0.52 % (9050)Memory used [KB]: 895
% 0.18/0.52 % (9050)Time elapsed: 0.003 s
% 0.18/0.52 % (9050)Instructions burned: 3 (million)
% 0.18/0.52 % (9050)------------------------------
% 0.18/0.52 % (9050)------------------------------
% 0.18/0.52 % (9055)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 (2999ds/26Mi)
% 0.18/0.52 % (9074)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 (2999ds/47Mi)
% 0.18/0.52 % (9048)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 (2999ds/34Mi)
% 0.18/0.52 % (9067)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.52 % (9073)Refutation not found, incomplete strategy% (9073)------------------------------
% 0.18/0.52 % (9073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (9073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (9073)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (9073)Memory used [KB]: 5500
% 0.18/0.52 % (9073)Time elapsed: 0.094 s
% 0.18/0.52 % (9073)Instructions burned: 4 (million)
% 0.18/0.52 % (9073)------------------------------
% 0.18/0.52 % (9073)------------------------------
% 0.18/0.52 % (9064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (9064)Termination reason: Unknown
% 0.18/0.52 % (9064)Termination phase: Function definition elimination
% 0.18/0.52
% 0.18/0.52 % (9064)Memory used [KB]: 1023
% 0.18/0.52 % (9064)Time elapsed: 0.006 s
% 0.18/0.52 % (9064)Instructions burned: 3 (million)
% 0.18/0.52 % (9064)------------------------------
% 0.18/0.52 % (9064)------------------------------
% 0.18/0.52 % (9056)Instruction limit reached!
% 0.18/0.52 % (9056)------------------------------
% 0.18/0.52 % (9056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (9056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (9056)Termination reason: Unknown
% 0.18/0.52 % (9056)Termination phase: Property scanning
% 0.18/0.52
% 0.18/0.52 % (9056)Memory used [KB]: 895
% 0.18/0.52 % (9056)Time elapsed: 0.004 s
% 0.18/0.52 % (9056)Instructions burned: 2 (million)
% 0.18/0.52 % (9056)------------------------------
% 0.18/0.52 % (9056)------------------------------
% 0.18/0.52 % (9069)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (9062)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.52 % (9069)Instruction limit reached!
% 0.18/0.52 % (9069)------------------------------
% 0.18/0.52 % (9069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (9069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (9069)Termination reason: Unknown
% 0.18/0.52 % (9069)Termination phase: Property scanning
% 0.18/0.52
% 0.18/0.52 % (9069)Memory used [KB]: 895
% 0.18/0.52 % (9069)Time elapsed: 0.002 s
% 0.18/0.52 % (9069)Instructions burned: 3 (million)
% 0.18/0.52 % (9069)------------------------------
% 0.18/0.52 % (9069)------------------------------
% 0.18/0.52 % (9079)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=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.18/0.52 % (9060)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)
% 0.18/0.53 % (9078)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 (2999ds/21Mi)
% 0.18/0.53 % (9058)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.18/0.53 % (9065)Instruction limit reached!
% 0.18/0.53 % (9065)------------------------------
% 0.18/0.53 % (9065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (9065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (9065)Termination reason: Unknown
% 0.18/0.53 % (9065)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (9065)Memory used [KB]: 5500
% 0.18/0.53 % (9065)Time elapsed: 0.004 s
% 0.18/0.53 % (9065)Instructions burned: 3 (million)
% 0.18/0.53 % (9065)------------------------------
% 0.18/0.53 % (9065)------------------------------
% 0.18/0.53 % (9060)Instruction limit reached!
% 0.18/0.53 % (9060)------------------------------
% 0.18/0.53 % (9060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (9060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (9060)Termination reason: Unknown
% 0.18/0.53 % (9060)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (9060)Memory used [KB]: 5500
% 0.18/0.53 % (9060)Time elapsed: 0.004 s
% 0.18/0.53 % (9060)Instructions burned: 4 (million)
% 0.18/0.53 % (9060)------------------------------
% 0.18/0.53 % (9060)------------------------------
% 0.18/0.53 % (9075)Also succeeded, but the first one will report.
% 0.18/0.53 % (9076)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.18/0.53 % (9054)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Theorem for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (9054)------------------------------
% 0.18/0.53 % (9054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (9054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (9054)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (9054)Memory used [KB]: 5500
% 0.18/0.53 % (9054)Time elapsed: 0.097 s
% 0.18/0.53 % (9054)Instructions burned: 4 (million)
% 0.18/0.53 % (9054)------------------------------
% 0.18/0.53 % (9054)------------------------------
% 0.18/0.53 % (9044)Success in time 0.18 s
%------------------------------------------------------------------------------