TSTP Solution File: ARI432_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI432_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_sat --cores 0 -t %d %s
% Computer : n023.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 15:48:14 EDT 2022
% Result : Theorem 0.10s 0.42s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 22 unt; 3 typ; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 107 ( 0 atm; 46 fun; 41 num; 20 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 : 11 ( 3 usr; 8 con; 0-2 aty)
% Number of variables : 20 ( 18 !; 2 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $real ).
tff(func_def_9,type,
sF1: $real ).
tff(func_def_10,type,
sF2: $real ).
tff(f279,plain,
$false,
inference(subsumption_resolution,[],[f278,f19]) ).
tff(f19,plain,
4.0 != sK0,
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 4.0 != sK0 )
& ( 12.05 = $sum(16.05,$uminus(sK0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $real] :
( ( 4.0 != X0 )
& ( 12.05 = $sum(16.05,$uminus(X0)) ) )
=> ( ( 4.0 != sK0 )
& ( 12.05 = $sum(16.05,$uminus(sK0)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $real] :
( ( 4.0 != X0 )
& ( 12.05 = $sum(16.05,$uminus(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $real] :
( ( 12.05 = $sum(16.05,$uminus(X0)) )
=> ( 4.0 = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] :
( ( $difference(16.05,X0) = 12.05 )
=> ( 4.0 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] :
( ( $difference(16.05,X0) = 12.05 )
=> ( 4.0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_difference_problem_8) ).
tff(f278,plain,
4.0 = sK0,
inference(evaluation,[],[f249]) ).
tff(f249,plain,
$uminus(-4.0) = sK0,
inference(backward_demodulation,[],[f24,f243]) ).
tff(f243,plain,
-4.0 = sF1,
inference(evaluation,[],[f238]) ).
tff(f238,plain,
$sum(12.05,$uminus(16.05)) = sF1,
inference(superposition,[],[f128,f133]) ).
tff(f133,plain,
! [X0: $real] : ( $sum(12.05,X0) = $sum(16.05,$sum(X0,sF1)) ),
inference(superposition,[],[f108,f4]) ).
tff(f4,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f108,plain,
! [X10: $real] : ( $sum(12.05,X10) = $sum(16.05,$sum(sF1,X10)) ),
inference(superposition,[],[f5,f23]) ).
tff(f23,plain,
12.05 = $sum(16.05,sF1),
inference(backward_demodulation,[],[f21,f22]) ).
tff(f22,plain,
12.05 = sF2,
inference(definition_folding,[],[f18,f21,f20]) ).
tff(f20,plain,
$uminus(sK0) = sF1,
introduced(function_definition,[]) ).
tff(f18,plain,
12.05 = $sum(16.05,$uminus(sK0)),
inference(cnf_transformation,[],[f17]) ).
tff(f21,plain,
sF2 = $sum(16.05,sF1),
introduced(function_definition,[]) ).
tff(f5,plain,
! [X2: $real,X0: $real,X1: $real] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f128,plain,
! [X2: $real,X3: $real] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(forward_demodulation,[],[f105,f29]) ).
tff(f29,plain,
! [X0: $real] : ( $sum(0.0,X0) = X0 ),
inference(superposition,[],[f6,f4]) ).
tff(f6,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f105,plain,
! [X2: $real,X3: $real] : ( $sum(X2,$sum($uminus(X2),X3)) = $sum(0.0,X3) ),
inference(superposition,[],[f5,f8]) ).
tff(f8,plain,
! [X0: $real] : ( $sum(X0,$uminus(X0)) = 0.0 ),
introduced(theory_axiom_145,[]) ).
tff(f24,plain,
$uminus(sF1) = sK0,
inference(superposition,[],[f14,f20]) ).
tff(f14,plain,
! [X0: $real] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_153,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.06 % Problem : ARI432=1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.06/0.25 % Computer : n023.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Aug 29 16:01:35 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.10/0.34 % (28068)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 (3000ds/48Mi)
% 0.10/0.35 % (28092)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 (3000ds/355Mi)
% 0.10/0.35 % (28091)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.10/0.35 % (28074)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.10/0.36 % (28063)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 (3000ds/191324Mi)
% 0.10/0.36 % (28081)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.10/0.36 % (28063)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.10/0.36 % (28063)Terminated due to inappropriate strategy.
% 0.10/0.36 % (28063)------------------------------
% 0.10/0.36 % (28063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.36 % (28063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.36 % (28063)Termination reason: Inappropriate
% 0.10/0.36
% 0.10/0.36 % (28063)Memory used [KB]: 895
% 0.10/0.36 % (28063)Time elapsed: 0.004 s
% 0.10/0.36 % (28063)Instructions burned: 1 (million)
% 0.10/0.36 % (28063)------------------------------
% 0.10/0.36 % (28063)------------------------------
% 0.10/0.36 % (28069)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.10/0.36 % (28069)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.10/0.36 % (28071)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.10/0.36 % (28070)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.10/0.37 % (28072)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 (3000ds/51Mi)
% 0.10/0.37 % (28067)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.10/0.37 % (28069)Terminated due to inappropriate strategy.
% 0.10/0.37 % (28069)------------------------------
% 0.10/0.37 % (28069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.37 % (28069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.37 % (28069)Termination reason: Inappropriate
% 0.10/0.37
% 0.10/0.37 % (28069)Memory used [KB]: 895
% 0.10/0.37 % (28069)Time elapsed: 0.003 s
% 0.10/0.37 % (28069)Instructions burned: 2 (million)
% 0.10/0.37 % (28069)------------------------------
% 0.10/0.37 % (28069)------------------------------
% 0.10/0.37 % (28073)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.10/0.37 % (28065)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 (3000ds/37Mi)
% 0.10/0.37 % (28066)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.10/0.37 % (28071)Instruction limit reached!
% 0.10/0.37 % (28071)------------------------------
% 0.10/0.37 % (28071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.38 % (28070)Instruction limit reached!
% 0.10/0.38 % (28070)------------------------------
% 0.10/0.38 % (28070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.38 % (28086)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 (3000ds/467Mi)
% 0.10/0.38 % (28071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.38 % (28071)Termination reason: Unknown
% 0.10/0.38 % (28071)Termination phase: Saturation
% 0.10/0.38
% 0.10/0.38 % (28071)Memory used [KB]: 5373
% 0.10/0.38 % (28071)Time elapsed: 0.078 s
% 0.10/0.38 % (28071)Instructions burned: 2 (million)
% 0.10/0.38 % (28071)------------------------------
% 0.10/0.38 % (28071)------------------------------
% 0.10/0.38 % (28075)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.10/0.38 % (28084)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.10/0.39 % (28076)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.10/0.39 % (28078)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 (3000ds/75Mi)
% 0.10/0.39 % (28082)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 (3000ds/100Mi)
% 0.10/0.39 % (28089)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 (3000ds/68Mi)
% 0.10/0.39 % (28087)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.10/0.39 % (28070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.39 % (28070)Termination reason: Unknown
% 0.10/0.39 % (28070)Termination phase: Saturation
% 0.10/0.39
% 0.10/0.39 % (28070)Memory used [KB]: 5500
% 0.10/0.39 % (28070)Time elapsed: 0.082 s
% 0.10/0.39 % (28070)Instructions burned: 7 (million)
% 0.10/0.39 % (28070)------------------------------
% 0.10/0.39 % (28070)------------------------------
% 0.10/0.39 % (28090)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 (3000ds/177Mi)
% 0.10/0.39 % (28083)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 (3000ds/176Mi)
% 0.10/0.39 % (28080)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.10/0.39 % (28080)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.10/0.39 % (28080)Terminated due to inappropriate strategy.
% 0.10/0.39 % (28080)------------------------------
% 0.10/0.39 % (28080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.39 % (28080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.39 % (28080)Termination reason: Inappropriate
% 0.10/0.39
% 0.10/0.39 % (28080)Memory used [KB]: 895
% 0.10/0.39 % (28080)Time elapsed: 0.002 s
% 0.10/0.39 % (28080)Instructions burned: 1 (million)
% 0.10/0.39 % (28080)------------------------------
% 0.10/0.39 % (28080)------------------------------
% 0.10/0.40 % (28085)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 (3000ds/498Mi)
% 0.10/0.40 % (28088)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.10/0.40 % (28079)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 (3000ds/99Mi)
% 0.10/0.40 % (28077)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 (3000ds/68Mi)
% 0.10/0.41 % (28064)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.10/0.41 % (28068)Instruction limit reached!
% 0.10/0.41 % (28068)------------------------------
% 0.10/0.41 % (28068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.42 % (28078)First to succeed.
% 0.10/0.42 % (28083)Also succeeded, but the first one will report.
% 0.10/0.42 % (28078)Refutation found. Thanks to Tanya!
% 0.10/0.42 % SZS status Theorem for theBenchmark
% 0.10/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.42 % (28078)------------------------------
% 0.10/0.42 % (28078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.42 % (28078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.42 % (28078)Termination reason: Refutation
% 0.10/0.42
% 0.10/0.42 % (28078)Memory used [KB]: 1151
% 0.10/0.42 % (28078)Time elapsed: 0.119 s
% 0.10/0.42 % (28078)Instructions burned: 14 (million)
% 0.10/0.42 % (28078)------------------------------
% 0.10/0.42 % (28078)------------------------------
% 0.10/0.42 % (28062)Success in time 0.16 s
%------------------------------------------------------------------------------