TSTP Solution File: ARI259_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI259_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 : 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 15:47:50 EDT 2022
% Result : Theorem 0.14s 0.49s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 17 unt; 2 typ; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 88 ( 0 atm; 34 fun; 36 num; 18 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 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 16 !; 2 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK0: $rat ).
tff(func_def_8,type,
sF1: $rat ).
tff(f239,plain,
$false,
inference(subsumption_resolution,[],[f238,f18]) ).
tff(f18,plain,
23/4 != sK0,
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ( 23/4 != sK0 )
& ( 10/1 = $sum(17/4,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
tff(f15,plain,
( ? [X0: $rat] :
( ( 23/4 != X0 )
& ( $sum(17/4,X0) = 10/1 ) )
=> ( ( 23/4 != sK0 )
& ( 10/1 = $sum(17/4,sK0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
? [X0: $rat] :
( ( 23/4 != X0 )
& ( $sum(17/4,X0) = 10/1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $sum(17/4,X0) = 10/1 )
=> ( 23/4 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $sum(17/4,X0) = 10/1 )
=> ( 23/4 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_sum_problem_14) ).
tff(f238,plain,
23/4 = sK0,
inference(evaluation,[],[f232]) ).
tff(f232,plain,
$sum(10/1,$uminus(17/4)) = sK0,
inference(superposition,[],[f135,f131]) ).
tff(f131,plain,
! [X2: $rat,X3: $rat] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
inference(forward_demodulation,[],[f110,f26]) ).
tff(f26,plain,
! [X0: $rat] : ( $sum(0/1,X0) = X0 ),
inference(superposition,[],[f3,f5]) ).
tff(f5,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f110,plain,
! [X2: $rat,X3: $rat] : ( $sum(0/1,X3) = $sum(X2,$sum($uminus(X2),X3)) ),
inference(superposition,[],[f4,f7]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_145,[]) ).
tff(f4,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
introduced(theory_axiom_141,[]) ).
tff(f135,plain,
! [X1: $rat] : ( $sum(10/1,X1) = $sum(17/4,$sum(X1,sK0)) ),
inference(superposition,[],[f113,f3]) ).
tff(f113,plain,
! [X10: $rat] : ( $sum(17/4,$sum(sK0,X10)) = $sum(10/1,X10) ),
inference(superposition,[],[f4,f21]) ).
tff(f21,plain,
10/1 = $sum(17/4,sK0),
inference(backward_demodulation,[],[f19,f20]) ).
tff(f20,plain,
10/1 = sF1,
inference(definition_folding,[],[f17,f19]) ).
tff(f17,plain,
10/1 = $sum(17/4,sK0),
inference(cnf_transformation,[],[f16]) ).
tff(f19,plain,
$sum(17/4,sK0) = sF1,
introduced(function_definition,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : ARI259=1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.29 % Computer : n013.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Aug 29 15:27:16 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.45 % (18772)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.14/0.46 % (18791)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)
% 0.14/0.46 % (18790)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)
% 0.14/0.46 % (18783)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)
% 0.14/0.48 % (18775)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.14/0.48 % (18782)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)
% 0.14/0.49 % (18776)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.49 % (18776)Instruction limit reached!
% 0.14/0.49 % (18776)------------------------------
% 0.14/0.49 % (18776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (18776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (18776)Termination reason: Unknown
% 0.14/0.49 % (18776)Termination phase: Preprocessing 2
% 0.14/0.49
% 0.14/0.49 % (18776)Memory used [KB]: 895
% 0.14/0.49 % (18776)Time elapsed: 0.002 s
% 0.14/0.49 % (18776)Instructions burned: 2 (million)
% 0.14/0.49 % (18776)------------------------------
% 0.14/0.49 % (18776)------------------------------
% 0.14/0.49 % (18778)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.14/0.49 % (18775)Instruction limit reached!
% 0.14/0.49 % (18775)------------------------------
% 0.14/0.49 % (18775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (18779)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)
% 0.14/0.49 % (18780)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.14/0.49 % (18775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (18775)Termination reason: Unknown
% 0.14/0.49 % (18775)Termination phase: Saturation
% 0.14/0.49
% 0.14/0.49 % (18775)Memory used [KB]: 5500
% 0.14/0.49 % (18775)Time elapsed: 0.085 s
% 0.14/0.49 % (18775)Instructions burned: 7 (million)
% 0.14/0.49 % (18775)------------------------------
% 0.14/0.49 % (18775)------------------------------
% 0.14/0.49 % (18783)First to succeed.
% 0.14/0.49 % (18783)Refutation found. Thanks to Tanya!
% 0.14/0.49 % SZS status Theorem for theBenchmark
% 0.14/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.49 % (18783)------------------------------
% 0.14/0.49 % (18783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (18783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (18783)Termination reason: Refutation
% 0.14/0.49
% 0.14/0.49 % (18783)Memory used [KB]: 1151
% 0.14/0.49 % (18783)Time elapsed: 0.080 s
% 0.14/0.49 % (18783)Instructions burned: 13 (million)
% 0.14/0.49 % (18783)------------------------------
% 0.14/0.49 % (18783)------------------------------
% 0.14/0.49 % (18767)Success in time 0.191 s
%------------------------------------------------------------------------------