TSTP Solution File: GRP046-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP046-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n010.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 16:19:15 EDT 2022
% Result : Unsatisfiable 1.34s 0.52s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 32 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f213,plain,
$false,
inference(subsumption_resolution,[],[f207,f12]) ).
fof(f12,plain,
~ equalish(sF0,sF1),
inference(definition_folding,[],[f9,f11,f10]) ).
fof(f10,plain,
multiply(a,c) = sF0,
introduced(function_definition,[]) ).
fof(f11,plain,
multiply(b,c) = sF1,
introduced(function_definition,[]) ).
fof(f9,axiom,
~ equalish(multiply(a,c),multiply(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiply_substitution1) ).
fof(f207,plain,
equalish(sF0,sF1),
inference(resolution,[],[f192,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f4,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| equalish(X2,X3)
| ~ product(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f192,plain,
product(identity,sF0,sF1),
inference(forward_demodulation,[],[f183,f11]) ).
fof(f183,plain,
product(identity,sF0,multiply(b,c)),
inference(resolution,[],[f103,f41]) ).
fof(f41,plain,
product(identity,a,b),
inference(resolution,[],[f22,f1]) ).
fof(f22,plain,
! [X0,X1] :
( ~ product(X0,X1,a)
| product(X0,X1,b) ),
inference(resolution,[],[f7,f8]) ).
fof(f8,axiom,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ equalish(X0,X1)
| product(X3,X2,X1)
| ~ product(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution3) ).
fof(f103,plain,
! [X21,X22] :
( ~ product(X21,a,X22)
| product(X21,sF0,multiply(X22,c)) ),
inference(resolution,[],[f25,f13]) ).
fof(f13,plain,
product(a,c,sF0),
inference(superposition,[],[f3,f10]) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
fof(f25,plain,
! [X10,X11,X8,X9,X12] :
( ~ product(X12,X11,X9)
| product(X8,X9,multiply(X10,X11))
| ~ product(X8,X12,X10) ),
inference(resolution,[],[f5,f3]) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X2,X3)
| product(X0,X5,X3)
| ~ product(X0,X1,X4)
| ~ product(X1,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP046-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n010.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 22:02:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47 % (13235)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)
% 0.19/0.49 % (13260)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.49 % (13258)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)
% 0.19/0.49 % (13249)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)
% 0.19/0.50 % (13240)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)
% 0.19/0.50 % (13251)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50 % (13248)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)
% 0.19/0.50 % (13244)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (13241)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (13257)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)
% 0.19/0.51 % (13259)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.34/0.51 % (13236)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)
% 1.34/0.51 % (13234)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)
% 1.34/0.51 % (13249)First to succeed.
% 1.34/0.51 % (13239)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)
% 1.34/0.51 % (13234)Refutation not found, incomplete strategy% (13234)------------------------------
% 1.34/0.51 % (13234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.52 % (13234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.52 % (13234)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.52
% 1.34/0.52 % (13234)Memory used [KB]: 5373
% 1.34/0.52 % (13234)Time elapsed: 0.122 s
% 1.34/0.52 % (13234)Instructions burned: 1 (million)
% 1.34/0.52 % (13234)------------------------------
% 1.34/0.52 % (13234)------------------------------
% 1.34/0.52 TRYING [4]
% 1.34/0.52 % (13249)Refutation found. Thanks to Tanya!
% 1.34/0.52 % SZS status Unsatisfiable for theBenchmark
% 1.34/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.52 % (13249)------------------------------
% 1.34/0.52 % (13249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.52 % (13249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.52 % (13249)Termination reason: Refutation
% 1.34/0.52
% 1.34/0.52 % (13249)Memory used [KB]: 1023
% 1.34/0.52 % (13249)Time elapsed: 0.072 s
% 1.34/0.52 % (13249)Instructions burned: 13 (million)
% 1.34/0.52 % (13249)------------------------------
% 1.34/0.52 % (13249)------------------------------
% 1.34/0.52 % (13230)Success in time 0.18 s
%------------------------------------------------------------------------------