TSTP Solution File: BOO029-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : BOO029-1 : TPTP v8.1.0. Released v2.2.0.
% 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 : n002.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 15:50:13 EDT 2022
% Result : Unsatisfiable 2.19s 0.71s
% Output : Refutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1869,plain,
$false,
inference(trivial_inequality_removal,[],[f1840]) ).
fof(f1840,plain,
sF1 != sF1,
inference(superposition,[],[f16,f1821]) ).
fof(f1821,plain,
sF1 = sF3,
inference(superposition,[],[f1816,f15]) ).
fof(f15,plain,
add(a,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f1816,plain,
add(a,sF2) = sF1,
inference(forward_demodulation,[],[f1815,f1667]) ).
fof(f1667,plain,
! [X13] : multiply(X13,sF1) = X13,
inference(superposition,[],[f42,f1643]) ).
fof(f1643,plain,
! [X0] : sF1 = add(X0,sF1),
inference(forward_demodulation,[],[f1642,f13]) ).
fof(f13,plain,
sF1 = add(b,sF0),
introduced(function_definition,[]) ).
fof(f1642,plain,
! [X0] : add(X0,sF1) = add(b,sF0),
inference(forward_demodulation,[],[f1641,f71]) ).
fof(f71,plain,
! [X0] : sF0 = multiply(sF0,add(X0,sF1)),
inference(superposition,[],[f4,f62]) ).
fof(f62,plain,
sF1 = add(sF0,sF1),
inference(superposition,[],[f7,f53]) ).
fof(f53,plain,
add(sF1,sF0) = sF1,
inference(superposition,[],[f30,f39]) ).
fof(f39,plain,
multiply(sF0,sF1) = sF0,
inference(superposition,[],[f27,f13]) ).
fof(f27,plain,
! [X11,X8] : multiply(X8,add(X11,X8)) = X8,
inference(superposition,[],[f4,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,multiply(X0,X2))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(f30,plain,
! [X3,X0] : add(X0,multiply(X3,X0)) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f7,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,add(X0,X2))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2) ).
fof(f1641,plain,
! [X0] : add(b,multiply(sF0,add(X0,sF1))) = add(X0,sF1),
inference(forward_demodulation,[],[f1609,f8]) ).
fof(f8,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f1609,plain,
! [X0] : add(b,multiply(add(X0,sF1),sF0)) = add(X0,sF1),
inference(superposition,[],[f1565,f23]) ).
fof(f23,plain,
! [X0] : b = multiply(b,add(X0,sF1)),
inference(superposition,[],[f4,f13]) ).
fof(f1565,plain,
! [X0] : add(multiply(b,X0),multiply(X0,sF0)) = X0,
inference(superposition,[],[f1471,f8]) ).
fof(f1471,plain,
! [X0] : add(multiply(X0,b),multiply(X0,sF0)) = X0,
inference(superposition,[],[f6,f12]) ).
fof(f12,plain,
inverse(b) = sF0,
introduced(function_definition,[]) ).
fof(f6,axiom,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b2) ).
fof(f42,plain,
! [X2,X3] : multiply(X3,add(X3,X2)) = X3,
inference(superposition,[],[f27,f7]) ).
fof(f1815,plain,
add(multiply(a,sF1),sF2) = sF1,
inference(forward_demodulation,[],[f1804,f8]) ).
fof(f1804,plain,
add(multiply(sF1,a),sF2) = sF1,
inference(superposition,[],[f1472,f1737]) ).
fof(f1737,plain,
! [X4] : multiply(sF1,X4) = X4,
inference(superposition,[],[f8,f1667]) ).
fof(f1472,plain,
! [X1] : add(multiply(X1,a),multiply(X1,sF2)) = X1,
inference(superposition,[],[f6,f14]) ).
fof(f14,plain,
inverse(a) = sF2,
introduced(function_definition,[]) ).
fof(f16,plain,
sF1 != sF3,
inference(definition_folding,[],[f11,f15,f14,f13,f12]) ).
fof(f11,axiom,
add(b,inverse(b)) != add(a,inverse(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equal_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : BOO029-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 16:21:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % (7685)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (7693)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.57 % (7678)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)
% 0.20/0.59 % (7694)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)
% 0.20/0.60 % (7672)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)
% 0.20/0.61 % (7677)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.61 % (7679)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.61 % (7686)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)
% 0.20/0.61 % (7676)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)
% 0.20/0.62 % (7671)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.65/0.62 % (7690)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)
% 1.65/0.63 % (7691)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.65/0.63 % (7670)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)
% 1.91/0.63 % (7683)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)
% 1.91/0.64 % (7684)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.91/0.64 TRYING [1]
% 1.91/0.64 TRYING [2]
% 1.91/0.64 TRYING [3]
% 1.91/0.66 % (7668)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)
% 1.91/0.67 % (7689)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)
% 1.91/0.67 TRYING [4]
% 1.91/0.67 % (7675)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.19/0.68 % (7697)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)
% 2.19/0.68 % (7669)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)
% 2.19/0.68 % (7682)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)
% 2.19/0.69 % (7681)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)
% 2.19/0.69 % (7674)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.19/0.69 % (7675)Instruction limit reached!
% 2.19/0.69 % (7675)------------------------------
% 2.19/0.69 % (7675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.69 % (7675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.69 % (7675)Termination reason: Unknown
% 2.19/0.69 % (7675)Termination phase: Saturation
% 2.19/0.69
% 2.19/0.69 % (7675)Memory used [KB]: 5373
% 2.19/0.69 % (7675)Time elapsed: 0.003 s
% 2.19/0.69 % (7675)Instructions burned: 2 (million)
% 2.19/0.69 % (7675)------------------------------
% 2.19/0.69 % (7675)------------------------------
% 2.19/0.70 % (7688)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.19/0.70 % (7678)First to succeed.
% 2.19/0.70 % (7696)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.19/0.71 % (7687)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)
% 2.19/0.71 % (7678)Refutation found. Thanks to Tanya!
% 2.19/0.71 % SZS status Unsatisfiable for theBenchmark
% 2.19/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.71 % (7678)------------------------------
% 2.19/0.71 % (7678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.71 % (7678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.71 % (7678)Termination reason: Refutation
% 2.19/0.71
% 2.19/0.71 % (7678)Memory used [KB]: 6396
% 2.19/0.71 % (7678)Time elapsed: 0.270 s
% 2.19/0.71 % (7678)Instructions burned: 68 (million)
% 2.19/0.71 % (7678)------------------------------
% 2.19/0.71 % (7678)------------------------------
% 2.19/0.71 % (7666)Success in time 0.349 s
%------------------------------------------------------------------------------