TSTP Solution File: GRP459-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP459-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n017.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 16:22:34 EDT 2022
% Result : Unsatisfiable 1.41s 0.72s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 45 unt; 0 def)
% Number of atoms : 45 ( 44 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f759,plain,
$false,
inference(subsumption_resolution,[],[f758,f14]) ).
fof(f14,plain,
sF3 != sF6,
inference(definition_folding,[],[f6,f13,f7,f12,f11,f10,f9,f8,f7]) ).
fof(f8,plain,
divide(b3,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f9,plain,
divide(identity,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f10,plain,
sF3 = divide(a3,sF2),
introduced(function_definition,[]) ).
fof(f11,plain,
divide(identity,b3) = sF4,
introduced(function_definition,[]) ).
fof(f12,plain,
sF5 = divide(a3,sF4),
introduced(function_definition,[]) ).
fof(f7,plain,
sF0 = divide(identity,c3),
introduced(function_definition,[]) ).
fof(f13,plain,
sF6 = divide(sF5,sF0),
introduced(function_definition,[]) ).
fof(f6,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f758,plain,
sF3 = sF6,
inference(forward_demodulation,[],[f757,f141]) ).
fof(f141,plain,
! [X2] : divide(identity,divide(identity,X2)) = X2,
inference(forward_demodulation,[],[f140,f125]) ).
fof(f125,plain,
! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
inference(forward_demodulation,[],[f111,f4]) ).
fof(f4,axiom,
! [X0] : divide(X0,X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f111,plain,
! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
inference(superposition,[],[f23,f4]) ).
fof(f23,plain,
! [X0,X1] : divide(divide(identity,divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
inference(forward_demodulation,[],[f20,f4]) ).
fof(f20,plain,
! [X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f140,plain,
! [X2] : divide(identity,divide(identity,X2)) = divide(identity,divide(identity,divide(X2,identity))),
inference(forward_demodulation,[],[f130,f4]) ).
fof(f130,plain,
! [X2] : divide(identity,divide(identity,divide(X2,divide(identity,identity)))) = divide(identity,divide(identity,X2)),
inference(superposition,[],[f125,f19]) ).
fof(f19,plain,
! [X6,X7] : divide(divide(identity,divide(identity,divide(X6,divide(identity,X7)))),X7) = X6,
inference(superposition,[],[f1,f4]) ).
fof(f757,plain,
sF6 = divide(identity,divide(identity,sF3)),
inference(forward_demodulation,[],[f756,f561]) ).
fof(f561,plain,
divide(identity,sF3) = divide(sF2,a3),
inference(superposition,[],[f419,f10]) ).
fof(f419,plain,
! [X10,X11] : divide(X11,X10) = divide(identity,divide(X10,X11)),
inference(forward_demodulation,[],[f418,f141]) ).
fof(f418,plain,
! [X10,X11] : divide(X11,divide(identity,divide(identity,X10))) = divide(identity,divide(X10,X11)),
inference(forward_demodulation,[],[f352,f144]) ).
fof(f144,plain,
! [X1] : divide(X1,identity) = X1,
inference(forward_demodulation,[],[f134,f4]) ).
fof(f134,plain,
! [X1] : divide(X1,divide(identity,identity)) = X1,
inference(superposition,[],[f23,f125]) ).
fof(f352,plain,
! [X10,X11] : divide(X11,divide(identity,divide(identity,X10))) = divide(identity,divide(X10,divide(X11,identity))),
inference(superposition,[],[f146,f23]) ).
fof(f146,plain,
! [X4,X5] : divide(divide(X5,X4),divide(identity,X4)) = X5,
inference(forward_demodulation,[],[f145,f141]) ).
fof(f145,plain,
! [X4,X5] : divide(divide(identity,divide(identity,divide(X5,X4))),divide(identity,X4)) = X5,
inference(forward_demodulation,[],[f136,f144]) ).
fof(f136,plain,
! [X4,X5] : divide(divide(identity,divide(identity,divide(X5,X4))),divide(identity,divide(X4,identity))) = X5,
inference(superposition,[],[f19,f125]) ).
fof(f756,plain,
divide(identity,divide(sF2,a3)) = sF6,
inference(forward_demodulation,[],[f755,f13]) ).
fof(f755,plain,
divide(identity,divide(sF2,a3)) = divide(sF5,sF0),
inference(forward_demodulation,[],[f754,f7]) ).
fof(f754,plain,
divide(identity,divide(sF2,a3)) = divide(sF5,divide(identity,c3)),
inference(superposition,[],[f146,f243]) ).
fof(f243,plain,
sF5 = divide(divide(identity,divide(sF2,a3)),c3),
inference(superposition,[],[f55,f201]) ).
fof(f201,plain,
a3 = divide(sF5,b3),
inference(superposition,[],[f72,f141]) ).
fof(f72,plain,
a3 = divide(divide(identity,divide(identity,sF5)),b3),
inference(superposition,[],[f32,f12]) ).
fof(f32,plain,
! [X2] : divide(divide(identity,divide(identity,divide(X2,sF4))),b3) = X2,
inference(superposition,[],[f19,f11]) ).
fof(f55,plain,
! [X0] : divide(divide(identity,divide(sF2,divide(X0,b3))),c3) = X0,
inference(forward_demodulation,[],[f54,f4]) ).
fof(f54,plain,
! [X0] : divide(divide(divide(sF2,sF2),divide(sF2,divide(X0,b3))),c3) = X0,
inference(superposition,[],[f1,f49]) ).
fof(f49,plain,
b3 = divide(divide(identity,sF2),c3),
inference(forward_demodulation,[],[f46,f9]) ).
fof(f46,plain,
b3 = divide(divide(identity,divide(identity,sF1)),c3),
inference(superposition,[],[f30,f8]) ).
fof(f30,plain,
! [X0] : divide(divide(identity,divide(identity,divide(X0,sF0))),c3) = X0,
inference(superposition,[],[f19,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP459-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:53:50 EDT 2022
% 0.12/0.34 % CPUTime :
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% 0.19/0.51 ipcrm: permission denied for id (436371583)
% 0.62/0.63 % (18164)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 (2998ds/37Mi)
% 0.62/0.64 % (18181)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.62/0.65 % (18172)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.26/0.66 % (18166)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.26/0.67 % (18161)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 (2998ds/191324Mi)
% 1.26/0.67 % (18174)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.26/0.67 % (18189)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 (2998ds/68Mi)
% 1.26/0.67 % (18176)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 (2998ds/68Mi)
% 1.41/0.68 % (18190)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 (2998ds/177Mi)
% 1.41/0.69 % (18175)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.41/0.69 % (18186)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 (2998ds/467Mi)
% 1.41/0.69 % (18182)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 (2998ds/100Mi)
% 1.41/0.69 TRYING [1]
% 1.41/0.69 % (18163)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.41/0.69 TRYING [2]
% 1.41/0.69 TRYING [3]
% 1.41/0.69 % (18183)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 (2998ds/176Mi)
% 1.41/0.69 % (18165)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.41/0.69 TRYING [4]
% 1.41/0.70 % (18177)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 (2998ds/75Mi)
% 1.41/0.70 % (18167)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 (2998ds/48Mi)
% 1.41/0.70 % (18168)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.41/0.70 TRYING [1]
% 1.41/0.70 % (18164)Instruction limit reached!
% 1.41/0.70 % (18164)------------------------------
% 1.41/0.70 % (18164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.70 % (18164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.70 % (18164)Termination reason: Unknown
% 1.41/0.70 % (18164)Termination phase: Saturation
% 1.41/0.70
% 1.41/0.70 % (18164)Memory used [KB]: 1535
% 1.41/0.70 % (18164)Time elapsed: 0.131 s
% 1.41/0.70 % (18164)Instructions burned: 39 (million)
% 1.41/0.70 % (18164)------------------------------
% 1.41/0.70 % (18164)------------------------------
% 1.41/0.70 TRYING [2]
% 1.41/0.70 TRYING [3]
% 1.41/0.70 % (18178)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 (2998ds/99Mi)
% 1.41/0.70 % (18191)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.41/0.70 % (18169)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.41/0.70 % (18179)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.41/0.70 TRYING [1]
% 1.41/0.70 TRYING [2]
% 1.41/0.70 TRYING [3]
% 1.41/0.70 % (18185)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 (2998ds/498Mi)
% 1.41/0.70 % (18187)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.41/0.70 % (18171)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 (2998ds/51Mi)
% 1.41/0.71 TRYING [4]
% 1.41/0.71 % (18170)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.41/0.71 % (18170)Instruction limit reached!
% 1.41/0.71 % (18170)------------------------------
% 1.41/0.71 % (18170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.71 % (18170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.71 % (18170)Termination reason: Unknown
% 1.41/0.71 % (18170)Termination phase: Saturation
% 1.41/0.71
% 1.41/0.71 % (18170)Memory used [KB]: 5373
% 1.41/0.71 % (18170)Time elapsed: 0.152 s
% 1.41/0.71 % (18170)Instructions burned: 2 (million)
% 1.41/0.71 % (18170)------------------------------
% 1.41/0.71 % (18170)------------------------------
% 1.41/0.71 % (18169)Instruction limit reached!
% 1.41/0.71 % (18169)------------------------------
% 1.41/0.71 % (18169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.71 % (18169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.71 % (18169)Termination reason: Unknown
% 1.41/0.71 % (18169)Termination phase: Saturation
% 1.41/0.71
% 1.41/0.71 % (18169)Memory used [KB]: 5500
% 1.41/0.71 % (18169)Time elapsed: 0.101 s
% 1.41/0.71 % (18169)Instructions burned: 7 (million)
% 1.41/0.71 % (18169)------------------------------
% 1.41/0.71 % (18169)------------------------------
% 1.41/0.71 % (18188)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.41/0.71 % (18173)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.41/0.71 % (18192)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 (2998ds/355Mi)
% 1.41/0.71 TRYING [4]
% 1.41/0.72 % (18174)First to succeed.
% 1.41/0.72 % (18184)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.41/0.72 % (18174)Refutation found. Thanks to Tanya!
% 1.41/0.72 % SZS status Unsatisfiable for theBenchmark
% 1.41/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.72 % (18174)------------------------------
% 1.41/0.72 % (18174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.72 % (18174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.72 % (18174)Termination reason: Refutation
% 1.41/0.72
% 1.41/0.72 % (18174)Memory used [KB]: 5884
% 1.41/0.72 % (18174)Time elapsed: 0.138 s
% 1.41/0.72 % (18174)Instructions burned: 34 (million)
% 1.41/0.72 % (18174)------------------------------
% 1.41/0.72 % (18174)------------------------------
% 1.41/0.72 % (17949)Success in time 0.37 s
%------------------------------------------------------------------------------