TSTP Solution File: GRP456-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP456-1 : 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 : n018.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 1.55s 0.56s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 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 : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f327,plain,
$false,
inference(subsumption_resolution,[],[f326,f14]) ).
fof(f14,plain,
sF3 != sF6,
inference(definition_folding,[],[f6,f13,f12,f11,f9,f10,f9,f8,f7]) ).
fof(f7,plain,
divide(identity,b3) = sF0,
introduced(function_definition,[]) ).
fof(f8,plain,
divide(a3,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f10,plain,
divide(sF1,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f9,plain,
divide(identity,c3) = sF2,
introduced(function_definition,[]) ).
fof(f11,plain,
sF4 = divide(b3,sF2),
introduced(function_definition,[]) ).
fof(f12,plain,
divide(identity,sF4) = sF5,
introduced(function_definition,[]) ).
fof(f13,plain,
sF6 = divide(a3,sF5),
introduced(function_definition,[]) ).
fof(f6,plain,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(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(f326,plain,
sF3 = sF6,
inference(forward_demodulation,[],[f269,f267]) ).
fof(f267,plain,
! [X46,X47] : sF3 = divide(divide(sF1,divide(X46,divide(c3,divide(divide(identity,X46),X47)))),X47),
inference(superposition,[],[f154,f131]) ).
fof(f131,plain,
divide(sF3,c3) = sF1,
inference(backward_demodulation,[],[f56,f109]) ).
fof(f109,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(backward_demodulation,[],[f97,f101]) ).
fof(f101,plain,
! [X3] : divide(X3,identity) = X3,
inference(backward_demodulation,[],[f27,f97]) ).
fof(f27,plain,
! [X3] : divide(divide(identity,divide(identity,divide(X3,identity))),identity) = X3,
inference(superposition,[],[f18,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f18,plain,
! [X4,X5] : divide(divide(identity,divide(identity,divide(X4,divide(identity,X5)))),X5) = X4,
inference(superposition,[],[f15,f4]) ).
fof(f15,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f97,plain,
! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
inference(forward_demodulation,[],[f85,f4]) ).
fof(f85,plain,
! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
inference(superposition,[],[f20,f4]) ).
fof(f20,plain,
! [X4,X5] : divide(divide(identity,divide(X4,divide(X5,identity))),divide(identity,X4)) = X5,
inference(superposition,[],[f15,f4]) ).
fof(f56,plain,
divide(divide(identity,divide(identity,sF3)),c3) = sF1,
inference(superposition,[],[f25,f10]) ).
fof(f25,plain,
! [X1] : divide(divide(identity,divide(identity,divide(X1,sF2))),c3) = X1,
inference(superposition,[],[f18,f9]) ).
fof(f154,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X3,X1),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X3,
inference(backward_demodulation,[],[f19,f139]) ).
fof(f139,plain,
! [X3,X4] : divide(identity,divide(X3,X4)) = divide(X4,X3),
inference(forward_demodulation,[],[f138,f101]) ).
fof(f138,plain,
! [X3,X4] : divide(identity,divide(X3,divide(X4,identity))) = divide(X4,X3),
inference(forward_demodulation,[],[f94,f109]) ).
fof(f94,plain,
! [X3,X4] : divide(identity,divide(X3,divide(X4,identity))) = divide(divide(identity,divide(identity,X4)),X3),
inference(superposition,[],[f18,f20]) ).
fof(f19,plain,
! [X2,X3,X0,X1] : divide(divide(identity,divide(divide(X0,divide(X1,divide(divide(identity,X0),X2))),divide(X3,X1))),X2) = X3,
inference(superposition,[],[f15,f15]) ).
fof(f269,plain,
! [X50,X51] : divide(divide(sF1,divide(X50,divide(c3,divide(divide(identity,X50),X51)))),X51) = sF6,
inference(superposition,[],[f154,f174]) ).
fof(f174,plain,
divide(sF6,c3) = sF1,
inference(forward_demodulation,[],[f167,f13]) ).
fof(f167,plain,
divide(divide(a3,sF5),c3) = sF1,
inference(backward_demodulation,[],[f129,f139]) ).
fof(f129,plain,
divide(divide(identity,divide(sF5,a3)),c3) = sF1,
inference(backward_demodulation,[],[f76,f109]) ).
fof(f76,plain,
divide(identity,divide(identity,sF1)) = divide(divide(identity,divide(sF5,a3)),c3),
inference(superposition,[],[f61,f47]) ).
fof(f47,plain,
a3 = divide(divide(identity,divide(identity,sF1)),b3),
inference(superposition,[],[f24,f8]) ).
fof(f24,plain,
! [X0] : divide(divide(identity,divide(identity,divide(X0,sF0))),b3) = X0,
inference(superposition,[],[f18,f7]) ).
fof(f61,plain,
! [X0] : divide(divide(identity,divide(sF5,divide(X0,b3))),c3) = X0,
inference(superposition,[],[f15,f60]) ).
fof(f60,plain,
b3 = divide(divide(identity,sF5),c3),
inference(forward_demodulation,[],[f55,f12]) ).
fof(f55,plain,
b3 = divide(divide(identity,divide(identity,sF4)),c3),
inference(superposition,[],[f25,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP456-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % 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 : n018.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 22:33:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (439)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 (2999ds/191324Mi)
% 0.19/0.47 TRYING [1]
% 0.19/0.47 TRYING [2]
% 0.19/0.47 TRYING [3]
% 0.19/0.48 % (460)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)
% 0.19/0.48 TRYING [4]
% 0.19/0.49 TRYING [5]
% 0.19/0.49 % (448)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (446)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 % (448)Instruction limit reached!
% 0.19/0.50 % (448)------------------------------
% 0.19/0.50 % (448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (448)Termination reason: Unknown
% 0.19/0.50 % (448)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (448)Memory used [KB]: 5373
% 0.19/0.50 % (448)Time elapsed: 0.107 s
% 0.19/0.50 % (448)Instructions burned: 3 (million)
% 0.19/0.50 % (448)------------------------------
% 0.19/0.50 % (448)------------------------------
% 0.19/0.51 % (442)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)
% 0.19/0.51 % (459)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.52 % (465)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (453)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (456)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)
% 0.19/0.53 TRYING [4]
% 0.19/0.53 % (468)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 (2999ds/177Mi)
% 0.19/0.53 % (466)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (443)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)
% 0.19/0.53 % (467)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)
% 0.19/0.53 % (444)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (445)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)
% 0.19/0.53 % (463)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)
% 1.39/0.53 % (449)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)
% 1.39/0.53 % (450)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.39/0.53 % (455)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)
% 1.39/0.54 % (440)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)
% 1.39/0.54 % (452)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.39/0.54 % (451)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)
% 1.39/0.54 % (461)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.39/0.54 % (469)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.39/0.54 % (457)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.39/0.54 % (458)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.54 TRYING [1]
% 1.39/0.54 TRYING [2]
% 1.39/0.55 TRYING [3]
% 1.55/0.55 % (447)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.55/0.55 % (462)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)
% 1.55/0.55 % (447)Instruction limit reached!
% 1.55/0.55 % (447)------------------------------
% 1.55/0.55 % (447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (447)Termination reason: Unknown
% 1.55/0.55 % (447)Termination phase: Saturation
% 1.55/0.55
% 1.55/0.55 % (447)Memory used [KB]: 5500
% 1.55/0.55 % (447)Time elapsed: 0.117 s
% 1.55/0.55 % (447)Instructions burned: 7 (million)
% 1.55/0.55 % (447)------------------------------
% 1.55/0.55 % (447)------------------------------
% 1.55/0.56 % (454)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)
% 1.55/0.56 TRYING [5]
% 1.55/0.56 % (444)First to succeed.
% 1.55/0.56 % (460)Also succeeded, but the first one will report.
% 1.55/0.56 % (444)Refutation found. Thanks to Tanya!
% 1.55/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.55/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.56 % (444)------------------------------
% 1.55/0.56 % (444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56 % (444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56 % (444)Termination reason: Refutation
% 1.55/0.56
% 1.55/0.56 % (444)Memory used [KB]: 5756
% 1.55/0.56 % (444)Time elapsed: 0.161 s
% 1.55/0.56 % (444)Instructions burned: 23 (million)
% 1.55/0.56 % (444)------------------------------
% 1.55/0.56 % (444)------------------------------
% 1.55/0.56 % (436)Success in time 0.21 s
%------------------------------------------------------------------------------