TSTP Solution File: BOO013-4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n019.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 15:49:24 EDT 2022
% Result : Unsatisfiable 1.98s 0.63s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f592,plain,
$false,
inference(subsumption_resolution,[],[f591,f11]) ).
fof(f11,axiom,
b != inverse(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_inverse_is_b) ).
fof(f591,plain,
b = inverse(a),
inference(forward_demodulation,[],[f557,f426]) ).
fof(f426,plain,
b = multiply(b,inverse(a)),
inference(forward_demodulation,[],[f421,f12]) ).
fof(f12,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(superposition,[],[f1,f5]) ).
fof(f5,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f421,plain,
b = add(additive_identity,multiply(b,inverse(a))),
inference(superposition,[],[f107,f414]) ).
fof(f414,plain,
additive_identity = multiply(b,a),
inference(superposition,[],[f8,f408]) ).
fof(f408,plain,
a = inverse(b),
inference(forward_demodulation,[],[f404,f71]) ).
fof(f71,plain,
a = add(a,inverse(b)),
inference(forward_demodulation,[],[f63,f5]) ).
fof(f63,plain,
add(a,additive_identity) = add(a,inverse(b)),
inference(superposition,[],[f50,f8]) ).
fof(f50,plain,
! [X0] : add(a,multiply(b,X0)) = add(a,X0),
inference(forward_demodulation,[],[f34,f24]) ).
fof(f24,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(superposition,[],[f2,f6]) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f34,plain,
! [X0] : multiply(multiplicative_identity,add(a,X0)) = add(a,multiply(b,X0)),
inference(superposition,[],[f3,f9]) ).
fof(f9,axiom,
multiplicative_identity = add(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_a_multiplicative_identity) ).
fof(f3,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f404,plain,
inverse(b) = add(a,inverse(b)),
inference(superposition,[],[f153,f374]) ).
fof(f374,plain,
a = multiply(a,inverse(b)),
inference(forward_demodulation,[],[f357,f12]) ).
fof(f357,plain,
a = add(additive_identity,multiply(a,inverse(b))),
inference(superposition,[],[f107,f10]) ).
fof(f10,axiom,
additive_identity = multiply(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_an_additive_identity) ).
fof(f153,plain,
! [X0] : add(multiply(a,X0),X0) = X0,
inference(superposition,[],[f105,f2]) ).
fof(f105,plain,
! [X16] : add(multiply(X16,a),X16) = X16,
inference(forward_demodulation,[],[f93,f6]) ).
fof(f93,plain,
! [X16] : add(multiply(X16,a),multiply(X16,multiplicative_identity)) = multiply(X16,multiplicative_identity),
inference(superposition,[],[f4,f69]) ).
fof(f69,plain,
multiplicative_identity = add(a,multiplicative_identity),
inference(forward_demodulation,[],[f62,f9]) ).
fof(f62,plain,
add(a,b) = add(a,multiplicative_identity),
inference(superposition,[],[f50,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f8,axiom,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f107,plain,
! [X2,X3] : add(multiply(X3,X2),multiply(X3,inverse(X2))) = X3,
inference(forward_demodulation,[],[f86,f6]) ).
fof(f86,plain,
! [X2,X3] : multiply(X3,multiplicative_identity) = add(multiply(X3,X2),multiply(X3,inverse(X2))),
inference(superposition,[],[f4,f7]) ).
fof(f7,axiom,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f557,plain,
inverse(a) = multiply(b,inverse(a)),
inference(superposition,[],[f521,f487]) ).
fof(f487,plain,
b = add(inverse(a),b),
inference(superposition,[],[f477,f1]) ).
fof(f477,plain,
b = add(b,inverse(a)),
inference(superposition,[],[f330,f408]) ).
fof(f330,plain,
! [X8] : add(X8,inverse(inverse(X8))) = X8,
inference(forward_demodulation,[],[f314,f5]) ).
fof(f314,plain,
! [X8] : add(X8,inverse(inverse(X8))) = add(X8,additive_identity),
inference(superposition,[],[f57,f8]) ).
fof(f57,plain,
! [X3,X4] : add(X3,multiply(inverse(X3),X4)) = add(X3,X4),
inference(forward_demodulation,[],[f36,f24]) ).
fof(f36,plain,
! [X3,X4] : add(X3,multiply(inverse(X3),X4)) = multiply(multiplicative_identity,add(X3,X4)),
inference(superposition,[],[f3,f7]) ).
fof(f521,plain,
! [X2,X1] : multiply(add(X1,X2),X1) = X1,
inference(forward_demodulation,[],[f520,f5]) ).
fof(f520,plain,
! [X2,X1] : add(X1,additive_identity) = multiply(add(X1,X2),X1),
inference(forward_demodulation,[],[f41,f295]) ).
fof(f295,plain,
! [X1] : additive_identity = multiply(X1,additive_identity),
inference(superposition,[],[f289,f2]) ).
fof(f289,plain,
! [X6] : additive_identity = multiply(additive_identity,X6),
inference(superposition,[],[f258,f5]) ).
fof(f258,plain,
! [X2,X3] : add(multiply(X3,X2),X3) = X3,
inference(forward_demodulation,[],[f254,f6]) ).
fof(f254,plain,
! [X2,X3] : multiply(X3,multiplicative_identity) = add(multiply(X3,X2),multiply(X3,multiplicative_identity)),
inference(superposition,[],[f4,f244]) ).
fof(f244,plain,
! [X5] : multiplicative_identity = add(X5,multiplicative_identity),
inference(forward_demodulation,[],[f230,f7]) ).
fof(f230,plain,
! [X5] : add(X5,inverse(X5)) = add(X5,multiplicative_identity),
inference(superposition,[],[f51,f24]) ).
fof(f51,plain,
! [X3,X4] : add(X3,multiply(X4,inverse(X3))) = add(X3,X4),
inference(forward_demodulation,[],[f42,f6]) ).
fof(f42,plain,
! [X3,X4] : multiply(add(X3,X4),multiplicative_identity) = add(X3,multiply(X4,inverse(X3))),
inference(superposition,[],[f3,f7]) ).
fof(f41,plain,
! [X2,X1] : add(X1,multiply(X2,additive_identity)) = multiply(add(X1,X2),X1),
inference(superposition,[],[f3,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO013-4 : TPTP v8.1.0. Released v1.1.0.
% 0.14/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 16:09:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (3264)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.55 % (3265)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.57 % (3273)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.57 % (3281)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.21/0.57 % (3272)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.21/0.58 % (3280)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 1.67/0.59 % (3257)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.67/0.60 % (3260)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.67/0.60 % (3260)Instruction limit reached!
% 1.67/0.60 % (3260)------------------------------
% 1.67/0.60 % (3260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.60 % (3260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.60 % (3260)Termination reason: Unknown
% 1.67/0.60 % (3260)Termination phase: Saturation
% 1.67/0.60
% 1.67/0.60 % (3260)Memory used [KB]: 5500
% 1.67/0.60 % (3260)Time elapsed: 0.180 s
% 1.67/0.60 % (3260)Instructions burned: 6 (million)
% 1.67/0.60 % (3260)------------------------------
% 1.67/0.60 % (3260)------------------------------
% 1.67/0.60 % (3261)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.98/0.61 % (3262)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.98/0.61 % (3259)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.98/0.61 % (3279)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 1.98/0.61 % (3276)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 1.98/0.62 % (3286)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.98/0.62 % (3277)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.98/0.62 % (3275)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.98/0.62 % (3284)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 1.98/0.62 % (3278)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 1.98/0.62 % (3267)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.98/0.62 % (3268)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.98/0.62 % (3258)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 1.98/0.63 % (3265)Instruction limit reached!
% 1.98/0.63 % (3265)------------------------------
% 1.98/0.63 % (3265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.63 % (3265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.63 % (3265)Termination reason: Unknown
% 1.98/0.63 % (3265)Termination phase: Saturation
% 1.98/0.63
% 1.98/0.63 % (3271)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 1.98/0.63 % (3265)Memory used [KB]: 10874
% 1.98/0.63 % (3265)Time elapsed: 0.202 s
% 1.98/0.63 % (3265)Instructions burned: 38 (million)
% 1.98/0.63 % (3265)------------------------------
% 1.98/0.63 % (3265)------------------------------
% 1.98/0.63 % (3282)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.98/0.63 % (3285)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 1.98/0.63 % (3270)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 1.98/0.63 % (3263)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.98/0.63 % (3269)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 1.98/0.63 % (3272)First to succeed.
% 1.98/0.63 % (3274)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 1.98/0.63 % (3272)Refutation found. Thanks to Tanya!
% 1.98/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.98/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.98/0.64 % (3272)------------------------------
% 1.98/0.64 % (3272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.64 % (3272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.64 % (3272)Termination reason: Refutation
% 1.98/0.64
% 1.98/0.64 % (3272)Memory used [KB]: 5756
% 1.98/0.64 % (3272)Time elapsed: 0.205 s
% 1.98/0.64 % (3272)Instructions burned: 23 (million)
% 1.98/0.64 % (3272)------------------------------
% 1.98/0.64 % (3272)------------------------------
% 1.98/0.64 % (3256)Success in time 0.275 s
%------------------------------------------------------------------------------