TSTP Solution File: RNG017-6 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : RNG017-6 : 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_uns --cores 0 -t %d %s
% Computer : n001.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 18:14:22 EDT 2022
% Result : Unsatisfiable 1.71s 0.59s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f703,plain,
$false,
inference(subsumption_resolution,[],[f702,f10]) ).
fof(f10,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f702,plain,
add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z))) != add(additive_inverse(multiply(x,z)),additive_inverse(multiply(x,y))),
inference(forward_demodulation,[],[f701,f402]) ).
fof(f402,plain,
! [X16,X15] : additive_inverse(multiply(X15,X16)) = multiply(additive_inverse(X15),X16),
inference(forward_demodulation,[],[f385,f2]) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_identity) ).
fof(f385,plain,
! [X16,X15] : multiply(additive_inverse(X15),X16) = add(additive_inverse(multiply(X15,X16)),additive_identity),
inference(superposition,[],[f63,f199]) ).
fof(f199,plain,
! [X24,X23] : additive_identity = add(multiply(X23,X24),multiply(additive_inverse(X23),X24)),
inference(forward_demodulation,[],[f182,f3]) ).
fof(f3,axiom,
! [X0] : additive_identity = multiply(additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_multiplicative_zero) ).
fof(f182,plain,
! [X24,X23] : add(multiply(X23,X24),multiply(additive_inverse(X23),X24)) = multiply(additive_identity,X24),
inference(superposition,[],[f9,f6]) ).
fof(f6,axiom,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f9,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute2) ).
fof(f63,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(superposition,[],[f52,f7]) ).
fof(f7,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f52,plain,
! [X14,X15] : add(X14,add(additive_inverse(X14),X15)) = X15,
inference(forward_demodulation,[],[f39,f1]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f39,plain,
! [X14,X15] : add(X14,add(additive_inverse(X14),X15)) = add(additive_identity,X15),
inference(superposition,[],[f11,f6]) ).
fof(f11,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f701,plain,
add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z))) != add(additive_inverse(multiply(x,z)),multiply(additive_inverse(x),y)),
inference(forward_demodulation,[],[f686,f10]) ).
fof(f686,plain,
add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z))) != add(multiply(additive_inverse(x),y),additive_inverse(multiply(x,z))),
inference(backward_demodulation,[],[f233,f402]) ).
fof(f233,plain,
add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z))) != add(multiply(additive_inverse(x),y),multiply(additive_inverse(x),z)),
inference(forward_demodulation,[],[f16,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute1) ).
fof(f16,axiom,
multiply(additive_inverse(x),add(y,z)) != add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG017-6 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.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 : Tue Aug 30 12:11:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (19181)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)
% 0.19/0.51 % (19173)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)
% 0.19/0.51 % (19171)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)
% 0.19/0.51 % (19172)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)
% 0.19/0.51 % (19165)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)
% 0.19/0.52 % (19169)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)
% 0.19/0.52 % (19180)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)
% 0.19/0.52 % (19185)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.19/0.53 % (19165)Instruction limit reached!
% 0.19/0.53 % (19165)------------------------------
% 0.19/0.53 % (19165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19165)Termination reason: Unknown
% 0.19/0.53 % (19165)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (19165)Memory used [KB]: 5628
% 0.19/0.53 % (19165)Time elapsed: 0.072 s
% 0.19/0.53 % (19165)Instructions burned: 9 (million)
% 0.19/0.53 % (19165)------------------------------
% 0.19/0.53 % (19165)------------------------------
% 0.19/0.53 % (19163)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)
% 0.19/0.53 % (19160)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)
% 0.19/0.53 % (19161)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)
% 0.19/0.53 % (19162)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)
% 0.19/0.53 % (19170)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)
% 0.19/0.53 % (19164)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)
% 0.19/0.53 % (19159)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.53 % (19162)Instruction limit reached!
% 0.19/0.53 % (19162)------------------------------
% 0.19/0.53 % (19162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19162)Termination reason: Unknown
% 0.19/0.53 % (19162)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (19162)Memory used [KB]: 5500
% 0.19/0.53 % (19162)Time elapsed: 0.129 s
% 0.19/0.53 % (19162)Instructions burned: 6 (million)
% 0.19/0.53 % (19162)------------------------------
% 0.19/0.53 % (19162)------------------------------
% 0.19/0.53 % (19168)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.53 % (19186)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)
% 0.19/0.54 % (19183)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)
% 0.19/0.54 % (19187)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)
% 0.19/0.54 % (19182)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)
% 0.19/0.54 % (19184)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)
% 0.19/0.54 % (19167)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)
% 0.19/0.54 % (19188)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)
% 0.19/0.55 % (19178)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)
% 0.19/0.55 % (19175)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)
% 0.19/0.55 % (19176)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)
% 0.19/0.55 % (19177)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)
% 0.19/0.55 % (19179)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.57/0.55 % (19160)Instruction limit reached!
% 1.57/0.55 % (19160)------------------------------
% 1.57/0.55 % (19160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55 % (19160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.55 % (19160)Termination reason: Unknown
% 1.57/0.55 % (19160)Termination phase: Saturation
% 1.57/0.55
% 1.57/0.55 % (19160)Memory used [KB]: 5628
% 1.57/0.55 % (19160)Time elapsed: 0.130 s
% 1.57/0.55 % (19160)Instructions burned: 11 (million)
% 1.57/0.55 % (19160)------------------------------
% 1.57/0.55 % (19160)------------------------------
% 1.57/0.56 % (19174)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)
% 1.57/0.56 % (19164)Instruction limit reached!
% 1.57/0.56 % (19164)------------------------------
% 1.57/0.56 % (19164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (19164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (19164)Termination reason: Unknown
% 1.57/0.56 % (19164)Termination phase: Saturation
% 1.57/0.56
% 1.57/0.56 % (19164)Memory used [KB]: 5756
% 1.57/0.56 % (19164)Time elapsed: 0.162 s
% 1.57/0.56 % (19164)Instructions burned: 20 (million)
% 1.57/0.56 % (19164)------------------------------
% 1.57/0.56 % (19164)------------------------------
% 1.71/0.57 % (19166)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.71/0.57 % (19169)Instruction limit reached!
% 1.71/0.57 % (19169)------------------------------
% 1.71/0.57 % (19169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (19167)Instruction limit reached!
% 1.71/0.59 % (19167)------------------------------
% 1.71/0.59 % (19167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (19170)Instruction limit reached!
% 1.71/0.59 % (19170)------------------------------
% 1.71/0.59 % (19170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (19170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (19170)Termination reason: Unknown
% 1.71/0.59 % (19170)Termination phase: Saturation
% 1.71/0.59
% 1.71/0.59 % (19170)Memory used [KB]: 6012
% 1.71/0.59 % (19170)Time elapsed: 0.171 s
% 1.71/0.59 % (19170)Instructions burned: 48 (million)
% 1.71/0.59 % (19170)------------------------------
% 1.71/0.59 % (19170)------------------------------
% 1.71/0.59 % (19183)First to succeed.
% 1.71/0.59 % (19183)Refutation found. Thanks to Tanya!
% 1.71/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.71/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.59 % (19183)------------------------------
% 1.71/0.59 % (19183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (19183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (19183)Termination reason: Refutation
% 1.71/0.59
% 1.71/0.59 % (19183)Memory used [KB]: 1407
% 1.71/0.59 % (19183)Time elapsed: 0.174 s
% 1.71/0.59 % (19183)Instructions burned: 29 (million)
% 1.71/0.59 % (19183)------------------------------
% 1.71/0.59 % (19183)------------------------------
% 1.71/0.59 % (19158)Success in time 0.243 s
%------------------------------------------------------------------------------