TSTP Solution File: GRP509-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP509-1 : 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_uns --cores 0 -t %d %s
% Computer : n007.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 16:16:24 EDT 2022
% Result : Unsatisfiable 1.65s 0.58s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f486,plain,
$false,
inference(subsumption_resolution,[],[f485,f342]) ).
fof(f342,plain,
! [X24,X25] : multiply(X24,inverse(X24)) = multiply(X25,inverse(X25)),
inference(superposition,[],[f308,f211]) ).
fof(f211,plain,
! [X16,X17] : multiply(multiply(X16,inverse(X16)),X17) = X17,
inference(superposition,[],[f126,f84]) ).
fof(f84,plain,
! [X2,X3] : multiply(multiply(X3,X2),inverse(X3)) = X2,
inference(superposition,[],[f76,f25]) ).
fof(f25,plain,
! [X6,X4,X5] : inverse(multiply(X5,multiply(X4,inverse(multiply(multiply(X5,X4),X6))))) = X6,
inference(superposition,[],[f3,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(multiply(X0,X1),inverse(multiply(X0,X2))))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,X2)) = multiply(multiply(X1,X3),inverse(multiply(multiply(multiply(X0,X1),X2),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f76,plain,
! [X16,X14] : multiply(multiply(X16,inverse(X14)),inverse(X16)) = inverse(X14),
inference(forward_demodulation,[],[f67,f1]) ).
fof(f67,plain,
! [X16,X14,X15,X13] : multiply(multiply(X16,inverse(X14)),inverse(X16)) = inverse(multiply(multiply(multiply(X13,X14),X15),inverse(multiply(X13,X15)))),
inference(superposition,[],[f3,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(multiply(multiply(X0,X1),X2),X3),inverse(multiply(X0,X2))),inverse(X1)) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f126,plain,
! [X12,X13] : multiply(X13,inverse(multiply(X12,inverse(X12)))) = X13,
inference(superposition,[],[f1,f84]) ).
fof(f308,plain,
! [X29,X30] : multiply(multiply(X29,X30),inverse(X30)) = X29,
inference(forward_demodulation,[],[f283,f211]) ).
fof(f283,plain,
! [X28,X29,X30] : multiply(multiply(X29,X30),inverse(multiply(multiply(X28,inverse(X28)),X30))) = X29,
inference(superposition,[],[f1,f211]) ).
fof(f485,plain,
multiply(b1,inverse(b1)) != multiply(a1,inverse(a1)),
inference(forward_demodulation,[],[f408,f379]) ).
fof(f379,plain,
! [X18,X19] : multiply(X18,X19) = multiply(X19,X18),
inference(forward_demodulation,[],[f339,f171]) ).
fof(f171,plain,
! [X40,X39] : multiply(X39,X40) = multiply(X40,inverse(inverse(X39))),
inference(superposition,[],[f4,f121]) ).
fof(f121,plain,
! [X16,X17] : multiply(X17,inverse(multiply(X16,X17))) = inverse(X16),
inference(superposition,[],[f84,f84]) ).
fof(f339,plain,
! [X18,X19] : multiply(X18,inverse(inverse(X19))) = multiply(X18,X19),
inference(superposition,[],[f308,f308]) ).
fof(f408,plain,
multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference(superposition,[],[f2,f379]) ).
fof(f2,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP509-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % 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 : n007.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 22:15:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (27187)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.19/0.50 % (27191)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 (3000ds/48Mi)
% 0.19/0.50 % (27180)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.19/0.51 % (27189)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 (3000ds/46Mi)
% 0.19/0.51 % (27208)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 (3000ds/381Mi)
% 0.19/0.51 % (27192)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 (3000ds/292Mi)
% 0.19/0.52 % (27184)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 (3000ds/48Mi)
% 0.19/0.52 % (27181)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 (3000ds/10Mi)
% 0.19/0.52 % (27193)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 (3000ds/353Mi)
% 0.19/0.52 % (27182)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 (3000ds/37Mi)
% 0.19/0.52 % (27183)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 (3000ds/6Mi)
% 0.19/0.52 % (27181)Instruction limit reached!
% 0.19/0.52 % (27181)------------------------------
% 0.19/0.52 % (27181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27181)Termination reason: Unknown
% 0.19/0.52 % (27181)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (27181)Memory used [KB]: 5756
% 0.19/0.52 % (27181)Time elapsed: 0.122 s
% 0.19/0.52 % (27181)Instructions burned: 11 (million)
% 0.19/0.52 % (27181)------------------------------
% 0.19/0.52 % (27181)------------------------------
% 0.19/0.52 % (27200)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.19/0.52 % (27183)Instruction limit reached!
% 0.19/0.52 % (27183)------------------------------
% 0.19/0.52 % (27183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27183)Termination reason: Unknown
% 0.19/0.53 % (27183)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (27183)Memory used [KB]: 5500
% 0.19/0.53 % (27183)Time elapsed: 0.121 s
% 0.19/0.53 % (27183)Instructions burned: 6 (million)
% 0.19/0.53 % (27183)------------------------------
% 0.19/0.53 % (27183)------------------------------
% 0.19/0.53 % (27188)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 (3000ds/37Mi)
% 0.19/0.53 % (27190)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 (3000ds/37Mi)
% 0.19/0.53 % (27195)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 (3000ds/212Mi)
% 0.19/0.53 % (27197)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 (3000ds/257Mi)
% 0.19/0.53 % (27185)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/20Mi)
% 0.19/0.53 % (27207)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 (3000ds/495Mi)
% 0.19/0.53 % (27202)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.19/0.54 % (27209)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 (3000ds/48Mi)
% 0.19/0.54 % (27199)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 (3000ds/103Mi)
% 0.19/0.54 % (27194)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 (3000ds/321Mi)
% 0.19/0.54 % (27187)Instruction limit reached!
% 0.19/0.54 % (27187)------------------------------
% 0.19/0.54 % (27187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (27187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (27187)Termination reason: Unknown
% 0.19/0.54 % (27187)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (27187)Memory used [KB]: 6012
% 0.19/0.54 % (27187)Time elapsed: 0.123 s
% 0.19/0.54 % (27187)Instructions burned: 34 (million)
% 0.19/0.54 % (27187)------------------------------
% 0.19/0.54 % (27187)------------------------------
% 0.19/0.54 % (27205)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 (3000ds/177Mi)
% 0.19/0.54 % (27204)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 (3000ds/248Mi)
% 1.34/0.54 % (27201)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/481Mi)
% 1.34/0.55 % (27203)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 (3000ds/111Mi)
% 1.34/0.55 % (27196)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 (3000ds/48Mi)
% 1.34/0.55 % (27206)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 (3000ds/267Mi)
% 1.34/0.56 % (27185)Instruction limit reached!
% 1.34/0.56 % (27185)------------------------------
% 1.34/0.56 % (27185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.56 % (27185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.56 % (27185)Termination reason: Unknown
% 1.34/0.56 % (27185)Termination phase: Saturation
% 1.34/0.56
% 1.34/0.56 % (27185)Memory used [KB]: 5756
% 1.34/0.56 % (27185)Time elapsed: 0.164 s
% 1.34/0.56 % (27185)Instructions burned: 22 (million)
% 1.34/0.56 % (27185)------------------------------
% 1.34/0.56 % (27185)------------------------------
% 1.34/0.56 % (27198)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 (3000ds/439Mi)
% 1.34/0.56 % (27186)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 (3000ds/7Mi)
% 1.34/0.56 % (27207)First to succeed.
% 1.65/0.57 % (27186)Instruction limit reached!
% 1.65/0.57 % (27186)------------------------------
% 1.65/0.57 % (27186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (27186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58 % (27186)Termination reason: Unknown
% 1.65/0.58 % (27186)Termination phase: Saturation
% 1.65/0.58
% 1.65/0.58 % (27186)Memory used [KB]: 5628
% 1.65/0.58 % (27186)Time elapsed: 0.133 s
% 1.65/0.58 % (27186)Instructions burned: 8 (million)
% 1.65/0.58 % (27186)------------------------------
% 1.65/0.58 % (27186)------------------------------
% 1.65/0.58 % (27207)Refutation found. Thanks to Tanya!
% 1.65/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.65/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.58 % (27207)------------------------------
% 1.65/0.58 % (27207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (27207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58 % (27207)Termination reason: Refutation
% 1.65/0.58
% 1.65/0.58 % (27207)Memory used [KB]: 6012
% 1.65/0.58 % (27207)Time elapsed: 0.173 s
% 1.65/0.58 % (27207)Instructions burned: 26 (million)
% 1.65/0.58 % (27207)------------------------------
% 1.65/0.58 % (27207)------------------------------
% 1.65/0.58 % (27179)Success in time 0.224 s
%------------------------------------------------------------------------------