TSTP Solution File: GRP659-10 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRP659-10 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 : Mon Jun 24 07:19:36 EDT 2024
% Result : Unsatisfiable 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 89 ( 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3252,plain,
$false,
inference(trivial_inequality_removal,[],[f3251]) ).
fof(f3251,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(forward_demodulation,[],[f3172,f2686]) ).
fof(f2686,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = X1,
inference(forward_demodulation,[],[f2655,f8]) ).
fof(f8,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2655,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = rd(ld(X0,X0),ld(X1,ld(X0,X0))),
inference(superposition,[],[f1852,f1126]) ).
fof(f1126,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f1098,f185]) ).
fof(f185,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(superposition,[],[f4,f162]) ).
fof(f162,plain,
! [X1] : mult(ld(X1,X1),X1) = X1,
inference(forward_demodulation,[],[f133,f2]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f133,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(ld(X1,X1),X1),
inference(superposition,[],[f2,f101]) ).
fof(f101,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(ld(X1,X1),X1)),
inference(superposition,[],[f21,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f21,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X1),X2),X1) = mult(X0,mult(ld(X1,X2),X1)),
inference(superposition,[],[f13,f3]) ).
fof(f13,plain,
! [X2,X0,X1] : mult(mult(X2,X0),mult(ld(X0,X1),X0)) = mult(mult(X2,X1),X0),
inference(superposition,[],[f5,f1]) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X0,mult(X1,X2)),X1) = mult(mult(X0,X1),mult(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1098,plain,
! [X0] : rd(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(superposition,[],[f4,f989]) ).
fof(f989,plain,
! [X0] : mult(ld(ld(X0,X0),ld(X0,X0)),X0) = X0,
inference(superposition,[],[f965,f162]) ).
fof(f965,plain,
! [X0,X1] : mult(ld(X1,ld(X0,X0)),mult(X1,X0)) = X0,
inference(forward_demodulation,[],[f964,f4]) ).
fof(f964,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(ld(X1,ld(X0,X0)),mult(X1,X0)),
inference(forward_demodulation,[],[f963,f4]) ).
fof(f963,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(rd(mult(ld(X1,ld(X0,X0)),X1),X1),mult(X1,X0)),
inference(forward_demodulation,[],[f913,f249]) ).
fof(f249,plain,
! [X2,X0,X1] : mult(ld(X2,ld(X0,X1)),X2) = ld(mult(X0,X2),mult(X1,X2)),
inference(superposition,[],[f29,f1]) ).
fof(f29,plain,
! [X2,X0,X1] : mult(ld(X1,X2),X1) = ld(mult(X0,X1),mult(mult(X0,X2),X1)),
inference(superposition,[],[f2,f13]) ).
fof(f913,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(rd(ld(mult(X0,X1),mult(X0,X1)),X1),mult(X1,X0)),
inference(superposition,[],[f438,f185]) ).
fof(f438,plain,
! [X2,X0,X1] : rd(X0,X2) = mult(rd(rd(X0,mult(X1,X2)),X2),mult(X2,X1)),
inference(superposition,[],[f53,f3]) ).
fof(f53,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,X2)) = rd(mult(X0,mult(X2,X1)),X1),
inference(superposition,[],[f18,f3]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = rd(mult(mult(X0,X1),mult(X2,X1)),X1),
inference(superposition,[],[f4,f5]) ).
fof(f1852,plain,
! [X0,X1] : mult(X0,X1) = rd(X0,ld(X1,ld(X0,X0))),
inference(forward_demodulation,[],[f1826,f4]) ).
fof(f1826,plain,
! [X0,X1] : mult(X0,rd(mult(X1,X0),X0)) = rd(X0,ld(X1,ld(X0,X0))),
inference(superposition,[],[f1431,f1008]) ).
fof(f1008,plain,
! [X0,X1] : ld(X0,ld(X1,X1)) = rd(X1,mult(X0,X1)),
inference(superposition,[],[f4,f965]) ).
fof(f1431,plain,
! [X0,X1] : mult(X0,rd(X1,X0)) = rd(X0,rd(X0,X1)),
inference(superposition,[],[f4,f1078]) ).
fof(f1078,plain,
! [X0,X1] : mult(mult(X0,rd(X1,X0)),rd(X0,X1)) = X0,
inference(forward_demodulation,[],[f1045,f162]) ).
fof(f1045,plain,
! [X0,X1] : mult(mult(X0,rd(X1,X0)),rd(mult(ld(X0,X0),X0),X1)) = X0,
inference(superposition,[],[f986,f332]) ).
fof(f332,plain,
! [X2,X0,X1] : mult(rd(X0,mult(X1,rd(X2,X1))),X1) = rd(mult(X0,X1),X2),
inference(superposition,[],[f4,f38]) ).
fof(f38,plain,
! [X2,X0,X1] : mult(X2,X1) = mult(mult(rd(X2,mult(X1,rd(X0,X1))),X1),X0),
inference(superposition,[],[f16,f3]) ).
fof(f16,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(mult(rd(X0,mult(X1,X2)),X1),mult(X2,X1)),
inference(superposition,[],[f5,f3]) ).
fof(f986,plain,
! [X0,X1] : mult(X1,mult(rd(ld(X0,X0),X1),X0)) = X0,
inference(superposition,[],[f965,f7]) ).
fof(f7,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f3172,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(mult(ld(X0,X0),x1(ld(X0,X0))),x1_2(ld(X0,X0))),
inference(superposition,[],[f6,f2813]) ).
fof(f2813,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = X1,
inference(forward_demodulation,[],[f2797,f8]) ).
fof(f2797,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = rd(X1,ld(X1,X1)),
inference(superposition,[],[f1852,f2703]) ).
fof(f2703,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = X1,
inference(superposition,[],[f2686,f1]) ).
fof(f6,axiom,
! [X3] : tuple(mult(X3,x1(X3)),mult(x1_2(X3),X3)) != tuple(x1(X3),x1_2(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP659-10 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Jun 20 10:20:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42 % (17443)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (17447)lrs+10_1:32_drc=encompass:sil=256000:i=140:irc=lazy_0 on theBenchmark for (2999ds/140Mi)
% 0.21/0.42 % (17443)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (17446)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=107:bs=unit_only:bd=preordered:ins=1:rawr=on:irc=lazy:sfv=off:plsq=on:plsql=on:plsqc=1_0 on theBenchmark for (2999ds/107Mi)
% 0.21/0.42 % (17443)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (17450)dis+10_1:24_drc=encompass:sil=256000:tgt=ground:spb=goal:i=313:bd=preordered:irc=eager_0 on theBenchmark for (2999ds/313Mi)
% 0.21/0.43 % (17443)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (17445)lrs+10_25:89_sil=256000:tgt=ground:lwlo=on:s2a=on:i=224446:s2at=5.0:fsr=off:awrs=converge:awrsf=90_0 on theBenchmark for (2999ds/224446Mi)
% 0.21/0.43 % (17443)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (17449)dis+10_1:128_drc=encompass:sil=256000:sp=occurrence:i=1122:kws=precedence:fsr=off_0 on theBenchmark for (2999ds/1122Mi)
% 0.21/0.44 % (17443)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (17444)ott+10_4:13_drc=encompass:sil=256000:bsd=on:sp=reverse_frequency:urr=on:i=125345:rawr=on_0 on theBenchmark for (2999ds/125345Mi)
% 0.21/0.45 % (17443)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (17448)lrs+10_85441:1048576_drc=encompass:sil=64000:i=401:awrs=converge:sp=reverse_frequency:dpc=on:bd=preordered:fsr=off:ss=included:st=3.0:fde=none_0 on theBenchmark for (2999ds/401Mi)
% 0.21/0.48 % (17446)Instruction limit reached!
% 0.21/0.48 % (17446)------------------------------
% 0.21/0.48 % (17446)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (17446)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (17446)Termination reason: Time limit
% 0.21/0.48 % (17446)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (17446)Memory used [KB]: 2211
% 0.21/0.48 % (17446)Time elapsed: 0.064 s
% 0.21/0.48 % (17446)Instructions burned: 109 (million)
% 0.21/0.49 % (17449)First to succeed.
% 0.21/0.49 % (17449)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17443"
% 0.21/0.49 % (17447)Instruction limit reached!
% 0.21/0.49 % (17447)------------------------------
% 0.21/0.49 % (17447)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (17447)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (17447)Termination reason: Time limit
% 0.21/0.49 % (17447)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (17447)Memory used [KB]: 2190
% 0.21/0.49 % (17447)Time elapsed: 0.073 s
% 0.21/0.49 % (17447)Instructions burned: 142 (million)
% 0.21/0.49 % (17443)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (17449)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (17449)------------------------------
% 0.21/0.49 % (17449)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (17449)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (17449)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (17449)Memory used [KB]: 2298
% 0.21/0.49 % (17449)Time elapsed: 0.068 s
% 0.21/0.49 % (17449)Instructions burned: 141 (million)
% 0.21/0.49 % (17449)------------------------------
% 0.21/0.49 % (17449)------------------------------
% 0.21/0.49 % (17443)Success in time 0.129 s
%------------------------------------------------------------------------------