TSTP Solution File: BOO034-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : BOO034-1 : TPTP v8.1.0. Released v2.2.0.
% 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 : n026.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 15:50:14 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 13 ( 13 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f327,plain,
$false,
inference(trivial_inequality_removal,[],[f326]) ).
fof(f326,plain,
b != b,
inference(superposition,[],[f264,f240]) ).
fof(f240,plain,
! [X2,X3] : multiply(X3,inverse(X2),X2) = X3,
inference(superposition,[],[f5,f229]) ).
fof(f229,plain,
! [X33] : inverse(inverse(X33)) = X33,
inference(superposition,[],[f5,f183]) ).
fof(f183,plain,
! [X2,X3] : multiply(inverse(X3),X2,X3) = X2,
inference(superposition,[],[f170,f2]) ).
fof(f2,axiom,
! [X2,X3] : multiply(X3,X2,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ternary_multiply_1) ).
fof(f170,plain,
! [X2,X0,X1] : multiply(inverse(X1),X0,multiply(X0,X1,X2)) = X0,
inference(superposition,[],[f133,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,multiply(X1,X2,X3)) = multiply(X1,X2,multiply(X0,X1,X3)),
inference(superposition,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X0,X1,multiply(X2,X3,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f133,plain,
! [X44,X42,X43] : multiply(X42,X43,multiply(inverse(X43),X42,X44)) = X42,
inference(superposition,[],[f19,f5]) ).
fof(f19,plain,
! [X10,X11,X9,X12] : multiply(X9,X10,multiply(X11,multiply(X9,X10,X11),X12)) = multiply(X9,X10,X11),
inference(superposition,[],[f1,f3]) ).
fof(f3,axiom,
! [X2,X3] : multiply(X2,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ternary_multiply_2) ).
fof(f5,axiom,
! [X2,X3] : multiply(X2,X3,inverse(X3)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f264,plain,
b != multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(c,d,multiply(e,f,g))),
inference(forward_demodulation,[],[f263,f211]) ).
fof(f211,plain,
! [X34,X35,X33] : multiply(X33,X35,X34) = multiply(X33,X34,X35),
inference(backward_demodulation,[],[f82,f183]) ).
fof(f82,plain,
! [X34,X35,X33] : multiply(X33,X34,multiply(inverse(X34),X35,X34)) = multiply(X33,X35,X34),
inference(superposition,[],[f13,f5]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1,X2),X3,X1) = multiply(X0,X1,multiply(X2,X3,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f263,plain,
b != multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(c,d,multiply(e,g,f))),
inference(forward_demodulation,[],[f262,f245]) ).
fof(f245,plain,
! [X28,X29,X30] : multiply(X29,X30,X28) = multiply(X28,X29,X30),
inference(backward_demodulation,[],[f50,f244]) ).
fof(f244,plain,
! [X14,X13] : multiply(X13,X14,inverse(X13)) = X14,
inference(superposition,[],[f183,f229]) ).
fof(f50,plain,
! [X28,X29,X30] : multiply(X28,X29,multiply(X29,X30,inverse(X29))) = multiply(X29,X30,X28),
inference(superposition,[],[f8,f5]) ).
fof(f262,plain,
b != multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(c,d,multiply(f,e,g))),
inference(forward_demodulation,[],[f261,f211]) ).
fof(f261,plain,
b != multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(c,d,multiply(f,g,e))),
inference(forward_demodulation,[],[f260,f245]) ).
fof(f260,plain,
b != multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(c,d,multiply(g,e,f))),
inference(forward_demodulation,[],[f259,f211]) ).
fof(f259,plain,
b != multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(c,multiply(g,e,f),d)),
inference(forward_demodulation,[],[f246,f245]) ).
fof(f246,plain,
b != multiply(b,inverse(multiply(c,d,multiply(e,f,g))),multiply(d,c,multiply(g,e,f))),
inference(backward_demodulation,[],[f216,f244]) ).
fof(f216,plain,
b != multiply(multiply(a,b,inverse(a)),inverse(multiply(c,d,multiply(e,f,g))),multiply(d,c,multiply(g,e,f))),
inference(forward_demodulation,[],[f215,f211]) ).
fof(f215,plain,
b != multiply(multiply(a,b,inverse(a)),inverse(multiply(c,d,multiply(e,f,g))),multiply(d,c,multiply(g,f,e))),
inference(forward_demodulation,[],[f214,f211]) ).
fof(f214,plain,
b != multiply(multiply(a,b,inverse(a)),inverse(multiply(c,d,multiply(e,f,g))),multiply(d,multiply(g,f,e),c)),
inference(backward_demodulation,[],[f7,f211]) ).
fof(f7,plain,
b != multiply(multiply(a,inverse(a),b),inverse(multiply(c,d,multiply(e,f,g))),multiply(d,multiply(g,f,e),c)),
inference(backward_demodulation,[],[f6,f1]) ).
fof(f6,axiom,
b != multiply(multiply(a,inverse(a),b),inverse(multiply(multiply(c,d,e),f,multiply(c,d,g))),multiply(d,multiply(g,f,e),c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_single_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO034-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 16:23:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 % (2178)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.47 % (2170)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.49 % (2181)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)
% 0.21/0.49 % (2173)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.49 % (2173)Instruction limit reached!
% 0.21/0.49 % (2173)------------------------------
% 0.21/0.49 % (2173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (2186)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)
% 0.21/0.50 % (2165)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)
% 0.21/0.50 % (2173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (2173)Termination reason: Unknown
% 0.21/0.50 % (2173)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (2173)Memory used [KB]: 5500
% 0.21/0.50 % (2173)Time elapsed: 0.084 s
% 0.21/0.50 % (2173)Instructions burned: 8 (million)
% 0.21/0.50 % (2173)------------------------------
% 0.21/0.50 % (2173)------------------------------
% 0.21/0.50 TRYING [1]
% 0.21/0.50 TRYING [2]
% 0.21/0.50 % (2189)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)
% 0.21/0.51 % (2167)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)
% 0.21/0.51 % (2180)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)
% 0.21/0.51 % (2182)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)
% 0.21/0.51 % (2184)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51 % (2191)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.51 % (2188)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)
% 0.21/0.51 % (2172)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)
% 0.21/0.51 % (2179)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 TRYING [1]
% 0.21/0.51 % (2185)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)
% 0.21/0.52 % (2192)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)
% 0.21/0.52 % (2183)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.52 % (2171)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)
% 0.21/0.52 TRYING [2]
% 0.21/0.52 % (2169)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)
% 0.21/0.52 % (2168)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)
% 0.21/0.52 % (2174)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 TRYING [3]
% 0.21/0.52 % (2175)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)
% 0.21/0.52 % (2177)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)
% 0.21/0.52 % (2176)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 TRYING [3]
% 0.21/0.53 % (2194)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 % (2170)Instruction limit reached!
% 0.21/0.53 % (2170)------------------------------
% 0.21/0.53 % (2170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (2186)First to succeed.
% 0.21/0.53 TRYING [2]
% 0.21/0.53 TRYING [3]
% 0.21/0.54 % (2186)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (2186)------------------------------
% 0.21/0.54 % (2186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (2186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (2186)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (2186)Memory used [KB]: 5884
% 0.21/0.54 % (2186)Time elapsed: 0.140 s
% 0.21/0.54 % (2186)Instructions burned: 39 (million)
% 0.21/0.54 % (2186)------------------------------
% 0.21/0.54 % (2186)------------------------------
% 0.21/0.54 % (2164)Success in time 0.177 s
%------------------------------------------------------------------------------