TSTP Solution File: GRP098-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP098-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n016.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 16:20:12 EDT 2022
% Result : Unsatisfiable 1.52s 0.60s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 53 ( 34 unt; 0 def)
% Number of atoms : 78 ( 49 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 21 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f609,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f80,f540,f604,f608]) ).
fof(f608,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f607,plain,
( $false
| spl0_4 ),
inference(subsumption_resolution,[],[f606,f328]) ).
fof(f328,plain,
! [X8,X6,X7] : divide(X7,divide(X6,X8)) = divide(divide(X7,X6),inverse(X8)),
inference(forward_demodulation,[],[f289,f308]) ).
fof(f308,plain,
! [X12,X13] : inverse(divide(X12,X13)) = divide(X13,X12),
inference(forward_demodulation,[],[f291,f43]) ).
fof(f43,plain,
! [X10,X11] : divide(X11,divide(X10,X10)) = X11,
inference(superposition,[],[f1,f37]) ).
fof(f37,plain,
! [X3,X1] : divide(divide(X3,inverse(X1)),X3) = X1,
inference(forward_demodulation,[],[f29,f1]) ).
fof(f29,plain,
! [X2,X3,X0,X1] : divide(divide(X3,divide(divide(divide(X0,inverse(inverse(X1))),X2),divide(X0,X2))),X3) = X1,
inference(superposition,[],[f23,f23]) ).
fof(f23,plain,
! [X2,X3,X0,X1] : divide(divide(divide(divide(divide(X0,inverse(X1)),X2),inverse(X3)),divide(X0,X2)),X1) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f291,plain,
! [X14,X12,X13] : divide(X13,divide(X12,divide(X14,X14))) = inverse(divide(X12,X13)),
inference(superposition,[],[f227,f91]) ).
fof(f91,plain,
! [X14,X15] : divide(X14,X14) = divide(X15,X15),
inference(superposition,[],[f82,f43]) ).
fof(f82,plain,
! [X10,X11] : divide(X11,divide(X11,X10)) = X10,
inference(forward_demodulation,[],[f72,f56]) ).
fof(f56,plain,
! [X10,X9] : divide(divide(X9,X9),inverse(X10)) = X10,
inference(superposition,[],[f37,f43]) ).
fof(f72,plain,
! [X10,X11,X9] : divide(X11,divide(divide(divide(X9,X9),inverse(X11)),X10)) = X10,
inference(superposition,[],[f22,f56]) ).
fof(f22,plain,
! [X2,X0,X1] : divide(X1,divide(divide(X0,inverse(X1)),divide(X0,inverse(X2)))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f227,plain,
! [X7,X4,X5] : divide(X7,divide(X4,divide(X5,inverse(divide(X4,X7))))) = X5,
inference(backward_demodulation,[],[f104,f208]) ).
fof(f208,plain,
! [X14,X12,X13] : divide(X13,inverse(divide(X12,X14))) = divide(divide(X12,inverse(X13)),X14),
inference(superposition,[],[f99,f1]) ).
fof(f99,plain,
! [X16,X17] : divide(divide(X16,X17),inverse(X17)) = X16,
inference(backward_demodulation,[],[f74,f88]) ).
fof(f88,plain,
! [X6,X7] : inverse(X7) = divide(divide(X6,X6),X7),
inference(superposition,[],[f82,f56]) ).
fof(f74,plain,
! [X16,X17,X15] : divide(divide(X16,X17),divide(divide(X15,X15),X17)) = X16,
inference(superposition,[],[f1,f56]) ).
fof(f104,plain,
! [X7,X4,X5] : divide(X7,divide(X4,divide(divide(X4,inverse(X5)),X7))) = X5,
inference(backward_demodulation,[],[f25,f90]) ).
fof(f90,plain,
! [X11,X12,X13] : divide(X11,X13) = divide(divide(X12,inverse(X11)),divide(X12,inverse(X13))),
inference(superposition,[],[f82,f22]) ).
fof(f25,plain,
! [X6,X7,X4,X5] : divide(X7,divide(X4,divide(divide(X6,inverse(divide(X4,inverse(X5)))),divide(X6,inverse(X7))))) = X5,
inference(superposition,[],[f1,f22]) ).
fof(f289,plain,
! [X8,X6,X7] : divide(inverse(divide(X6,X7)),inverse(X8)) = divide(X7,divide(X6,X8)),
inference(superposition,[],[f227,f37]) ).
fof(f606,plain,
( divide(a3,divide(inverse(b3),c3)) != divide(divide(a3,inverse(b3)),inverse(c3))
| spl0_4 ),
inference(forward_demodulation,[],[f605,f373]) ).
fof(f373,plain,
! [X10,X11] : divide(inverse(X10),X11) = divide(inverse(X11),X10),
inference(superposition,[],[f81,f200]) ).
fof(f200,plain,
! [X3,X4] : inverse(X3) = divide(divide(X4,X3),X4),
inference(superposition,[],[f37,f155]) ).
fof(f155,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(superposition,[],[f81,f56]) ).
fof(f81,plain,
! [X24,X25] : divide(divide(X25,inverse(X24)),X24) = X25,
inference(forward_demodulation,[],[f76,f56]) ).
fof(f76,plain,
! [X24,X25,X23] : divide(divide(divide(divide(X23,X23),inverse(X25)),inverse(X24)),X24) = X25,
inference(superposition,[],[f1,f56]) ).
fof(f605,plain,
( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3))
| spl0_4 ),
inference(forward_demodulation,[],[f20,f308]) ).
fof(f20,plain,
( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3))))
| spl0_4 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl0_4
<=> divide(divide(a3,inverse(b3)),inverse(c3)) = divide(a3,inverse(divide(b3,inverse(c3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f604,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f603,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f16,f91]) ).
fof(f16,plain,
( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1))
| spl0_3 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl0_3
<=> divide(inverse(a1),inverse(a1)) = divide(inverse(b1),inverse(b1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f540,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f539]) ).
fof(f539,plain,
( $false
| spl0_2 ),
inference(trivial_inequality_removal,[],[f500]) ).
fof(f500,plain,
( divide(a4,inverse(b4)) != divide(a4,inverse(b4))
| spl0_2 ),
inference(superposition,[],[f12,f203]) ).
fof(f203,plain,
! [X0,X1] : divide(X0,inverse(X1)) = divide(X1,inverse(X0)),
inference(superposition,[],[f99,f37]) ).
fof(f12,plain,
( divide(b4,inverse(a4)) != divide(a4,inverse(b4))
| spl0_2 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f10,plain,
( spl0_2
<=> divide(b4,inverse(a4)) = divide(a4,inverse(b4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f80,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f79,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f68]) ).
fof(f68,plain,
( a2 != a2
| spl0_1 ),
inference(superposition,[],[f8,f56]) ).
fof(f8,plain,
( a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2))
| spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f6,plain,
( spl0_1
<=> a2 = divide(divide(inverse(b2),inverse(b2)),inverse(a2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f21,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f4,f18,f14,f10,f6]) ).
fof(f4,plain,
( divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3))))
| divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1))
| divide(b4,inverse(a4)) != divide(a4,inverse(b4))
| a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)) ),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP098-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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
% 0.13/0.34 % Computer : n016.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 22:34:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (21335)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.50 % (21329)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.51 % (21327)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 (3000ds/48Mi)
% 0.19/0.51 % (21343)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.52 % (21325)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 % (21344)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 (3000ds/498Mi)
% 0.19/0.53 % (21351)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.19/0.53 % (21336)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 (3000ds/68Mi)
% 0.19/0.53 % (21324)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 (3000ds/37Mi)
% 1.41/0.53 % (21350)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.41/0.53 % (21340)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.41/0.53 % (21347)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.41/0.53 % (21326)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.41/0.53 % (21330)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.41/0.53 % (21330)Instruction limit reached!
% 1.41/0.53 % (21330)------------------------------
% 1.41/0.53 % (21330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.53 % (21330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.53 % (21330)Termination reason: Unknown
% 1.41/0.53 % (21330)Termination phase: Saturation
% 1.41/0.53
% 1.41/0.53 % (21330)Memory used [KB]: 5373
% 1.41/0.53 % (21330)Time elapsed: 0.124 s
% 1.41/0.53 % (21330)Instructions burned: 3 (million)
% 1.41/0.53 % (21330)------------------------------
% 1.41/0.53 % (21330)------------------------------
% 1.41/0.54 % (21349)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 1.41/0.54 % (21329)Instruction limit reached!
% 1.41/0.54 % (21329)------------------------------
% 1.41/0.54 % (21329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (21329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (21329)Termination reason: Unknown
% 1.41/0.54 % (21329)Termination phase: Saturation
% 1.41/0.54
% 1.41/0.54 % (21329)Memory used [KB]: 5500
% 1.41/0.54 % (21329)Time elapsed: 0.125 s
% 1.41/0.54 % (21329)Instructions burned: 7 (million)
% 1.41/0.54 % (21329)------------------------------
% 1.41/0.54 % (21329)------------------------------
% 1.41/0.54 % (21339)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.41/0.54 TRYING [1]
% 1.41/0.54 % (21323)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.41/0.54 TRYING [2]
% 1.41/0.54 % (21345)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 (3000ds/467Mi)
% 1.41/0.54 % (21328)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.41/0.54 % (21342)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 (3000ds/176Mi)
% 1.41/0.54 TRYING [1]
% 1.41/0.54 % (21333)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.41/0.54 % (21341)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 (3000ds/100Mi)
% 1.41/0.54 % (21331)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 (3000ds/51Mi)
% 1.52/0.55 % (21322)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 (3000ds/191324Mi)
% 1.52/0.55 % (21348)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 (3000ds/68Mi)
% 1.52/0.55 TRYING [1]
% 1.52/0.55 % (21338)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 (3000ds/99Mi)
% 1.52/0.55 % (21334)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 1.52/0.55 % (21332)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.52/0.55 % (21337)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 (3000ds/75Mi)
% 1.52/0.55 TRYING [2]
% 1.52/0.55 TRYING [3]
% 1.52/0.55 % (21346)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.52/0.55 TRYING [2]
% 1.52/0.56 TRYING [3]
% 1.52/0.56 TRYING [3]
% 1.52/0.56 TRYING [4]
% 1.52/0.56 TRYING [4]
% 1.52/0.57 TRYING [4]
% 1.52/0.59 % (21324)Instruction limit reached!
% 1.52/0.59 % (21324)------------------------------
% 1.52/0.59 % (21324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.60 % (21327)Instruction limit reached!
% 1.52/0.60 % (21327)------------------------------
% 1.52/0.60 % (21327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.60 % (21342)First to succeed.
% 1.52/0.60 % (21342)Refutation found. Thanks to Tanya!
% 1.52/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.52/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.60 % (21342)------------------------------
% 1.52/0.60 % (21342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.60 % (21342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.60 % (21342)Termination reason: Refutation
% 1.52/0.60
% 1.52/0.60 % (21342)Memory used [KB]: 5756
% 1.52/0.60 % (21342)Time elapsed: 0.178 s
% 1.52/0.60 % (21342)Instructions burned: 32 (million)
% 1.52/0.60 % (21342)------------------------------
% 1.52/0.60 % (21342)------------------------------
% 1.52/0.60 % (21321)Success in time 0.247 s
%------------------------------------------------------------------------------