TSTP Solution File: FLD025-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD025-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n018.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 16:05:32 EDT 2022
% Result : Unsatisfiable 1.79s 0.59s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 94 ( 47 ~; 46 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f367,plain,
$false,
inference(avatar_sat_refutation,[],[f331,f366]) ).
fof(f366,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f364,f38]) ).
fof(f38,axiom,
~ equalish(v,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_not_equal_to_u_11) ).
fof(f364,plain,
( equalish(v,u)
| ~ spl0_5 ),
inference(resolution,[],[f362,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f362,plain,
( equalish(u,v)
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f359,f60]) ).
fof(f60,plain,
equalish(d,d),
inference(resolution,[],[f41,f42]) ).
fof(f42,plain,
equalish(d,c),
inference(resolution,[],[f35,f22]) ).
fof(f35,axiom,
equalish(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_equals_d_8) ).
fof(f41,plain,
! [X0] :
( ~ equalish(X0,c)
| equalish(X0,d) ),
inference(resolution,[],[f35,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f359,plain,
( equalish(u,v)
| ~ equalish(d,d)
| ~ spl0_5 ),
inference(resolution,[],[f353,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(X0,b))
| ~ equalish(X0,d)
| equalish(X1,v) ),
inference(resolution,[],[f90,f23]) ).
fof(f90,plain,
! [X0] :
( equalish(multiply(X0,b),v)
| ~ equalish(X0,d) ),
inference(subsumption_resolution,[],[f87,f29]) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f87,plain,
! [X0] :
( ~ equalish(X0,d)
| equalish(multiply(X0,b),v)
| ~ defined(b) ),
inference(resolution,[],[f49,f25]) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X2),multiply(X1,X2))
| ~ equalish(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f49,plain,
! [X0] :
( ~ equalish(X0,multiply(d,b))
| equalish(X0,v) ),
inference(resolution,[],[f37,f23]) ).
fof(f37,axiom,
equalish(multiply(d,b),v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_v_10) ).
fof(f353,plain,
( equalish(u,multiply(d,b))
| ~ spl0_5 ),
inference(resolution,[],[f151,f22]) ).
fof(f151,plain,
( equalish(multiply(d,b),u)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl0_5
<=> equalish(multiply(d,b),u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f331,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f330]) ).
fof(f330,plain,
( $false
| spl0_5 ),
inference(subsumption_resolution,[],[f329,f30]) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f329,plain,
( ~ defined(c)
| spl0_5 ),
inference(subsumption_resolution,[],[f328,f35]) ).
fof(f328,plain,
( ~ equalish(c,d)
| ~ defined(c)
| spl0_5 ),
inference(subsumption_resolution,[],[f325,f40]) ).
fof(f40,plain,
equalish(b,a),
inference(resolution,[],[f34,f22]) ).
fof(f34,axiom,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_7) ).
fof(f325,plain,
( ~ equalish(b,a)
| ~ defined(c)
| ~ equalish(c,d)
| spl0_5 ),
inference(resolution,[],[f319,f261]) ).
fof(f261,plain,
( ! [X10] :
( ~ equalish(multiply(X10,c),v)
| ~ equalish(X10,a) )
| spl0_5 ),
inference(subsumption_resolution,[],[f257,f152]) ).
fof(f152,plain,
( ~ equalish(multiply(d,b),u)
| spl0_5 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f257,plain,
! [X10] :
( ~ equalish(X10,a)
| ~ equalish(multiply(X10,c),v)
| equalish(multiply(d,b),u) ),
inference(resolution,[],[f107,f106]) ).
fof(f106,plain,
! [X3] :
( equalish(multiply(d,b),X3)
| ~ equalish(X3,v) ),
inference(resolution,[],[f53,f22]) ).
fof(f53,plain,
! [X0] :
( equalish(X0,multiply(d,b))
| ~ equalish(X0,v) ),
inference(resolution,[],[f50,f23]) ).
fof(f50,plain,
equalish(v,multiply(d,b)),
inference(resolution,[],[f37,f22]) ).
fof(f107,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(X0,c))
| ~ equalish(X0,a)
| equalish(X1,u) ),
inference(resolution,[],[f81,f23]) ).
fof(f81,plain,
! [X0] :
( equalish(multiply(X0,c),u)
| ~ equalish(X0,a) ),
inference(subsumption_resolution,[],[f76,f30]) ).
fof(f76,plain,
! [X0] :
( ~ defined(c)
| ~ equalish(X0,a)
| equalish(multiply(X0,c),u) ),
inference(resolution,[],[f47,f25]) ).
fof(f47,plain,
! [X0] :
( ~ equalish(X0,multiply(a,c))
| equalish(X0,u) ),
inference(resolution,[],[f36,f23]) ).
fof(f36,axiom,
equalish(multiply(a,c),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_u_9) ).
fof(f319,plain,
! [X8] :
( equalish(multiply(b,X8),v)
| ~ equalish(X8,d)
| ~ defined(X8) ),
inference(subsumption_resolution,[],[f311,f29]) ).
fof(f311,plain,
! [X8] :
( equalish(multiply(b,X8),v)
| ~ defined(b)
| ~ defined(X8)
| ~ equalish(X8,d) ),
inference(resolution,[],[f109,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X1)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : FLD025-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n018.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 20:39:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.55 % (6182)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.56 % (6182)Instruction limit reached!
% 0.21/0.56 % (6182)------------------------------
% 0.21/0.56 % (6182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (6197)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.56 % (6190)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56 % (6190)Instruction limit reached!
% 0.21/0.56 % (6190)------------------------------
% 0.21/0.56 % (6190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (6181)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57 % (6182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (6182)Termination reason: Unknown
% 0.21/0.57 % (6182)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (6182)Memory used [KB]: 5884
% 0.21/0.57 % (6182)Time elapsed: 0.123 s
% 0.21/0.57 % (6182)Instructions burned: 3 (million)
% 0.21/0.57 % (6182)------------------------------
% 0.21/0.57 % (6182)------------------------------
% 1.64/0.57 % (6190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (6190)Termination reason: Unknown
% 1.64/0.57 % (6190)Termination phase: Saturation
% 1.64/0.57
% 1.64/0.57 % (6190)Memory used [KB]: 1279
% 1.64/0.57 % (6190)Time elapsed: 0.002 s
% 1.64/0.57 % (6190)Instructions burned: 2 (million)
% 1.64/0.57 % (6190)------------------------------
% 1.64/0.57 % (6190)------------------------------
% 1.64/0.57 % (6189)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.64/0.57 % (6198)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.64/0.57 TRYING [1]
% 1.64/0.57 TRYING [2]
% 1.64/0.57 % (6189)Instruction limit reached!
% 1.64/0.57 % (6189)------------------------------
% 1.64/0.57 % (6189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57 % (6189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (6189)Termination reason: Unknown
% 1.64/0.57 % (6189)Termination phase: Finite model building SAT solving
% 1.64/0.57
% 1.64/0.57 % (6189)Memory used [KB]: 6012
% 1.64/0.57 % (6189)Time elapsed: 0.136 s
% 1.64/0.57 % (6189)Instructions burned: 6 (million)
% 1.64/0.57 % (6189)------------------------------
% 1.64/0.57 % (6189)------------------------------
% 1.64/0.58 % (6199)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.64/0.58 % (6179)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.64/0.58 % (6175)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.79/0.59 % (6176)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.79/0.59 % (6191)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.79/0.59 % (6192)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.79/0.59 % (6193)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.79/0.59 % (6181)First to succeed.
% 1.79/0.59 % (6194)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.79/0.59 % (6181)Refutation found. Thanks to Tanya!
% 1.79/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.79/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.59 % (6181)------------------------------
% 1.79/0.59 % (6181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59 % (6181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59 % (6181)Termination reason: Refutation
% 1.79/0.59
% 1.79/0.59 % (6181)Memory used [KB]: 6012
% 1.79/0.59 % (6181)Time elapsed: 0.136 s
% 1.79/0.59 % (6181)Instructions burned: 9 (million)
% 1.79/0.59 % (6181)------------------------------
% 1.79/0.59 % (6181)------------------------------
% 1.79/0.59 % (6173)Success in time 0.234 s
%------------------------------------------------------------------------------