TSTP Solution File: SET018-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET018-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n003.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 18:23:09 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 57 ( 11 unt; 0 def)
% Number of atoms : 120 ( 41 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 115 ( 52 ~; 59 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f162,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f49,f69,f93,f159]) ).
fof(f159,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f158,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(trivial_inequality_removal,[],[f154]) ).
fof(f154,plain,
( singleton_set(m1) != singleton_set(m1)
| ~ spl0_1
| spl0_2 ),
inference(backward_demodulation,[],[f121,f150]) ).
fof(f150,plain,
( m1 = r1
| ~ spl0_1 ),
inference(resolution,[],[f128,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ member(X0,singleton_set(X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_2) ).
fof(f128,plain,
( member(m1,singleton_set(r1))
| ~ spl0_1 ),
inference(backward_demodulation,[],[f118,f119]) ).
fof(f119,plain,
( r1 = m2
| ~ spl0_1 ),
inference(resolution,[],[f117,f2]) ).
fof(f117,plain,
( member(r1,singleton_set(m2))
| ~ spl0_1 ),
inference(superposition,[],[f4,f20]) ).
fof(f20,plain,
( unordered_pair(m1,r1) = singleton_set(m2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl0_1
<=> unordered_pair(m1,r1) = singleton_set(m2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f4,axiom,
! [X0,X1] : member(X1,unordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_2) ).
fof(f118,plain,
( member(m1,singleton_set(m2))
| ~ spl0_1 ),
inference(superposition,[],[f3,f20]) ).
fof(f3,axiom,
! [X0,X1] : member(X0,unordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_1) ).
fof(f121,plain,
( singleton_set(r1) != singleton_set(m1)
| ~ spl0_1
| spl0_2 ),
inference(backward_demodulation,[],[f23,f119]) ).
fof(f23,plain,
( singleton_set(m1) != singleton_set(m2)
| spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl0_2
<=> singleton_set(m1) = singleton_set(m2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f93,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f92,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f91,f70]) ).
fof(f70,plain,
( unordered_pair(m1,r1) != singleton_set(m1)
| spl0_3
| ~ spl0_4 ),
inference(backward_demodulation,[],[f43,f48]) ).
fof(f48,plain,
( unordered_pair(m1,r2) = singleton_set(m1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_4
<=> unordered_pair(m1,r2) = singleton_set(m1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f43,plain,
( unordered_pair(m1,r2) != unordered_pair(m1,r1)
| spl0_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_3
<=> unordered_pair(m1,r2) = unordered_pair(m1,r1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f91,plain,
( unordered_pair(m1,r1) = singleton_set(m1)
| ~ spl0_2
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f90]) ).
fof(f90,plain,
( unordered_pair(m1,r1) = singleton_set(m1)
| unordered_pair(m1,r1) = singleton_set(m1)
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f80,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_3) ).
fof(f80,plain,
( member(unordered_pair(m1,r1),unordered_pair(singleton_set(m1),singleton_set(m1)))
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f4,f74]) ).
fof(f74,plain,
( unordered_pair(singleton_set(m1),unordered_pair(m1,r1)) = unordered_pair(singleton_set(m1),singleton_set(m1))
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f35,f48]) ).
fof(f35,plain,
( unordered_pair(singleton_set(m1),unordered_pair(m1,r1)) = unordered_pair(singleton_set(m1),unordered_pair(m1,r2))
| ~ spl0_2 ),
inference(backward_demodulation,[],[f28,f31]) ).
fof(f31,plain,
( m1 = m2
| ~ spl0_2 ),
inference(resolution,[],[f30,f2]) ).
fof(f30,plain,
( member(m2,singleton_set(m1))
| ~ spl0_2 ),
inference(superposition,[],[f1,f24]) ).
fof(f24,plain,
( singleton_set(m1) = singleton_set(m2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f1,axiom,
! [X0] : member(X0,singleton_set(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_1) ).
fof(f28,plain,
( unordered_pair(singleton_set(m1),unordered_pair(m1,r1)) = unordered_pair(singleton_set(m1),unordered_pair(m2,r2))
| ~ spl0_2 ),
inference(backward_demodulation,[],[f9,f24]) ).
fof(f9,plain,
unordered_pair(singleton_set(m1),unordered_pair(m1,r1)) = unordered_pair(singleton_set(m2),unordered_pair(m2,r2)),
inference(definition_unfolding,[],[f7,f6,f6]) ).
fof(f6,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton_set(X0),unordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f7,axiom,
ordered_pair(m1,r1) = ordered_pair(m2,r2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_ordered_pairs) ).
fof(f69,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f68,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f67,f60]) ).
fof(f60,plain,
( m1 != r1
| ~ spl0_3 ),
inference(backward_demodulation,[],[f8,f56]) ).
fof(f56,plain,
( m1 = r2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f55,f8]) ).
fof(f55,plain,
( m1 = r2
| r1 = r2
| ~ spl0_3 ),
inference(resolution,[],[f53,f5]) ).
fof(f53,plain,
( member(r2,unordered_pair(m1,r1))
| ~ spl0_3 ),
inference(superposition,[],[f4,f44]) ).
fof(f44,plain,
( unordered_pair(m1,r2) = unordered_pair(m1,r1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f8,axiom,
r1 != r2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_second_components_equal) ).
fof(f67,plain,
( m1 = r1
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f66]) ).
fof(f66,plain,
( m1 = r1
| m1 = r1
| ~ spl0_3 ),
inference(resolution,[],[f64,f5]) ).
fof(f64,plain,
( member(r1,unordered_pair(m1,m1))
| ~ spl0_3 ),
inference(superposition,[],[f4,f59]) ).
fof(f59,plain,
( unordered_pair(m1,r1) = unordered_pair(m1,m1)
| ~ spl0_3 ),
inference(backward_demodulation,[],[f44,f56]) ).
fof(f49,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f40,f22,f46,f42]) ).
fof(f40,plain,
( unordered_pair(m1,r2) = singleton_set(m1)
| unordered_pair(m1,r2) = unordered_pair(m1,r1)
| ~ spl0_2 ),
inference(resolution,[],[f36,f5]) ).
fof(f36,plain,
( member(unordered_pair(m1,r2),unordered_pair(singleton_set(m1),unordered_pair(m1,r1)))
| ~ spl0_2 ),
inference(backward_demodulation,[],[f14,f31]) ).
fof(f14,plain,
member(unordered_pair(m2,r2),unordered_pair(singleton_set(m1),unordered_pair(m1,r1))),
inference(superposition,[],[f4,f9]) ).
fof(f25,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f22,f18]) ).
fof(f16,plain,
( singleton_set(m1) = singleton_set(m2)
| unordered_pair(m1,r1) = singleton_set(m2) ),
inference(resolution,[],[f15,f5]) ).
fof(f15,plain,
member(singleton_set(m2),unordered_pair(singleton_set(m1),unordered_pair(m1,r1))),
inference(superposition,[],[f3,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET018-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % 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 : n003.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 : Tue Aug 30 12:59:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (9714)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 (2999ds/355Mi)
% 0.20/0.50 % (9687)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (9705)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)
% 0.20/0.50 % (9694)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (9706)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (9713)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51 % (9706)First to succeed.
% 0.20/0.51 % (9695)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)
% 0.20/0.51 % (9696)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (9686)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)
% 0.20/0.52 % (9706)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (9706)------------------------------
% 0.20/0.52 % (9706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9706)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (9706)Memory used [KB]: 5500
% 0.20/0.52 % (9706)Time elapsed: 0.124 s
% 0.20/0.52 % (9706)Instructions burned: 6 (million)
% 0.20/0.52 % (9706)------------------------------
% 0.20/0.52 % (9706)------------------------------
% 0.20/0.52 % (9681)Success in time 0.171 s
%------------------------------------------------------------------------------