%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET076-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:39:58 PM UTC 2026
% Result : Unsatisfiable 2.64s 1.35s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 11 unt; 2 def)
% Number of atoms : 59 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 22 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f5,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_implies_subclass1) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f101,negated_conjecture,
member(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_1) ).
fof(f102,negated_conjecture,
member(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_2) ).
fof(f103,negated_conjecture,
~ subclass(unordered_pair(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_3) ).
fof(f104,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f5]) ).
fof(f123,plain,
! [X2,X0,X1] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[],[f1,f3]) ).
fof(f189,plain,
! [X2,X0,X1] :
( not_subclass_element(unordered_pair(X0,X1),X2) = X1
| not_subclass_element(unordered_pair(X0,X1),X2) = X0
| subclass(unordered_pair(X0,X1),X2) ),
inference(resolution,[],[f8,f2]) ).
fof(f469,definition,
( spl0_15
<=> member(not_subclass_element(unordered_pair(x,y),z),z) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f471,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),z),z)
| spl0_15 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f546,plain,
! [X0] :
( ~ subclass(X0,z)
| ~ member(not_subclass_element(unordered_pair(x,y),z),X0) ),
inference(resolution,[],[f123,f103]) ).
fof(f568,plain,
~ member(not_subclass_element(unordered_pair(x,y),z),z),
inference(resolution,[],[f546,f104]) ).
fof(f1042,plain,
( ~ member(y,z)
| x = not_subclass_element(unordered_pair(x,y),z)
| subclass(unordered_pair(x,y),z)
| spl0_15 ),
inference(superposition,[],[f471,f189]) ).
fof(f1053,plain,
( x = not_subclass_element(unordered_pair(x,y),z)
| subclass(unordered_pair(x,y),z)
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f1042,f102]) ).
fof(f1058,definition,
( spl0_42
<=> x = not_subclass_element(unordered_pair(x,y),z) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f1060,plain,
( x = not_subclass_element(unordered_pair(x,y),z)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1070,plain,
( x = not_subclass_element(unordered_pair(x,y),z)
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f1053,f103]) ).
fof(f1083,plain,
( spl0_42
| spl0_15 ),
inference(avatar_split_clause,[],[f1070,f469,f1058]) ).
fof(f1091,plain,
( ~ member(x,z)
| subclass(unordered_pair(x,y),z)
| ~ spl0_42 ),
inference(superposition,[],[f3,f1060]) ).
fof(f1094,plain,
( subclass(unordered_pair(x,y),z)
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1091,f101]) ).
fof(f1097,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f1094,f103]) ).
fof(f1098,plain,
~ spl0_42,
inference(avatar_contradiction_clause,[],[f1097]) ).
fof(f1100,plain,
~ spl0_15,
inference(avatar_split_clause,[],[f568,f469]) ).
cnf(s28,plain,
( spl0_15
| spl0_42 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s30,plain,
~ spl0_42,
inference(sat_conversion,[],[f1098]) ).
cnf(s32,plain,
~ spl0_15,
inference(sat_conversion,[],[f1100]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s28,s30,s32]) ).
fof(f1101,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET076-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n010.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 00:32:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.64/1.35 % (1460760)Input is clausal, will run a generic CNF schedule.
% 2.64/1.35 % (1460770)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2069318086:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.64/1.35 % (1460770)First to succeed.
% 2.64/1.35 % (1460770)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1460760"
% 2.64/1.35 % (1460769)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2687025667:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.64/1.35 % (1460768)lrs+10_1_sil=8000:sp=occurrence:random_seed=79706072:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.64/1.35 % (1460766)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3995630519:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.64/1.35 % (1460765)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2558339211:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.64/1.35 % (1460767)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2818675799:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.64/1.35 % (1460768)Refutation not found, incomplete strategy
% 2.64/1.35 % (1460768)------------------------------
% 2.64/1.35 % (1460768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.35 % (1460768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.35 % (1460768)CaDiCaL version: 2.1.3
% 2.64/1.35 % (1460768)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.35 % (1460768)Time elapsed: 0.002 s
% 2.64/1.35 % (1460768)Peak memory usage: 88 MB
% 2.64/1.35 % (1460768)Instructions burned: 2 (million)
% 2.64/1.35 % (1460771)dis-21_1_sil=8000:lcm=predicate:random_seed=1828874103:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.64/1.35 % (1460769)Instruction limit reached!
% 2.64/1.35 % (1460769)------------------------------
% 2.64/1.35 % (1460769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.35 % (1460769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.35 % (1460769)CaDiCaL version: 2.1.3
% 2.64/1.35 % (1460769)Termination reason: Instruction limit
% 2.64/1.35 % (1460769)Termination phase: Saturation
% 2.64/1.35 % (1460769)Time elapsed: 0.068 s
% 2.64/1.35 % (1460769)Peak memory usage: 89 MB
% 2.64/1.35 % (1460769)Instructions burned: 115 (million)
% 2.64/1.35 % (1460771)Instruction limit reached!
% 2.64/1.35 % (1460771)------------------------------
% 2.64/1.35 % (1460771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.35 % (1460771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.35 % (1460771)CaDiCaL version: 2.1.3
% 2.64/1.35 % (1460771)Termination reason: Instruction limit
% 2.64/1.35 % (1460771)Termination phase: Saturation
% 2.64/1.35 % (1460771)Time elapsed: 0.065 s
% 2.64/1.35 % (1460771)Peak memory usage: 88 MB
% 2.64/1.35 % (1460771)Instructions burned: 118 (million)
% 2.64/1.35 % (1460770)Refutation found. Thanks to Tanya!
% 2.64/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.64/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/1.35 % (1460770)------------------------------
% 2.64/1.35 % (1460770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.35 % (1460770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.35 % (1460770)CaDiCaL version: 2.1.3
% 2.64/1.35 % (1460770)Termination reason: Refutation
% 2.64/1.35 % (1460770)Time elapsed: 0.020 s
% 2.64/1.35 % (1460770)Peak memory usage: 90 MB
% 2.64/1.35 % (1460770)Instructions burned: 45 (million)
% 2.64/1.35 % (1460770)------------------------------
% 2.64/1.35 % (1460770)------------------------------
% 2.64/1.35 % (1460760)Success in time 0.288 s
% 2.64/1.35 % Vampire exiting
%------------------------------------------------------------------------------