%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET076-7 : 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 : n012.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 2.06s 0.88s
% Output : Refutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 2 def)
% Number of atoms : 45 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 17 ~; 17 |; 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 : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
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(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(f131,negated_conjecture,
member(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_1) ).
fof(f132,negated_conjecture,
member(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_2) ).
fof(f133,negated_conjecture,
~ subclass(unordered_pair(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_3) ).
fof(f164,plain,
member(not_subclass_element(unordered_pair(x,y),z),unordered_pair(x,y)),
inference(resolution,[],[f2,f133]) ).
fof(f333,plain,
( x = not_subclass_element(unordered_pair(x,y),z)
| y = not_subclass_element(unordered_pair(x,y),z) ),
inference(resolution,[],[f8,f164]) ).
fof(f357,definition,
( spl0_15
<=> y = not_subclass_element(unordered_pair(x,y),z) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f359,plain,
( y = not_subclass_element(unordered_pair(x,y),z)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f361,definition,
( spl0_16
<=> x = not_subclass_element(unordered_pair(x,y),z) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f363,plain,
( x = not_subclass_element(unordered_pair(x,y),z)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f364,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f333,f361,f357]) ).
fof(f368,plain,
( ~ member(y,z)
| subclass(unordered_pair(x,y),z)
| ~ spl0_15 ),
inference(superposition,[],[f3,f359]) ).
fof(f369,plain,
( subclass(unordered_pair(x,y),z)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f368,f132]) ).
fof(f381,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f369,f133]) ).
fof(f382,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f409,plain,
( ~ member(x,z)
| subclass(unordered_pair(x,y),z)
| ~ spl0_16 ),
inference(superposition,[],[f3,f363]) ).
fof(f410,plain,
( subclass(unordered_pair(x,y),z)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f409,f131]) ).
fof(f418,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f410,f133]) ).
fof(f419,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f418]) ).
cnf(s8,plain,
( spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f364]) ).
cnf(s11,plain,
~ spl0_15,
inference(sat_conversion,[],[f382]) ).
cnf(s15,plain,
~ spl0_16,
inference(sat_conversion,[],[f419]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s8,s15,s11]) ).
fof(f420,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET076-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 28 00:32:34 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 2.06/0.88 % (2906119)Input is clausal, will run a generic CNF schedule.
% 2.06/0.88 % (2906124)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=3132275558:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.06/0.88 % (2906130)dis-21_1_sil=8000:lcm=predicate:random_seed=2211006998: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)
% 2.06/0.88 % (2906128)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2578156068:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.06/0.88 % (2906126)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1141510628:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.06/0.88 % (2906127)lrs+10_1_sil=8000:sp=occurrence:random_seed=2187335113:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.06/0.88 % (2906125)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2917861897:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.06/0.88 % (2906129)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2164660382:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.06/0.88 % (2906129)First to succeed.
% 2.06/0.88 % (2906129)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2906119"
% 2.06/0.88 % (2906127)Instruction limit reached!
% 2.06/0.88 % (2906127)------------------------------
% 2.06/0.88 % (2906127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.06/0.88 % (2906127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.88 % (2906127)CaDiCaL version: 2.1.3
% 2.06/0.88 % (2906127)Termination reason: Instruction limit
% 2.06/0.88 % (2906127)Termination phase: Saturation
% 2.06/0.88 % (2906127)Time elapsed: 0.033 s
% 2.06/0.88 % (2906127)Peak memory usage: 89 MB
% 2.06/0.88 % (2906127)Instructions burned: 109 (million)
% 2.06/0.88 % (2906128)Instruction limit reached!
% 2.06/0.88 % (2906128)------------------------------
% 2.06/0.88 % (2906128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.06/0.88 % (2906128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.88 % (2906128)CaDiCaL version: 2.1.3
% 2.06/0.88 % (2906128)Termination reason: Instruction limit
% 2.06/0.88 % (2906128)Termination phase: Saturation
% 2.06/0.88 % (2906128)Time elapsed: 0.033 s
% 2.06/0.88 % (2906128)Peak memory usage: 88 MB
% 2.06/0.88 % (2906128)Instructions burned: 117 (million)
% 2.06/0.88 % (2906130)Instruction limit reached!
% 2.06/0.88 % (2906130)------------------------------
% 2.06/0.88 % (2906130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.06/0.88 % (2906130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.88 % (2906130)CaDiCaL version: 2.1.3
% 2.06/0.88 % (2906130)Termination reason: Instruction limit
% 2.06/0.88 % (2906130)Termination phase: Saturation
% 2.06/0.88 % (2906130)Time elapsed: 0.040 s
% 2.06/0.88 % (2906130)Peak memory usage: 88 MB
% 2.06/0.88 % (2906130)Instructions burned: 119 (million)
% 2.06/0.88 % (2906138)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1910544828:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.06/0.88 % (2906139)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1869880120:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 2.06/0.88 % (2906138)Refutation not found, incomplete strategy
% 2.06/0.88 % (2906138)------------------------------
% 2.06/0.88 % (2906138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.06/0.88 % (2906138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.88 % (2906138)CaDiCaL version: 2.1.3
% 2.06/0.88 % (2906138)Termination reason: Refutation not found, incomplete strategy
% 2.06/0.88 % (2906138)Time elapsed: 0.001 s
% 2.06/0.88 % (2906138)Peak memory usage: 88 MB
% 2.06/0.88 % (2906138)Instructions burned: 1 (million)
% 2.06/0.88 % (2906140)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3741702969:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 2.06/0.88 % (2906129)Refutation found. Thanks to Tanya!
% 2.06/0.88 % SZS status Unsatisfiable for theBenchmark
% 2.06/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 2.06/0.88 % (2906129)------------------------------
% 2.06/0.88 % (2906129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.06/0.88 % (2906129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.88 % (2906129)CaDiCaL version: 2.1.3
% 2.06/0.88 % (2906129)Termination reason: Refutation
% 2.06/0.88 % (2906129)Time elapsed: 0.006 s
% 2.06/0.88 % (2906129)Peak memory usage: 89 MB
% 2.06/0.88 % (2906129)Instructions burned: 14 (million)
% 2.06/0.88 % (2906129)------------------------------
% 2.06/0.88 % (2906129)------------------------------
% 2.06/0.88 % (2906119)Success in time 0.273 s
% 2.06/0.88 % Vampire exiting
%------------------------------------------------------------------------------