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Vampire---5.0.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET777-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 12:41:54 PM UTC 2026

% Result   : Satisfiable 0.17s 1.90s
% Output   : Saturation 0.17s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(membership_in_subsets,axiom,
    ( ~ subset(X1,X2)
    | ~ member(X0,X1)
    | member(X0,X2) ) ).

cnf(subsets_axiom1,axiom,
    ( member(member_of_1_not_of_2(X0,X1),X0)
    | subset(X0,X1) ) ).

cnf(set_equal_sets_are_subsets2,axiom,
    ( ~ equal_sets(X0,X1)
    | subset(X1,X0) ) ).

cnf(subsets_are_set_equal_sets,axiom,
    ( ~ subset(X1,X0)
    | ~ subset(X0,X1)
    | equal_sets(X1,X0) ) ).

cnf(u8,axiom,
    subset(X0,X0) ).

cnf(u11,axiom,
    equal_sets(X0,X0) ).

cnf(set_equal_sets_are_subsets1,axiom,
    ( ~ equal_sets(X0,X1)
    | subset(X0,X1) ) ).

cnf(subsets_axiom2,axiom,
    ( ~ member(member_of_1_not_of_2(X0,X1),X1)
    | subset(X0,X1) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET777-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n006.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Mon Sep 28 02:47:26 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 0.17/1.90  % (3538008)Input is clausal, will run a generic CNF schedule.
% 0.17/1.90  % (3538018)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=40265238:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.17/1.90  % (3538016)lrs+10_1_sil=8000:sp=occurrence:random_seed=2157095359:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.17/1.90  % (3538013)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=3091514732:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.17/1.90  % (3538015)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2198629232:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.17/1.90  % (3538014)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3131276422:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.17/1.90  % (3538016)Refutation not found, incomplete strategy
% 0.17/1.90  % (3538016)------------------------------
% 0.17/1.90  % (3538016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.90  % (3538016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.90  % (3538016)CaDiCaL version: 2.1.3
% 0.17/1.90  % (3538016)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.90  % (3538016)Time elapsed: 0.0000 s
% 0.17/1.90  % (3538016)Peak memory usage: 86 MB
% 0.17/1.90  % (3538018)Instruction limit reached! 
% 0.17/1.90  % (3538018)------------------------------
% 0.17/1.90  % (3538018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.90  % (3538018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.90  % (3538018)CaDiCaL version: 2.1.3
% 0.17/1.90  % (3538018)Termination reason: Instruction limit
% 0.17/1.90  % (3538018)Termination phase: Saturation
% 0.17/1.90  % (3538018)Time elapsed: 0.043 s
% 0.17/1.90  % (3538018)Peak memory usage: 87 MB
% 0.17/1.90  % (3538018)Instructions burned: 180 (million)
% 0.17/1.90  % (3538019)dis-21_1_sil=8000:lcm=predicate:random_seed=1108754919: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)
% 0.17/1.90  % (3538017)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2274753757:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.17/1.90  % (3538017)Refutation not found, incomplete strategy
% 0.17/1.90  % (3538017)------------------------------
% 0.17/1.90  % (3538017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.90  % (3538019)Refutation not found, incomplete strategy
% 0.17/1.90  % (3538019)------------------------------
% 0.17/1.90  % (3538019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.90  % (3538017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.90  % (3538019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.90  % (3538017)CaDiCaL version: 2.1.3
% 0.17/1.90  % (3538019)CaDiCaL version: 2.1.3
% 0.17/1.90  % (3538019)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.90  % (3538019)Time elapsed: 0.001 s
% 0.17/1.90  % (3538017)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.90  % (3538017)Time elapsed: 0.001 s
% 0.17/1.90  % (3538017)Peak memory usage: 86 MB
% 0.17/1.90  % (3538019)Peak memory usage: 86 MB
% 0.17/1.90  % (3538025)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=2437629981:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.17/1.90  % (3538025)Refutation not found, incomplete strategy
% 0.17/1.90  % (3538025)------------------------------
% 0.17/1.90  % (3538025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.90  % (3538025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.90  % (3538025)CaDiCaL version: 2.1.3
% 0.17/1.90  % (3538025)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.90  % (3538025)Time elapsed: 0.0000 s
% 0.17/1.90  % (3538025)Peak memory usage: 86 MB
% 0.17/1.90  % (3538016)------------------------------
% 0.17/1.90  % (3538016)------------------------------
% 0.17/1.90  % (3538017)------------------------------
% 0.17/1.90  % (3538017)------------------------------
% 0.17/1.90  % (3538019)------------------------------
% 0.17/1.90  % (3538019)------------------------------
% 0.17/1.90  % (3538025)------------------------------
% 0.17/1.90  % (3538025)------------------------------
% 0.17/1.90  % (3538032)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4189588613:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 0.17/1.90  % (3538029)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=930857266:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 0.17/1.90  % (3538029)Refutation not found, incomplete strategy
% 0.17/1.90  % (3538029)------------------------------
% 0.17/1.90  % (3538029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.90  % (3538029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.90  % (3538029)CaDiCaL version: 2.1.3
% 0.17/1.90  % (3538029)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.90  % (3538029)Time elapsed: 0.0000 s
% 0.17/1.90  % (3538029)Peak memory usage: 86 MB
% 0.17/1.90  % (3538031)lrs+10_64_to=lpo:sil=8000:random_seed=2727943915:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 0.17/1.90  % (3538030)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1727634796:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 0.17/1.90  % (3538030)Refutation not found, incomplete strategy
% 0.17/1.90  % (3538030)------------------------------
% 0.17/1.90  % (3538030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.90  % (3538030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.90  % (3538030)CaDiCaL version: 2.1.3
% 0.17/1.90  % (3538030)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.90  % (3538030)Time elapsed: 0.0000 s
% 0.17/1.90  % (3538030)Peak memory usage: 86 MB
% 0.17/1.90  % (3538031)First to succeed.
% 0.17/1.90  % (3538031)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3538008"
% 0.17/1.90  % (3538032)Instruction limit reached! 
% 0.17/1.90  % (3538032)------------------------------
% 0.17/1.90  % (3538032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.90  % (3538032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.90  % (3538032)CaDiCaL version: 2.1.3
% 0.17/1.90  % (3538032)Termination reason: Instruction limit
% 0.17/1.90  % (3538032)Termination phase: Saturation
% 0.17/1.90  % (3538032)Time elapsed: 0.042 s
% 0.17/1.90  % (3538032)Peak memory usage: 87 MB
% 0.17/1.90  % (3538032)Instructions burned: 196 (million)
% 0.17/1.90  % (3538037)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3598638327:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 0.17/1.90  % (3538037)Also succeeded, but the first one will report.
% 0.17/1.90  % (3538014)Refutation not found, incomplete strategy
% 0.17/1.90  % (3538014)------------------------------
% 0.17/1.90  % (3538014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.90  % (3538014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.90  % (3538014)CaDiCaL version: 2.1.3
% 0.17/1.90  % (3538014)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.90  % (3538014)Time elapsed: 0.576 s
% 0.17/1.90  % (3538014)Peak memory usage: 125 MB
% 0.17/1.90  % (3538014)Instructions burned: 851 (million)
% 0.17/1.90  % (3538015)Refutation not found, incomplete strategy
% 0.17/1.90  % (3538015)------------------------------
% 0.17/1.90  % (3538015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.90  % (3538015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.90  % (3538015)CaDiCaL version: 2.1.3
% 0.17/1.90  % (3538015)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.90  % (3538015)Time elapsed: 0.600 s
% 0.17/1.90  % (3538015)Peak memory usage: 125 MB
% 0.17/1.90  % (3538015)Instructions burned: 888 (million)
% 0.17/1.90  % (3538013)Also succeeded, but the first one will report.
% 0.17/1.90  % (3538030)------------------------------
% 0.17/1.90  % (3538030)------------------------------
% 0.17/1.90  % (3538029)------------------------------
% 0.17/1.90  % (3538029)------------------------------
% 0.17/1.90  % SZS status Satisfiable for theBenchmark
% 0.17/1.90  % SZS output start Saturation.
% See solution above
% 0.17/1.90  % SZS output start Definitions and Model Updates.
% 0.17/1.90  % SZS output end Definitions and Model Updates.
% 0.17/1.90  % (3538031)------------------------------
% 0.17/1.90  % (3538031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.90  % (3538031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.90  % (3538031)CaDiCaL version: 2.1.3
% 0.17/1.90  % (3538031)Termination reason: Satisfiable
% 0.17/1.90  % (3538031)Time elapsed: 0.001 s
% 0.17/1.90  % (3538031)Peak memory usage: 87 MB
% 0.17/1.90  % (3538031)------------------------------
% 0.17/1.90  % (3538031)------------------------------
% 0.17/1.90  % (3538008)Success in time 0.837 s
% 0.17/1.90  % Vampire exiting
%------------------------------------------------------------------------------