%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET778-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 6.76s 1.93s
% Output : Saturation 6.76s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u20,axiom,
( ~ member(X3,X0)
| member(g(X0,X1,X2),X1)
| member(g(X0,X1,X2),X2)
| member(g(X0,X1,X2),X0)
| member(X3,X2) ) ).
cnf(u13,axiom,
( ~ member(X0,X1)
| member(X0,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ) ).
cnf(union_axiom3,axiom,
( ~ member(g(X0,X1,X2),X2)
| ~ member(g(X0,X1,X2),X1)
| union(X0,X1,X2) ) ).
cnf(set_equal_sets_are_subsets2,axiom,
( ~ equal_sets(X0,X1)
| subset(X1,X0) ) ).
cnf(u15,axiom,
( equal_sets(X0,X1)
| member(member_of_1_not_of_2(X0,X1),X0)
| member(member_of_1_not_of_2(X1,X0),X1) ) ).
cnf(u19,axiom,
( ~ member(X3,X1)
| member(g(X0,X1,X2),X1)
| member(g(X0,X1,X2),X2)
| member(g(X0,X1,X2),X0)
| member(X3,X2) ) ).
cnf(set_equal_sets_are_subsets1,axiom,
( ~ equal_sets(X0,X1)
| subset(X0,X1) ) ).
cnf(u14,axiom,
( ~ subset(X0,X1)
| equal_sets(X1,X0)
| member(member_of_1_not_of_2(X1,X0),X1) ) ).
cnf(member_of_union_is_member_of_one_set,axiom,
( ~ union(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X0)
| member(X3,X1) ) ).
cnf(member_of_set2_is_member_of_union,axiom,
( ~ union(X0,X1,X2)
| ~ member(X3,X1)
| member(X3,X2) ) ).
cnf(subsets_are_set_equal_sets,axiom,
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_sets(X1,X0) ) ).
cnf(member_of_set1_is_member_of_union,axiom,
( ~ union(X0,X1,X2)
| ~ member(X3,X0)
| member(X3,X2) ) ).
cnf(membership_in_subsets,axiom,
( ~ subset(X1,X2)
| ~ member(X0,X1)
| member(X0,X2) ) ).
cnf(union_axiom2,axiom,
( ~ member(g(X0,X1,X2),X2)
| ~ member(g(X0,X1,X2),X0)
| union(X0,X1,X2) ) ).
cnf(union_axiom1,axiom,
( union(X0,X1,X2)
| member(g(X0,X1,X2),X0)
| member(g(X0,X1,X2),X1)
| member(g(X0,X1,X2),X2) ) ).
cnf(subsets_axiom2,axiom,
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ) ).
cnf(subsets_axiom1,axiom,
( subset(X0,X1)
| member(member_of_1_not_of_2(X0,X1),X0) ) ).
cnf(u18,axiom,
( ~ member(X3,X2)
| member(g(X0,X1,X2),X1)
| member(g(X0,X1,X2),X2)
| member(g(X0,X1,X2),X0)
| member(X3,X0)
| member(X3,X1) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET778-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 02:46:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.76/1.93 % (758815)Input is clausal, will run a generic CNF schedule.
% 6.76/1.93 % (758975)lrs+10_1_sil=8000:sp=occurrence:random_seed=2062757894:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.76/1.93 % (758975)Refutation not found, incomplete strategy
% 6.76/1.93 % (758975)------------------------------
% 6.76/1.93 % (758975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (758975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (758975)CaDiCaL version: 2.1.3
% 6.76/1.93 % (758975)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.93 % (758975)Time elapsed: 0.0000 s
% 6.76/1.93 % (758975)Peak memory usage: 86 MB
% 6.76/1.93 % (758972)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=3632967688:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.76/1.93 % (758973)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1703400564:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.76/1.93 % (758974)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3202355052:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.76/1.93 % (758977)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2739634187:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.76/1.93 % (758976)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4128016850:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.76/1.93 % (758978)dis-21_1_sil=8000:lcm=predicate:random_seed=3036728542: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)
% 6.76/1.93 % (758976)Refutation not found, incomplete strategy
% 6.76/1.93 % (758976)------------------------------
% 6.76/1.93 % (758976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (758978)Refutation not found, incomplete strategy
% 6.76/1.93 % (758978)------------------------------
% 6.76/1.93 % (758978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (758978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (758976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (758978)CaDiCaL version: 2.1.3
% 6.76/1.93 % (758976)CaDiCaL version: 2.1.3
% 6.76/1.93 % (758976)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.93 % (758976)Time elapsed: 0.001 s
% 6.76/1.93 % (758976)Peak memory usage: 86 MB
% 6.76/1.93 % (758978)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.93 % (758978)Time elapsed: 0.001 s
% 6.76/1.93 % (758978)Peak memory usage: 86 MB
% 6.76/1.93 % (758977)Refutation not found, incomplete strategy
% 6.76/1.93 % (758977)------------------------------
% 6.76/1.93 % (758977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (758977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (758977)CaDiCaL version: 2.1.3
% 6.76/1.93 % (758977)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.93 % (758977)Time elapsed: 0.001 s
% 6.76/1.93 % (758977)Peak memory usage: 87 MB
% 6.76/1.93 % (758977)Instructions burned: 1 (million)
% 6.76/1.93 % (758975)------------------------------
% 6.76/1.93 % (758975)------------------------------
% 6.76/1.93 % (758986)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=3687409124:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.76/1.93 % (758986)Refutation not found, incomplete strategy
% 6.76/1.93 % (758986)------------------------------
% 6.76/1.93 % (758986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (758986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (758986)CaDiCaL version: 2.1.3
% 6.76/1.93 % (758986)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.93 % (758986)Time elapsed: 0.0000 s
% 6.76/1.93 % (758986)Peak memory usage: 86 MB
% 6.76/1.93 % (758977)------------------------------
% 6.76/1.93 % (758977)------------------------------
% 6.76/1.93 % (758976)------------------------------
% 6.76/1.93 % (758976)------------------------------
% 6.76/1.93 % (758978)------------------------------
% 6.76/1.93 % (758978)------------------------------
% 6.76/1.93 % (758986)------------------------------
% 6.76/1.93 % (758986)------------------------------
% 6.76/1.93 % (758988)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2198818479: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)
% 6.76/1.93 % (758989)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=350985653:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.76/1.93 % (758990)lrs+10_64_to=lpo:sil=8000:random_seed=3826957604:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.76/1.93 % (758989)Refutation not found, incomplete strategy
% 6.76/1.93 % (758989)------------------------------
% 6.76/1.93 % (758989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (758988)Refutation not found, incomplete strategy
% 6.76/1.93 % (758988)------------------------------
% 6.76/1.93 % (758988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (758989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (758988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (758989)CaDiCaL version: 2.1.3
% 6.76/1.93 % (758989)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.93 % (758989)Time elapsed: 0.0000 s
% 6.76/1.93 % (758988)CaDiCaL version: 2.1.3
% 6.76/1.93 % (758989)Peak memory usage: 86 MB
% 6.76/1.93 % (758988)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.93 % (758988)Time elapsed: 0.001 s
% 6.76/1.93 % (758988)Peak memory usage: 86 MB
% 6.76/1.93 % (758990)First to succeed.
% 6.76/1.93 % (758990)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-758815"
% 6.76/1.93 % (758991)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2742455403:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.76/1.93 % (758991)Refutation not found, incomplete strategy
% 6.76/1.93 % (758991)------------------------------
% 6.76/1.93 % (758991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (758991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (758991)CaDiCaL version: 2.1.3
% 6.76/1.93 % (758991)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.93 % (758991)Time elapsed: 0.001 s
% 6.76/1.93 % (758991)Peak memory usage: 87 MB
% 6.76/1.93 % (758991)Instructions burned: 1 (million)
% 6.76/1.93 % (758974)Refutation not found, incomplete strategy
% 6.76/1.93 % (758974)------------------------------
% 6.76/1.93 % (758974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (758974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (758974)CaDiCaL version: 2.1.3
% 6.76/1.93 % (758974)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.93 % (758974)Time elapsed: 0.606 s
% 6.76/1.93 % (758974)Peak memory usage: 125 MB
% 6.76/1.93 % (758974)Instructions burned: 898 (million)
% 6.76/1.93 % (758972)Also succeeded, but the first one will report.
% 6.76/1.93 % (758973)Refutation not found, incomplete strategy
% 6.76/1.93 % (758973)------------------------------
% 6.76/1.93 % (758973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (758973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (758973)CaDiCaL version: 2.1.3
% 6.76/1.93 % (758973)Termination reason: Refutation not found, incomplete strategy
% 6.76/1.93 % (758973)Time elapsed: 0.611 s
% 6.76/1.93 % (758973)Peak memory usage: 125 MB
% 6.76/1.93 % (758973)Instructions burned: 898 (million)
% 6.76/1.93 % (758991)------------------------------
% 6.76/1.93 % (758991)------------------------------
% 6.76/1.93 % (758988)------------------------------
% 6.76/1.93 % (758988)------------------------------
% 6.76/1.93 % (758989)------------------------------
% 6.76/1.93 % (758989)------------------------------
% 6.76/1.93 % SZS status Satisfiable for theBenchmark
% 6.76/1.93 % SZS output start Saturation.
% See solution above
% 6.76/1.93 % SZS output start Definitions and Model Updates.
% 6.76/1.93 % SZS output end Definitions and Model Updates.
% 6.76/1.93 % (758990)------------------------------
% 6.76/1.93 % (758990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/1.93 % (758990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.93 % (758990)CaDiCaL version: 2.1.3
% 6.76/1.93 % (758990)Termination reason: Satisfiable
% 6.76/1.93 % (758990)Time elapsed: 0.002 s
% 6.76/1.93 % (758990)Peak memory usage: 87 MB
% 6.76/1.93 % (758990)Instructions burned: 1 (million)
% 6.76/1.93 % (758990)------------------------------
% 6.76/1.93 % (758990)------------------------------
% 6.76/1.93 % (758815)Success in time 0.879 s
% 6.76/1.93 % Vampire exiting
%------------------------------------------------------------------------------