%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET779-1 : 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 6.66s 1.92s
% Output : Saturation 6.66s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u20,axiom,
( ~ member(X3,X2)
| member(h(X0,X1,X2),X0)
| member(h(X0,X1,X2),X2)
| member(X3,X0) ) ).
cnf(u13,axiom,
( ~ member(X0,X1)
| member(X0,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ) ).
cnf(u23,axiom,
( ~ member(X3,X2)
| member(h(X0,X1,X2),X1)
| member(h(X0,X1,X2),X2)
| member(X3,X0) ) ).
cnf(intersection_axiom3,axiom,
( ~ member(h(X0,X1,X2),X2)
| ~ member(h(X0,X1,X2),X1)
| ~ member(h(X0,X1,X2),X0)
| intersection(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,X2)
| member(h(X0,X1,X2),X0)
| member(h(X0,X1,X2),X2)
| member(X3,X1) ) ).
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_intersection_is_member_of_set1,axiom,
( ~ intersection(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X0) ) ).
cnf(member_of_both_is_member_of_intersection,axiom,
( ~ intersection(X0,X1,X2)
| ~ member(X3,X1)
| ~ member(X3,X0)
| member(X3,X2) ) ).
cnf(subsets_are_set_equal_sets,axiom,
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_sets(X1,X0) ) ).
cnf(member_of_intersection_is_member_of_set2,axiom,
( ~ intersection(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X1) ) ).
cnf(membership_in_subsets,axiom,
( ~ subset(X1,X2)
| ~ member(X0,X1)
| member(X0,X2) ) ).
cnf(intersection_axiom2,axiom,
( intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2)
| member(h(X0,X1,X2),X1) ) ).
cnf(u22,axiom,
( ~ member(X3,X2)
| member(h(X0,X1,X2),X1)
| member(h(X0,X1,X2),X2)
| member(X3,X1) ) ).
cnf(intersection_axiom1,axiom,
( intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2)
| member(h(X0,X1,X2),X0) ) ).
cnf(subsets_axiom2,axiom,
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ) ).
cnf(u21,axiom,
( ~ member(X3,X1)
| member(h(X0,X1,X2),X1)
| member(h(X0,X1,X2),X2)
| ~ member(X3,X0)
| member(X3,X2) ) ).
cnf(subsets_axiom1,axiom,
( subset(X0,X1)
| member(member_of_1_not_of_2(X0,X1),X0) ) ).
cnf(u18,axiom,
( ~ member(X3,X1)
| member(h(X0,X1,X2),X0)
| member(h(X0,X1,X2),X2)
| ~ member(X3,X0)
| member(X3,X2) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET779-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 02:46:36 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 6.66/1.92 % (757851)Input is clausal, will run a generic CNF schedule.
% 6.66/1.92 % (757962)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3748040895:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.66/1.92 % (757962)Refutation not found, incomplete strategy
% 6.66/1.92 % (757962)------------------------------
% 6.66/1.92 % (757962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.92 % (757962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.92 % (757962)CaDiCaL version: 2.1.3
% 6.66/1.92 % (757962)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.92 % (757962)Time elapsed: 0.001 s
% 6.66/1.92 % (757962)Peak memory usage: 88 MB
% 6.66/1.92 % (757962)Instructions burned: 1 (million)
% 6.66/1.92 % (757961)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=521487292:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.66/1.92 % (757957)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=3177594820:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.66/1.92 % (757959)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1415060490:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.66/1.92 % (757958)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3068262676:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.66/1.92 % (757961)Refutation not found, incomplete strategy
% 6.66/1.92 % (757961)------------------------------
% 6.66/1.92 % (757961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.92 % (757961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.92 % (757961)CaDiCaL version: 2.1.3
% 6.66/1.92 % (757961)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.92 % (757961)Time elapsed: 0.0000 s
% 6.66/1.92 % (757961)Peak memory usage: 86 MB
% 6.66/1.92 % (757960)lrs+10_1_sil=8000:sp=occurrence:random_seed=1618755173:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.66/1.92 % (757960)Refutation not found, incomplete strategy
% 6.66/1.92 % (757960)------------------------------
% 6.66/1.92 % (757960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.92 % (757960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.92 % (757960)CaDiCaL version: 2.1.3
% 6.66/1.92 % (757960)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.92 % (757960)Time elapsed: 0.0000 s
% 6.66/1.92 % (757960)Peak memory usage: 86 MB
% 6.66/1.92 % (757963)dis-21_1_sil=8000:lcm=predicate:random_seed=3503539120: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)
% 6.66/1.92 % (757963)Refutation not found, incomplete strategy
% 6.66/1.92 % (757963)------------------------------
% 6.66/1.92 % (757963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.92 % (757963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.92 % (757963)CaDiCaL version: 2.1.3
% 6.66/1.92 % (757963)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.92 % (757963)Time elapsed: 0.001 s
% 6.66/1.92 % (757963)Peak memory usage: 86 MB
% 6.66/1.92 % (757962)------------------------------
% 6.66/1.92 % (757962)------------------------------
% 6.66/1.92 % (757961)------------------------------
% 6.66/1.92 % (757961)------------------------------
% 6.66/1.92 % (757960)------------------------------
% 6.66/1.92 % (757960)------------------------------
% 6.66/1.92 % (757993)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=1472921690:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.66/1.92 % (757993)Refutation not found, incomplete strategy
% 6.66/1.92 % (757993)------------------------------
% 6.66/1.92 % (757993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.92 % (757993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.92 % (757993)CaDiCaL version: 2.1.3
% 6.66/1.92 % (757993)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.92 % (757993)Time elapsed: 0.0000 s
% 6.66/1.92 % (757993)Peak memory usage: 86 MB
% 6.66/1.92 % (757963)------------------------------
% 6.66/1.92 % (757963)------------------------------
% 6.66/1.92 % (758012)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=310701644:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.66/1.92 % (758011)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1956577808: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)
% 6.66/1.92 % (758012)Refutation not found, incomplete strategy
% 6.66/1.92 % (758012)------------------------------
% 6.66/1.92 % (758012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.92 % (758011)Refutation not found, incomplete strategy
% 6.66/1.92 % (758011)------------------------------
% 6.66/1.92 % (758011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.92 % (758012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.92 % (758011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.92 % (758012)CaDiCaL version: 2.1.3
% 6.66/1.92 % (758012)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.92 % (758012)Time elapsed: 0.0000 s
% 6.66/1.92 % (758011)CaDiCaL version: 2.1.3
% 6.66/1.92 % (758011)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.92 % (758011)Time elapsed: 0.0000 s
% 6.66/1.92 % (758012)Peak memory usage: 86 MB
% 6.66/1.92 % (758011)Peak memory usage: 86 MB
% 6.66/1.92 % (757993)------------------------------
% 6.66/1.92 % (757993)------------------------------
% 6.66/1.92 % (758018)lrs+10_64_to=lpo:sil=8000:random_seed=2176198853:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.66/1.92 % (758018)First to succeed.
% 6.66/1.92 % (758018)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-757851"
% 6.66/1.92 % (758073)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1571604471:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.66/1.92 % (758073)Refutation not found, incomplete strategy
% 6.66/1.92 % (758073)------------------------------
% 6.66/1.92 % (758073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.92 % (758073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.92 % (758073)CaDiCaL version: 2.1.3
% 6.66/1.92 % (758073)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.92 % (758073)Time elapsed: 0.001 s
% 6.66/1.92 % (758073)Peak memory usage: 87 MB
% 6.66/1.92 % (757958)Refutation not found, incomplete strategy
% 6.66/1.92 % (757958)------------------------------
% 6.66/1.92 % (757958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.92 % (757958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.92 % (757958)CaDiCaL version: 2.1.3
% 6.66/1.92 % (757958)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.92 % (757958)Time elapsed: 0.617 s
% 6.66/1.92 % (757958)Peak memory usage: 127 MB
% 6.66/1.92 % (757958)Instructions burned: 897 (million)
% 6.66/1.92 % (757959)Refutation not found, incomplete strategy
% 6.66/1.92 % (757959)------------------------------
% 6.66/1.92 % (757959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.92 % (757959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.92 % (757959)CaDiCaL version: 2.1.3
% 6.66/1.92 % (757959)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.92 % (757959)Time elapsed: 0.618 s
% 6.66/1.92 % (757959)Peak memory usage: 126 MB
% 6.66/1.92 % (757959)Instructions burned: 902 (million)
% 6.66/1.92 % (757957)Also succeeded, but the first one will report.
% 6.66/1.92 % (758011)------------------------------
% 6.66/1.92 % (758011)------------------------------
% 6.66/1.92 % (758012)------------------------------
% 6.66/1.92 % (758012)------------------------------
% 6.66/1.92 % (758073)------------------------------
% 6.66/1.92 % (758073)------------------------------
% 6.66/1.92 % SZS status Satisfiable for theBenchmark
% 6.66/1.92 % SZS output start Saturation.
% See solution above
% 6.66/1.92 % SZS output start Definitions and Model Updates.
% 6.66/1.92 % SZS output end Definitions and Model Updates.
% 6.66/1.92 % (758018)------------------------------
% 6.66/1.92 % (758018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.66/1.92 % (758018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.66/1.92 % (758018)CaDiCaL version: 2.1.3
% 6.66/1.92 % (758018)Termination reason: Satisfiable
% 6.66/1.92 % (758018)Time elapsed: 0.002 s
% 6.66/1.92 % (758018)Peak memory usage: 87 MB
% 6.66/1.92 % (758018)Instructions burned: 1 (million)
% 6.66/1.92 % (758018)------------------------------
% 6.66/1.92 % (758018)------------------------------
% 6.66/1.92 % (757851)Success in time 0.85 s
% 6.66/1.92 % Vampire exiting
%------------------------------------------------------------------------------