%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV436-1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:57:41 PM UTC 2026
% Result : Satisfiable 6.57s 1.91s
% Output : Saturation 6.57s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u35,axiom,
( ~ member(X3,X2)
| member(h(X0,X1,X2),X1)
| member(h(X0,X1,X2),X2)
| member(X3,X0) ) ).
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(difference_axiom2,axiom,
( difference(X0,X1,X2)
| member(k(X0,X1,X2),X0)
| member(k(X0,X1,X2),X2) ) ).
cnf(set_equal_sets_are_subsets2,axiom,
( ~ equal_sets(X0,X1)
| subset(X1,X0) ) ).
cnf(difference_axiom3,axiom,
( ~ member(k(X0,X1,X2),X2)
| ~ member(k(X0,X1,X2),X0)
| member(k(X0,X1,X2),X1)
| difference(X0,X1,X2) ) ).
cnf(u39,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) ) ).
cnf(member_of_both_is_member_of_intersection,axiom,
( ~ intersection(X0,X1,X2)
| ~ member(X3,X1)
| ~ member(X3,X0)
| member(X3,X2) ) ).
cnf(u30,axiom,
( ~ member(X3,X1)
| member(h(X0,X1,X2),X0)
| member(h(X0,X1,X2),X2)
| ~ member(X3,X0)
| member(X3,X2) ) ).
cnf(set_equal_sets_are_subsets1,axiom,
( ~ equal_sets(X0,X1)
| subset(X0,X1) ) ).
cnf(u41,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(intersection_axiom2,axiom,
( intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2)
| member(h(X0,X1,X2),X1) ) ).
cnf(u27,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(subsets_axiom2,axiom,
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ) ).
cnf(member_of_intersection_is_member_of_set2,axiom,
( ~ intersection(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X1) ) ).
cnf(u38,axiom,
( ~ member(X3,X2)
| member(k(X0,X1,X2),X2)
| member(k(X0,X1,X2),X0)
| member(X3,X0) ) ).
cnf(member_of_difference_or_set2,axiom,
( ~ difference(X1,X2,X3)
| ~ member(X0,X1)
| member(X0,X3)
| member(X0,X2) ) ).
cnf(intersection_axiom1,axiom,
( intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2)
| member(h(X0,X1,X2),X0) ) ).
cnf(member_of_union_is_member_of_one_set,axiom,
( ~ union(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X0)
| member(X3,X1) ) ).
cnf(u40,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(u31,axiom,
( ~ member(X3,X2)
| member(h(X0,X1,X2),X0)
| member(h(X0,X1,X2),X2)
| member(X3,X1) ) ).
cnf(u26,axiom,
( ~ subset(X0,X1)
| equal_sets(X1,X0)
| member(member_of_1_not_of_2(X1,X0),X1) ) ).
cnf(subsets_axiom1,axiom,
( subset(X0,X1)
| member(member_of_1_not_of_2(X0,X1),X0) ) ).
cnf(member_of_set2_is_member_of_union,axiom,
( ~ union(X0,X1,X2)
| ~ member(X3,X1)
| member(X3,X2) ) ).
cnf(not_member_of_difference,axiom,
( ~ difference(X3,X1,X2)
| ~ member(X0,X2)
| ~ member(X0,X1) ) ).
cnf(member_of_difference,axiom,
( ~ difference(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X0) ) ).
cnf(u34,axiom,
( ~ member(X3,X2)
| member(h(X0,X1,X2),X1)
| member(h(X0,X1,X2),X2)
| member(X3,X1) ) ).
cnf(subsets_are_set_equal_sets,axiom,
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_sets(X1,X0) ) ).
cnf(member_of_intersection_is_member_of_set1,axiom,
( ~ intersection(X0,X1,X2)
| ~ member(X3,X2)
| member(X3,X0) ) ).
cnf(u36,axiom,
( ~ member(X3,X0)
| member(k(X0,X1,X2),X2)
| member(k(X0,X1,X2),X0)
| member(X3,X2)
| member(X3,X1) ) ).
cnf(u37,axiom,
( ~ member(X3,X2)
| member(k(X0,X1,X2),X2)
| member(k(X0,X1,X2),X0)
| ~ member(X3,X1) ) ).
cnf(u32,axiom,
( ~ member(X3,X2)
| member(h(X0,X1,X2),X0)
| member(h(X0,X1,X2),X2)
| member(X3,X0) ) ).
cnf(member_of_set1_is_member_of_union,axiom,
( ~ union(X0,X1,X2)
| ~ member(X3,X0)
| member(X3,X2) ) ).
cnf(difference_axiom1,axiom,
( ~ member(k(X0,X1,X2),X1)
| member(k(X0,X1,X2),X2)
| difference(X0,X1,X2) ) ).
cnf(u33,axiom,
( ~ member(X3,X1)
| member(h(X0,X1,X2),X1)
| member(h(X0,X1,X2),X2)
| ~ member(X3,X0)
| member(X3,X2) ) ).
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(u25,axiom,
( ~ member(X0,X1)
| member(X0,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ) ).
cnf(membership_in_subsets,axiom,
( ~ subset(X1,X2)
| ~ member(X0,X1)
| member(X0,X2) ) ).
cnf(union_axiom3,axiom,
( ~ member(g(X0,X1,X2),X2)
| ~ member(g(X0,X1,X2),X1)
| union(X0,X1,X2) ) ).
cnf(union_axiom2,axiom,
( ~ member(g(X0,X1,X2),X2)
| ~ member(g(X0,X1,X2),X0)
| union(X0,X1,X2) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV436-1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.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 06:22:51 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 5.19/1.73 % (3346020)Input is clausal, will run a generic CNF schedule.
% 5.19/1.73 % (3346099)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2154800253:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.19/1.73 % (3346099)Refutation not found, incomplete strategy
% 5.19/1.73 % (3346099)------------------------------
% 5.19/1.73 % (3346099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.19/1.73 % (3346099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.73 % (3346099)CaDiCaL version: 2.1.3
% 5.19/1.73 % (3346099)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.73 % (3346099)Time elapsed: 0.001 s
% 5.19/1.73 % (3346099)Peak memory usage: 87 MB
% 5.19/1.73 % (3346098)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=672079854:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.19/1.73 % (3346099)Instructions burned: 2 (million)
% 5.19/1.73 % (3346096)lrs+10_1_sil=8000:sp=occurrence:random_seed=363171629:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.19/1.73 % (3346093)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2570219637:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.19/1.73 % (3346102)dis-21_1_sil=8000:lcm=predicate:random_seed=4165447784: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)
% 5.19/1.73 % (3346092)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=2633942079:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.19/1.73 % (3346094)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=778657443:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.19/1.73 % (3346098)Refutation not found, incomplete strategy
% 5.19/1.73 % (3346098)------------------------------
% 5.19/1.73 % (3346098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.19/1.73 % (3346098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.73 % (3346098)CaDiCaL version: 2.1.3
% 5.19/1.73 % (3346098)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.73 % (3346098)Time elapsed: 0.0000 s
% 5.19/1.73 % (3346098)Peak memory usage: 86 MB
% 5.19/1.73 % (3346096)Refutation not found, incomplete strategy
% 5.19/1.73 % (3346096)------------------------------
% 5.19/1.73 % (3346096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.19/1.73 % (3346096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.73 % (3346096)CaDiCaL version: 2.1.3
% 5.19/1.73 % (3346096)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.73 % (3346096)Time elapsed: 0.0000 s
% 5.19/1.73 % (3346096)Peak memory usage: 86 MB
% 5.19/1.73 % (3346102)Refutation not found, incomplete strategy
% 5.19/1.73 % (3346102)------------------------------
% 5.19/1.73 % (3346102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.19/1.73 % (3346102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.73 % (3346102)CaDiCaL version: 2.1.3
% 5.19/1.73 % (3346102)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.73 % (3346102)Time elapsed: 0.0000 s
% 5.19/1.73 % (3346102)Peak memory usage: 86 MB
% 5.19/1.73 % (3346099)------------------------------
% 5.19/1.73 % (3346099)------------------------------
% 5.19/1.73 % (3346098)------------------------------
% 5.19/1.73 % (3346098)------------------------------
% 5.19/1.73 % (3346102)------------------------------
% 5.19/1.73 % (3346102)------------------------------
% 5.19/1.73 % (3346096)------------------------------
% 5.19/1.73 % (3346096)------------------------------
% 5.19/1.73 % (3346156)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=3558206475:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 5.19/1.73 % (3346156)Refutation not found, incomplete strategy
% 5.19/1.73 % (3346156)------------------------------
% 5.19/1.73 % (3346156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.19/1.73 % (3346156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.73 % (3346156)CaDiCaL version: 2.1.3
% 5.19/1.73 % (3346156)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.91 % (3346156)Time elapsed: 0.001 s
% 6.57/1.91 % (3346156)Peak memory usage: 86 MB
% 6.57/1.91 % (3346190)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3933465753:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.57/1.91 % (3346190)Refutation not found, incomplete strategy
% 6.57/1.91 % (3346190)------------------------------
% 6.57/1.91 % (3346190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.91 % (3346190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.91 % (3346190)CaDiCaL version: 2.1.3
% 6.57/1.91 % (3346190)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.91 % (3346190)Time elapsed: 0.0000 s
% 6.57/1.91 % (3346190)Peak memory usage: 86 MB
% 6.57/1.91 % (3346191)lrs+10_64_to=lpo:sil=8000:random_seed=2107358786:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.57/1.91 % (3346188)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=376022158: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)
% 6.57/1.91 % (3346188)Refutation not found, incomplete strategy
% 6.57/1.91 % (3346188)------------------------------
% 6.57/1.91 % (3346188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.91 % (3346188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.91 % (3346188)CaDiCaL version: 2.1.3
% 6.57/1.91 % (3346188)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.91 % (3346188)Time elapsed: 0.001 s
% 6.57/1.91 % (3346188)Peak memory usage: 86 MB
% 6.57/1.91 % (3346191)First to succeed.
% 6.57/1.91 % (3346191)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3346020"
% 6.57/1.91 % (3346190)------------------------------
% 6.57/1.91 % (3346190)------------------------------
% 6.57/1.91 % (3346156)------------------------------
% 6.57/1.91 % (3346156)------------------------------
% 6.57/1.91 % (3346228)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3028948459:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 6.57/1.91 % (3346228)Refutation not found, incomplete strategy
% 6.57/1.91 % (3346228)------------------------------
% 6.57/1.91 % (3346228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.91 % (3346228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.91 % (3346228)CaDiCaL version: 2.1.3
% 6.57/1.91 % (3346228)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.91 % (3346228)Time elapsed: 0.001 s
% 6.57/1.91 % (3346228)Peak memory usage: 87 MB
% 6.57/1.91 % (3346228)Instructions burned: 1 (million)
% 6.57/1.91 % (3346094)Refutation not found, incomplete strategy
% 6.57/1.91 % (3346094)------------------------------
% 6.57/1.91 % (3346094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.91 % (3346094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.91 % (3346094)CaDiCaL version: 2.1.3
% 6.57/1.91 % (3346094)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.91 % (3346094)Time elapsed: 0.624 s
% 6.57/1.91 % (3346094)Peak memory usage: 126 MB
% 6.57/1.91 % (3346094)Instructions burned: 906 (million)
% 6.57/1.91 % (3346093)Refutation not found, incomplete strategy
% 6.57/1.91 % (3346093)------------------------------
% 6.57/1.91 % (3346093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.91 % (3346093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.91 % (3346093)CaDiCaL version: 2.1.3
% 6.57/1.91 % (3346093)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.91 % (3346093)Time elapsed: 0.624 s
% 6.57/1.91 % (3346093)Peak memory usage: 125 MB
% 6.57/1.91 % (3346093)Instructions burned: 908 (million)
% 6.57/1.91 % (3346092)Also succeeded, but the first one will report.
% 6.57/1.91 % (3346188)------------------------------
% 6.57/1.91 % (3346188)------------------------------
% 6.57/1.91 % SZS status Satisfiable for theBenchmark
% 6.57/1.91 % SZS output start Saturation.
% See solution above
% 6.57/1.91 % SZS output start Definitions and Model Updates.
% 6.57/1.91 % SZS output end Definitions and Model Updates.
% 6.57/1.91 % (3346191)------------------------------
% 6.57/1.91 % (3346191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.91 % (3346191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.91 % (3346191)CaDiCaL version: 2.1.3
% 6.57/1.91 % (3346191)Termination reason: Satisfiable
% 6.57/1.91 % (3346191)Time elapsed: 0.003 s
% 6.57/1.91 % (3346191)Peak memory usage: 87 MB
% 6.57/1.91 % (3346191)Instructions burned: 2 (million)
% 6.57/1.91 % (3346191)------------------------------
% 6.57/1.91 % (3346191)------------------------------
% 6.57/1.91 % (3346020)Success in time 0.861 s
% 6.57/1.91 % Vampire exiting
%------------------------------------------------------------------------------