%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN522+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 02:00:49 PM UTC 2026
% Result : CounterSatisfiable 3.42s 1.17s
% Output : Saturation 3.42s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u220,negated_conjecture,
~ c3_0 ).
cnf(u229,negated_conjecture,
ndr1_0 ).
cnf(u188,negated_conjecture,
( ~ c5_1(X22)
| c1_2(X22,X23)
| ~ c4_1(X22)
| ~ ndr1_1(X22)
| c3_2(X22,X23)
| c2_2(X22,X23) ) ).
cnf(u231,negated_conjecture,
c4_0 ).
cnf(u211,negated_conjecture,
( c5_1(X20)
| ~ ndr1_1(X20)
| c3_2(X20,X21)
| c2_2(X20,X21)
| c5_2(X20,X21)
| ~ c4_2(X20,a138) ) ).
cnf(u254,negated_conjecture,
c2_0 ).
cnf(u218,negated_conjecture,
( c5_1(X20)
| ~ ndr1_1(X20)
| c3_2(X20,X21)
| c2_2(X20,X21)
| c5_2(X20,X21)
| c5_2(X20,a138) ) ).
cnf(u456,negated_conjecture,
~ sP0 ).
cnf(u237,negated_conjecture,
~ c2_1(a134) ).
cnf(u241,negated_conjecture,
~ ndr1_1(a134) ).
cnf(u478,negated_conjecture,
~ sP2 ).
cnf(u269,negated_conjecture,
~ c1_1(a130) ).
cnf(u523,negated_conjecture,
~ sP4 ).
cnf(u488,negated_conjecture,
~ sP3 ).
cnf(u279,negated_conjecture,
~ ndr1_1(a130) ).
cnf(u291,negated_conjecture,
~ c1_1(a123) ).
cnf(u295,negated_conjecture,
c5_1(a123) ).
cnf(u299,negated_conjecture,
~ c2_2(a123,a124) ).
cnf(u303,negated_conjecture,
c1_2(a123,a124) ).
cnf(u307,negated_conjecture,
ndr1_1(a123) ).
cnf(u318,negated_conjecture,
~ c1_0 ).
cnf(u337,negated_conjecture,
( sP5(X12)
| ~ c2_2(X12,a119)
| c4_1(X12) ) ).
cnf(u341,negated_conjecture,
( sP5(X12)
| c4_2(X12,a119)
| c4_1(X12) ) ).
cnf(u345,negated_conjecture,
( sP5(X12)
| ~ c3_2(X12,a119)
| c4_1(X12) ) ).
cnf(u349,negated_conjecture,
( sP5(X12)
| ndr1_1(X12)
| c4_1(X12) ) ).
cnf(u354,negated_conjecture,
~ c2_1(a118) ).
cnf(u358,negated_conjecture,
c1_1(a118) ).
cnf(u362,negated_conjecture,
c5_1(a118) ).
cnf(u549,negated_conjecture,
~ sP8 ).
cnf(u426,negated_conjecture,
( ~ c3_1(X2)
| ~ c5_1(X2)
| ~ ndr1_1(X2)
| ~ c3_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ c5_2(X2,X3) ) ).
cnf(u573,negated_conjecture,
~ sP9 ).
cnf(u612,negated_conjecture,
~ sP12 ).
cnf(u590,negated_conjecture,
~ sP11 ).
cnf(u446,negated_conjecture,
( sP10(X0)
| c2_2(X0,X1)
| ~ c1_2(X0,a104)
| ~ ndr1_1(X0)
| c3_2(X0,X1)
| ~ c5_2(X0,X1) ) ).
cnf(u450,negated_conjecture,
( sP10(X0)
| c2_2(X0,X1)
| c3_2(X0,a104)
| ~ ndr1_1(X0)
| c3_2(X0,X1)
| ~ c5_2(X0,X1) ) ).
cnf(u454,negated_conjecture,
( sP10(X0)
| c2_2(X0,X1)
| c4_2(X0,a104)
| ~ ndr1_1(X0)
| c3_2(X0,X1)
| ~ c5_2(X0,X1) ) ).
cnf(u634,negated_conjecture,
~ ndr1_1(a118) ).
cnf(u645,negated_conjecture,
~ c4_1(a123) ).
cnf(u681,negated_conjecture,
~ c1_2(a123,a120) ).
cnf(u684,negated_conjecture,
~ c3_2(a123,a119) ).
cnf(u704,negated_conjecture,
~ c2_2(a123,a119) ).
cnf(u695,negated_conjecture,
( c2_2(X0,X2)
| c5_2(X0,a120)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| c5_2(X0,a138)
| c1_2(X0,X2)
| ~ ndr1_1(X0)
| c3_2(X0,X2)
| ~ c3_2(X0,a119) ) ).
cnf(u53,axiom,
( ~ sP10(X0)
| ~ c4_2(X0,a105) ) ).
cnf(u672,negated_conjecture,
( ~ c4_2(X0,a105)
| c2_2(X0,X1)
| ~ c1_2(X0,a104)
| ~ ndr1_1(X0)
| c3_2(X0,X1)
| ~ c5_2(X0,X1) ) ).
cnf(u673,negated_conjecture,
( c4_1(X0)
| ~ c3_2(X0,a119)
| ~ c1_2(X0,a120) ) ).
cnf(u665,negated_conjecture,
( ~ c5_2(X0,X1)
| c2_2(X0,X1)
| c3_2(X0,a104)
| ~ ndr1_1(X0)
| c3_2(X0,X1)
| c2_2(X0,a105) ) ).
cnf(u66,axiom,
( ~ sP7(X0)
| c1_2(X0,a116) ) ).
cnf(u77,axiom,
( ~ sP5(X0)
| ndr1_1(X0) ) ).
cnf(u669,negated_conjecture,
( ~ c5_2(X0,X1)
| c2_2(X0,X1)
| ~ c1_2(X0,a104)
| ~ ndr1_1(X0)
| c3_2(X0,X1)
| ~ c3_2(X0,a105) ) ).
cnf(u76,axiom,
( ~ sP5(X0)
| c2_2(X0,a120) ) ).
cnf(u675,negated_conjecture,
( c4_1(X0)
| ~ c2_2(X0,a119)
| ~ c1_2(X0,a120) ) ).
cnf(u68,axiom,
( ~ sP7(X0)
| c5_2(X0,a116) ) ).
cnf(u667,negated_conjecture,
( c4_2(X0,a104)
| c2_2(X0,X1)
| ~ c3_2(X0,a105)
| ~ ndr1_1(X0)
| c3_2(X0,X1)
| ~ c5_2(X0,X1) ) ).
cnf(u719,negated_conjecture,
( c2_2(X0,X2)
| c2_2(X0,a120)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| c5_2(X0,a138)
| c1_2(X0,X2)
| ~ ndr1_1(X0)
| c3_2(X0,X2)
| ~ c2_2(X0,a119) ) ).
cnf(u714,negated_conjecture,
( c4_1(X0)
| ~ c2_2(X0,a119)
| c2_2(X0,a120) ) ).
cnf(u99,axiom,
( ~ sP1(X0)
| c5_2(X0,a132) ) ).
cnf(u690,negated_conjecture,
( c4_1(X0)
| ~ c3_2(X0,a119)
| c5_2(X0,a120) ) ).
cnf(u653,negated_conjecture,
( ~ c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| c5_2(X0,a138)
| c1_2(X0,X2)
| ~ ndr1_1(X0)
| c3_2(X0,X2)
| c2_2(X0,X2) ) ).
cnf(u670,negated_conjecture,
( ~ c4_2(X0,a105)
| c2_2(X0,X1)
| c4_2(X0,a104)
| ~ ndr1_1(X0)
| c3_2(X0,X1)
| ~ c5_2(X0,X1) ) ).
cnf(u101,axiom,
( ~ sP1(X0)
| ndr1_1(X0) ) ).
cnf(u651,negated_conjecture,
( ~ c4_2(X0,a138)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| c1_2(X0,X2)
| ~ c4_1(X0)
| c3_2(X0,X2)
| c2_2(X0,X2) ) ).
cnf(u713,negated_conjecture,
( c4_2(X0,a119)
| c2_2(X0,a120)
| c4_1(X0) ) ).
cnf(u717,negated_conjecture,
( c2_2(X0,X2)
| c2_2(X0,a120)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| c5_2(X0,a138)
| c1_2(X0,X2)
| ~ ndr1_1(X0)
| c3_2(X0,X2)
| ~ c3_2(X0,a119) ) ).
cnf(u75,axiom,
( ~ sP5(X0)
| c5_2(X0,a120) ) ).
cnf(u692,negated_conjecture,
( c4_1(X0)
| ~ c2_2(X0,a119)
| c5_2(X0,a120) ) ).
cnf(u72,axiom,
( ~ sP6(X0)
| c4_2(X0,a117) ) ).
cnf(u74,axiom,
( ~ sP5(X0)
| ~ c1_2(X0,a120) ) ).
cnf(u666,negated_conjecture,
( ~ c5_2(X0,X1)
| c2_2(X0,X1)
| ~ c1_2(X0,a104)
| ~ ndr1_1(X0)
| c3_2(X0,X1)
| c2_2(X0,a105) ) ).
cnf(u51,axiom,
( ~ sP10(X0)
| c2_2(X0,a105) ) ).
cnf(u100,axiom,
( ~ sP1(X0)
| c2_2(X0,a132) ) ).
cnf(u52,axiom,
( ~ sP10(X0)
| ~ c3_2(X0,a105) ) ).
cnf(u674,negated_conjecture,
( c4_2(X0,a119)
| ~ c1_2(X0,a120)
| c4_1(X0) ) ).
cnf(u73,axiom,
( ~ sP6(X0)
| ndr1_1(X0) ) ).
cnf(u71,axiom,
( ~ sP6(X0)
| ~ c5_2(X0,a117) ) ).
cnf(u70,axiom,
( ~ sP6(X0)
| c3_2(X0,a117) ) ).
cnf(u691,negated_conjecture,
( c4_2(X0,a119)
| c5_2(X0,a120)
| c4_1(X0) ) ).
cnf(u712,negated_conjecture,
( c4_1(X0)
| ~ c3_2(X0,a119)
| c2_2(X0,a120) ) ).
cnf(u67,axiom,
( ~ sP7(X0)
| ~ c2_2(X0,a116) ) ).
cnf(u687,negated_conjecture,
( c2_2(X0,X2)
| ~ c1_2(X0,a120)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| c5_2(X0,a138)
| c1_2(X0,X2)
| ~ ndr1_1(X0)
| c3_2(X0,X2)
| ~ c2_2(X0,a119) ) ).
cnf(u668,negated_conjecture,
( ~ c5_2(X0,X1)
| c2_2(X0,X1)
| c3_2(X0,a104)
| ~ ndr1_1(X0)
| c3_2(X0,X1)
| ~ c3_2(X0,a105) ) ).
cnf(u671,negated_conjecture,
( ~ c4_2(X0,a105)
| c2_2(X0,X1)
| c3_2(X0,a104)
| ~ ndr1_1(X0)
| c3_2(X0,X1)
| ~ c5_2(X0,X1) ) ).
cnf(u69,axiom,
( ~ sP7(X0)
| ndr1_1(X0) ) ).
cnf(u98,axiom,
( ~ sP1(X0)
| c1_2(X0,a132) ) ).
cnf(u664,negated_conjecture,
( c4_2(X0,a104)
| c2_2(X0,X1)
| c2_2(X0,a105)
| ~ ndr1_1(X0)
| c3_2(X0,X1)
| ~ c5_2(X0,X1) ) ).
cnf(u701,negated_conjecture,
( c2_2(X0,X2)
| c5_2(X0,a120)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| c5_2(X0,a138)
| c1_2(X0,X2)
| ~ ndr1_1(X0)
| c3_2(X0,X2)
| ~ c2_2(X0,a119) ) ).
cnf(u54,axiom,
( ~ sP10(X0)
| ndr1_1(X0) ) ).
cnf(u661,negated_conjecture,
( c4_1(X0)
| ndr1_1(X0) ) ).
cnf(u678,negated_conjecture,
( c2_2(X0,X2)
| ~ c1_2(X0,a120)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,X1)
| c5_2(X0,a138)
| c1_2(X0,X2)
| ~ ndr1_1(X0)
| c3_2(X0,X2)
| ~ c3_2(X0,a119) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN522+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n016.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 16:28:19 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.42/1.17 % (3743464)Detected formulas, will run a generic FOF schedule.
% 3.42/1.17 % (3743472)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2177101018:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.42/1.17 % (3743472)Refutation not found, incomplete strategy
% 3.42/1.17 % (3743472)------------------------------
% 3.42/1.17 % (3743472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.17 % (3743472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.17 % (3743472)CaDiCaL version: 2.1.3
% 3.42/1.17 % (3743472)Termination reason: Refutation not found, incomplete strategy
% 3.42/1.17 % (3743472)Time elapsed: 0.004 s
% 3.42/1.17 % (3743472)Peak memory usage: 88 MB
% 3.42/1.17 % (3743472)Instructions burned: 11 (million)
% 3.42/1.17 % (3743475)dis-21_1_sil=8000:lcm=predicate:random_seed=596001470:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.42/1.17 % (3743473)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=706576762:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.42/1.17 % (3743474)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1421048111:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.42/1.17 % (3743469)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=576223145:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.42/1.17 % (3743470)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=555553665:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.42/1.17 % (3743471)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=786276018:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.42/1.17 % (3743474)Refutation not found, incomplete strategy
% 3.42/1.17 % (3743474)------------------------------
% 3.42/1.17 % (3743474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.17 % (3743474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.17 % (3743474)CaDiCaL version: 2.1.3
% 3.42/1.17 % (3743474)Termination reason: Refutation not found, incomplete strategy
% 3.42/1.17 % (3743474)Time elapsed: 0.005 s
% 3.42/1.17 % (3743474)Peak memory usage: 89 MB
% 3.42/1.17 % (3743474)Instructions burned: 6 (million)
% 3.42/1.17 % (3743475)First to succeed.
% 3.42/1.17 % (3743475)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3743464"
% 3.42/1.17 % (3743473)Refutation not found, incomplete strategy
% 3.42/1.17 % (3743473)------------------------------
% 3.42/1.17 % (3743473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.17 % (3743473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.17 % (3743473)CaDiCaL version: 2.1.3
% 3.42/1.17 % (3743473)Termination reason: Refutation not found, incomplete strategy
% 3.42/1.17 % (3743473)Time elapsed: 0.017 s
% 3.42/1.17 % (3743473)Peak memory usage: 88 MB
% 3.42/1.17 % (3743473)Instructions burned: 30 (million)
% 3.42/1.17 % (3743472)------------------------------
% 3.42/1.17 % (3743472)------------------------------
% 3.42/1.17 % (3743483)lrs+10_1_sil=8000:sp=occurrence:random_seed=3399159315:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.42/1.17 % (3743483)Also succeeded, but the first one will report.
% 3.42/1.17 % SZS status CounterSatisfiable for theBenchmark
% 3.42/1.17 % SZS output start Saturation.
% See solution above
% 3.42/1.18 % SZS output start Definitions and Model Updates.
% 3.42/1.18 % SZS output end Definitions and Model Updates.
% 3.42/1.18 % (3743475)------------------------------
% 3.42/1.18 % (3743475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.18 % (3743475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.18 % (3743475)CaDiCaL version: 2.1.3
% 3.42/1.18 % (3743475)Termination reason: Satisfiable
% 3.42/1.18 % (3743475)Time elapsed: 0.007 s
% 3.42/1.18 % (3743475)Peak memory usage: 89 MB
% 3.42/1.18 % (3743475)Instructions burned: 9 (million)
% 3.42/1.18 % (3743475)------------------------------
% 3.42/1.18 % (3743475)------------------------------
% 3.42/1.18 % (3743464)Success in time 0.409 s
% 3.42/1.18 % Vampire exiting
%------------------------------------------------------------------------------