%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS014-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 11:41:27 AM UTC 2026
% Result : Satisfiable 6.50s 1.90s
% Output : Saturation 6.50s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u22,negated_conjecture,
s(exists,u2r2(exists)) ).
cnf(u29,negated_conjecture,
r(exists,u2r3(exists)) ).
cnf(clause_5,axiom,
( ~ e(X0)
| r1exact(X0) ) ).
cnf(u48,axiom,
( equalish(u2r1(u2r2(X0),X1,X2),u2r3(X0))
| ~ s(X2,u2r2(X0))
| ~ s(X2,X1)
| s2exact(X2)
| equalish(u2r2(X0),X1)
| ~ s2exact(X0)
| ~ s(X0,u2r1(u2r2(X0),X1,X2)) ) ).
cnf(clause_15,axiom,
( ~ s2exact(X0)
| s(X0,u2r3(X0)) ) ).
cnf(clause_10,axiom,
( ~ equalish(u1r1(X1,X0),X1)
| ~ r(X0,X1)
| r1exact(X0) ) ).
cnf(clause_4,axiom,
( ~ e(X0)
| s2exact(X0) ) ).
cnf(clause_17,axiom,
( ~ equalish(u2r1(X1,X2,X0),X1)
| equalish(X1,X2)
| ~ s(X0,X1)
| ~ s(X0,X2)
| s2exact(X0) ) ).
cnf(clause_3,axiom,
( ~ s(X0,X1)
| ~ e(X0)
| r(X0,X1) ) ).
cnf(clause_14,axiom,
( ~ s2exact(X0)
| s(X0,u2r2(X0)) ) ).
cnf(u38,negated_conjecture,
equalish(u1r2(exists),u1r2(exists)) ).
cnf(u45,axiom,
( equalish(u2r3(X0),u2r3(X0))
| ~ s2exact(X0) ) ).
cnf(u21,negated_conjecture,
r(exists,u1r2(exists)) ).
cnf(clause_16,axiom,
( ~ equalish(u2r1(X1,X2,X0),X2)
| equalish(X1,X2)
| ~ s(X0,X1)
| ~ s(X0,X2)
| s2exact(X0) ) ).
cnf(clause_7,axiom,
( ~ r(X0,u0r1(X0))
| ~ r1exact(X0)
| ~ s2exact(X0)
| e(X0)
| ~ s(X0,u0r1(X0)) ) ).
cnf(u25,negated_conjecture,
s(exists,u1r2(exists)) ).
cnf(clause_2,axiom,
( ~ r(X0,X1)
| ~ e(X0)
| s(X0,X1) ) ).
cnf(clause_9,axiom,
( ~ r1exact(X0)
| r(X0,u1r2(X0)) ) ).
cnf(u20,negated_conjecture,
r1exact(exists) ).
cnf(u43,axiom,
( ~ s(X0,u1r1(u2r2(X0),X1))
| ~ s2exact(X0)
| equalish(u1r1(u2r2(X0),X1),u2r3(X0))
| ~ r(X1,u2r2(X0))
| r1exact(X1) ) ).
cnf(u19,negated_conjecture,
s2exact(exists) ).
cnf(u30,negated_conjecture,
r(exists,u2r2(exists)) ).
cnf(clause_6,axiom,
( ~ r1exact(X0)
| s(X0,u0r1(X0))
| r(X0,u0r1(X0))
| e(X0)
| ~ s2exact(X0) ) ).
cnf(clause_13,axiom,
( ~ equalish(u2r3(X0),u2r2(X0))
| ~ s2exact(X0) ) ).
cnf(u54,axiom,
( ~ s(X1,u2r1(u2r3(X1),u2r2(X1),X0))
| ~ s(X0,u2r2(X1))
| s2exact(X0)
| ~ s2exact(X1)
| ~ s(X0,u2r3(X1)) ) ).
cnf(u37,negated_conjecture,
equalish(u2r3(exists),u1r2(exists)) ).
cnf(clause_8,axiom,
( ~ r(X1,X0)
| ~ r1exact(X1)
| equalish(X0,u1r2(X1)) ) ).
cnf(u23,negated_conjecture,
s(exists,u2r3(exists)) ).
cnf(u56,axiom,
( ~ s(X1,u2r1(u2r2(X1),u2r3(X1),X0))
| ~ s(X0,u2r3(X1))
| s2exact(X0)
| equalish(u2r2(X1),u2r3(X1))
| ~ s2exact(X1)
| ~ s(X0,u2r2(X1)) ) ).
cnf(u47,axiom,
( equalish(u2r1(X0,u2r2(X1),X2),u2r3(X1))
| ~ s(X2,X0)
| ~ s(X2,u2r2(X1))
| s2exact(X2)
| equalish(X0,u2r2(X1))
| ~ s2exact(X1)
| ~ s(X1,u2r1(X0,u2r2(X1),X2)) ) ).
cnf(clause_18,axiom,
( ~ s(X0,X2)
| equalish(X1,X2)
| s(X0,u2r1(X1,X2,X0))
| ~ s(X0,X1)
| s2exact(X0) ) ).
cnf(clause_1,negated_conjecture,
e(exists) ).
cnf(u36,negated_conjecture,
equalish(u2r2(exists),u1r2(exists)) ).
cnf(clause_12,axiom,
( equalish(X0,u2r2(X1))
| equalish(X0,u2r3(X1))
| ~ s2exact(X1)
| ~ s(X1,X0) ) ).
cnf(clause_11,axiom,
( ~ r(X0,X1)
| r(X0,u1r1(X1,X0))
| r1exact(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS014-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n020.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 : Sun Sep 27 13:17:04 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 6.50/1.89 % (3376448)Input is clausal, will run a generic CNF schedule.
% 6.50/1.89 % (3376459)dis-21_1_sil=8000:lcm=predicate:random_seed=2377131021: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)
% 6.50/1.89 % (3376459)Instruction limit reached!
% 6.50/1.89 % (3376459)------------------------------
% 6.50/1.89 % (3376459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.89 % (3376459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.89 % (3376459)CaDiCaL version: 2.1.3
% 6.50/1.89 % (3376459)Termination reason: Instruction limit
% 6.50/1.89 % (3376459)Termination phase: Saturation
% 6.50/1.89 % (3376459)Time elapsed: 0.031 s
% 6.50/1.89 % (3376459)Peak memory usage: 88 MB
% 6.50/1.89 % (3376459)Instructions burned: 121 (million)
% 6.50/1.89 % (3376456)lrs+10_1_sil=8000:sp=occurrence:random_seed=2545730410:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.50/1.89 % (3376455)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=98424663:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.50/1.89 % (3376453)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=3547564627:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.50/1.89 % (3376454)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1962159395:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.50/1.89 % (3376457)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=640968838:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.50/1.89 % (3376458)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1185012555:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.50/1.89 % (3376457)Refutation not found, incomplete strategy
% 6.50/1.89 % (3376457)------------------------------
% 6.50/1.89 % (3376457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.89 % (3376457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.89 % (3376457)CaDiCaL version: 2.1.3
% 6.50/1.89 % (3376457)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.89 % (3376457)Time elapsed: 0.001 s
% 6.50/1.89 % (3376457)Peak memory usage: 87 MB
% 6.50/1.89 % (3376456)Refutation not found, incomplete strategy
% 6.50/1.89 % (3376456)------------------------------
% 6.50/1.89 % (3376456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.89 % (3376456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.89 % (3376456)CaDiCaL version: 2.1.3
% 6.50/1.89 % (3376456)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.89 % (3376456)Time elapsed: 0.002 s
% 6.50/1.89 % (3376456)Peak memory usage: 87 MB
% 6.50/1.89 % (3376456)Instructions burned: 1 (million)
% 6.50/1.89 % (3376458)Refutation not found, incomplete strategy
% 6.50/1.89 % (3376458)------------------------------
% 6.50/1.89 % (3376458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.89 % (3376458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.89 % (3376458)CaDiCaL version: 2.1.3
% 6.50/1.89 % (3376458)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.89 % (3376458)Time elapsed: 0.002 s
% 6.50/1.89 % (3376458)Peak memory usage: 87 MB
% 6.50/1.89 % (3376458)Instructions burned: 2 (million)
% 6.50/1.89 % (3376461)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=1369444667:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.50/1.89 % (3376461)Refutation not found, incomplete strategy
% 6.50/1.89 % (3376461)------------------------------
% 6.50/1.89 % (3376461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.89 % (3376461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.89 % (3376461)CaDiCaL version: 2.1.3
% 6.50/1.89 % (3376461)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.89 % (3376461)Time elapsed: 0.001 s
% 6.50/1.89 % (3376461)Peak memory usage: 87 MB
% 6.50/1.89 % (3376456)------------------------------
% 6.50/1.89 % (3376456)------------------------------
% 6.50/1.89 % (3376457)------------------------------
% 6.50/1.89 % (3376457)------------------------------
% 6.50/1.89 % (3376458)------------------------------
% 6.50/1.89 % (3376458)------------------------------
% 6.50/1.89 % (3376461)------------------------------
% 6.50/1.89 % (3376461)------------------------------
% 6.50/1.89 % (3376472)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=762942117:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.50/1.89 % (3376472)Refutation not found, incomplete strategy
% 6.50/1.89 % (3376472)------------------------------
% 6.50/1.89 % (3376472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.89 % (3376472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.89 % (3376472)CaDiCaL version: 2.1.3
% 6.50/1.89 % (3376472)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.89 % (3376472)Time elapsed: 0.001 s
% 6.50/1.89 % (3376472)Peak memory usage: 87 MB
% 6.50/1.89 % (3376471)lrs+10_64_to=lpo:sil=8000:random_seed=558740344:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.50/1.89 % (3376470)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=836695416:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.50/1.90 % (3376469)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3505955537: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)
% 6.50/1.90 % (3376470)Refutation not found, incomplete strategy
% 6.50/1.90 % (3376470)------------------------------
% 6.50/1.90 % (3376470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.90 % (3376470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.90 % (3376470)CaDiCaL version: 2.1.3
% 6.50/1.90 % (3376470)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.90 % (3376470)Time elapsed: 0.001 s
% 6.50/1.90 % (3376470)Peak memory usage: 87 MB
% 6.50/1.90 % (3376471)First to succeed.
% 6.50/1.90 % (3376469)Refutation not found, incomplete strategy
% 6.50/1.90 % (3376469)------------------------------
% 6.50/1.90 % (3376469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.90 % (3376469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.90 % (3376471)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3376448"
% 6.50/1.90 % (3376469)CaDiCaL version: 2.1.3
% 6.50/1.90 % (3376469)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.90 % (3376469)Time elapsed: 0.002 s
% 6.50/1.90 % (3376469)Peak memory usage: 87 MB
% 6.50/1.90 % (3376469)Instructions burned: 2 (million)
% 6.50/1.90 % (3376472)------------------------------
% 6.50/1.90 % (3376472)------------------------------
% 6.50/1.90 % (3376454)Refutation not found, incomplete strategy
% 6.50/1.90 % (3376454)------------------------------
% 6.50/1.90 % (3376454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.90 % (3376454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.90 % (3376454)CaDiCaL version: 2.1.3
% 6.50/1.90 % (3376454)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.90 % (3376454)Time elapsed: 0.610 s
% 6.50/1.90 % (3376454)Peak memory usage: 126 MB
% 6.50/1.90 % (3376454)Instructions burned: 905 (million)
% 6.50/1.90 % (3376453)Also succeeded, but the first one will report.
% 6.50/1.90 % (3376455)Refutation not found, incomplete strategy
% 6.50/1.90 % (3376455)------------------------------
% 6.50/1.90 % (3376455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.90 % (3376455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.90 % (3376455)CaDiCaL version: 2.1.3
% 6.50/1.90 % (3376455)Termination reason: Refutation not found, incomplete strategy
% 6.50/1.90 % (3376455)Time elapsed: 0.615 s
% 6.50/1.90 % (3376455)Peak memory usage: 125 MB
% 6.50/1.90 % (3376455)Instructions burned: 911 (million)
% 6.50/1.90 % (3376469)------------------------------
% 6.50/1.90 % (3376469)------------------------------
% 6.50/1.90 % (3376470)------------------------------
% 6.50/1.90 % (3376470)------------------------------
% 6.50/1.90 % SZS status Satisfiable for theBenchmark
% 6.50/1.90 % SZS output start Saturation.
% See solution above
% 6.50/1.90 % SZS output start Definitions and Model Updates.
% 6.50/1.90 % SZS output end Definitions and Model Updates.
% 6.50/1.90 % (3376471)------------------------------
% 6.50/1.90 % (3376471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.90 % (3376471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.90 % (3376471)CaDiCaL version: 2.1.3
% 6.50/1.90 % (3376471)Termination reason: Satisfiable
% 6.50/1.90 % (3376471)Time elapsed: 0.002 s
% 6.50/1.90 % (3376471)Peak memory usage: 87 MB
% 6.50/1.90 % (3376471)Instructions burned: 2 (million)
% 6.50/1.90 % (3376471)------------------------------
% 6.50/1.90 % (3376471)------------------------------
% 6.50/1.90 % (3376448)Success in time 0.849 s
% 6.50/1.90 % Vampire exiting
%------------------------------------------------------------------------------