%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN541-1 : 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 : n012.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 02:00:54 PM UTC 2026
% Result : Satisfiable 2.09s 0.68s
% Output : Saturation 2.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u148,negated_conjecture,
~ c2_0 ).
cnf(u159,negated_conjecture,
ndr1_0 ).
cnf(u163,negated_conjecture,
( ~ c2_2(X0,X1)
| c3_1(X0)
| c4_2(X0,X1)
| ~ c2_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1) ) ).
cnf(u168,negated_conjecture,
~ c4_0 ).
cnf(u182,negated_conjecture,
( ~ c1_2(X0,X1)
| c5_2(X0,a752)
| c3_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1) ) ).
cnf(u185,negated_conjecture,
ssSkC4 ).
cnf(u190,negated_conjecture,
( ~ c1_2(X0,X1)
| c3_2(X0,a752)
| c3_2(X0,X2)
| ~ c5_2(X0,X2)
| ~ c4_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1) ) ).
cnf(u203,negated_conjecture,
~ c3_0 ).
cnf(u225,negated_conjecture,
( ~ c1_2(X0,X1)
| c1_2(X0,a746)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1) ) ).
cnf(u228,negated_conjecture,
ssSkC3 ).
cnf(u232,negated_conjecture,
ssSkC2 ).
cnf(u237,negated_conjecture,
( ~ c1_2(X0,X1)
| c5_2(X0,a746)
| ~ c5_1(X0)
| ~ ndr1_1(X0)
| ~ c5_2(X0,X1)
| ~ c3_2(X0,X1) ) ).
cnf(u262,negated_conjecture,
c1_0 ).
cnf(u274,negated_conjecture,
( ~ c5_2(X0,a754)
| c1_1(X0)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u281,negated_conjecture,
( ~ c1_2(X0,X1)
| c5_1(X0)
| c2_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u289,negated_conjecture,
( ~ c3_2(X0,X1)
| c3_1(X0)
| c4_1(X0)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u293,negated_conjecture,
( ~ c4_2(X0,X1)
| c1_1(X0)
| c3_2(X0,a754)
| c5_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u305,negated_conjecture,
~ ssSkC5 ).
cnf(u309,negated_conjecture,
( ~ c2_2(X0,a758)
| c1_1(X0)
| c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u314,negated_conjecture,
ssSkC6 ).
cnf(u325,negated_conjecture,
~ c5_0 ).
cnf(u344,negated_conjecture,
ssSkC0 ).
cnf(u357,negated_conjecture,
( ~ c4_2(X0,X1)
| c1_1(X0)
| c5_2(X0,a758)
| c1_2(X0,X1)
| ~ ndr1_1(X0) ) ).
cnf(u409,negated_conjecture,
( ~ c1_1(X0)
| c3_1(X0)
| c4_1(X0) ) ).
cnf(u465,negated_conjecture,
( ~ c5_1(X0)
| c2_1(X0) ) ).
cnf(u476,negated_conjecture,
ssSkC7 ).
cnf(u493,negated_conjecture,
( ~ c5_2(X0,a735)
| c5_1(X0)
| ~ c4_1(X0) ) ).
cnf(u497,negated_conjecture,
~ ssSkC1 ).
cnf(u524,negated_conjecture,
( c4_2(X0,a735)
| c5_1(X0)
| ~ c4_1(X0) ) ).
cnf(u528,negated_conjecture,
( c1_2(X0,a735)
| c5_1(X0)
| ~ c4_1(X0) ) ).
cnf(u551,negated_conjecture,
~ c3_2(a736,a737) ).
cnf(u556,negated_conjecture,
~ c4_2(a736,a737) ).
cnf(u606,negated_conjecture,
~ c3_1(a736) ).
cnf(u611,negated_conjecture,
c5_2(a736,a737) ).
cnf(u677,negated_conjecture,
c4_1(a736) ).
cnf(u682,negated_conjecture,
ndr1_1(a736) ).
cnf(u738,negated_conjecture,
~ c5_1(a734) ).
cnf(u824,negated_conjecture,
c4_1(a734) ).
cnf(clause3,negated_conjecture,
c4_1(a731) ).
cnf(u901,negated_conjecture,
( c3_2(X0,a754)
| c1_1(X0)
| c3_2(X0,a735)
| ~ ndr1_1(X0)
| c5_1(X0)
| ~ c4_1(X0) ) ).
cnf(u899,negated_conjecture,
( ~ c5_2(X0,a755)
| ~ c5_1(X0)
| c5_2(X0,a746)
| c4_1(X0)
| c3_1(X0)
| c2_2(X0,a755)
| ssSkP0(X0) ) ).
cnf(u886,negated_conjecture,
( c1_2(X0,a755)
| c4_1(X0)
| c3_1(X0)
| c2_2(X0,a755)
| ssSkP0(X0) ) ).
cnf(u906,negated_conjecture,
( ~ c3_2(X0,a735)
| c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c5_2(X0,a752)
| c5_1(X0)
| ~ c4_1(X0) ) ).
cnf(clause2,negated_conjecture,
c2_1(a731) ).
cnf(clause12,negated_conjecture,
( ssSkP0(X0)
| ndr1_1(X0) ) ).
cnf(u893,negated_conjecture,
( ~ c5_2(X0,a755)
| ~ c5_1(X0)
| c1_2(X0,a746)
| c4_1(X0)
| c3_1(X0)
| c2_2(X0,a755)
| ssSkP0(X0) ) ).
cnf(u889,negated_conjecture,
( c2_2(X0,a755)
| c3_1(X0)
| c4_1(X0)
| ssSkP0(X0)
| c5_1(X0)
| c5_2(X0,a755) ) ).
cnf(u881,negated_conjecture,
( c2_2(X0,a735)
| c5_1(X0)
| ~ ndr1_1(X0)
| ~ c4_1(X0) ) ).
cnf(clause29,negated_conjecture,
( c3_2(X0,a755)
| ssSkP0(X0) ) ).
cnf(u909,negated_conjecture,
( ~ c3_2(X0,a735)
| c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c3_2(X0,a752)
| c5_1(X0)
| ~ c4_1(X0) ) ).
cnf(clause54,negated_conjecture,
( ~ c4_2(X0,a755)
| ssSkP0(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN541-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 16:26:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.12 Running first-order theorem proving
% 0.09/0.12 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
% 2.09/0.68 % (3498509)Input is clausal, will run a generic CNF schedule.
% 2.09/0.68 % (3498516)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4192903764:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.09/0.68 % (3498518)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=12174277:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.09/0.68 % (3498515)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4237293765:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.09/0.68 % (3498514)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=4217295365:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.09/0.68 % (3498517)lrs+10_1_sil=8000:sp=occurrence:random_seed=2665857708:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.09/0.68 % (3498520)dis-21_1_sil=8000:lcm=predicate:random_seed=931291325: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)
% 2.09/0.68 % (3498519)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3293762693:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.09/0.68 % (3498517)First to succeed.
% 2.09/0.68 % (3498517)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3498509"
% 2.09/0.68 % (3498519)Refutation not found, incomplete strategy
% 2.09/0.68 % (3498519)------------------------------
% 2.09/0.68 % (3498519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.09/0.68 % (3498519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.68 % (3498519)CaDiCaL version: 2.1.3
% 2.09/0.68 % (3498519)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.68 % (3498519)Time elapsed: 0.003 s
% 2.09/0.68 % (3498519)Peak memory usage: 88 MB
% 2.09/0.68 % (3498519)Instructions burned: 7 (million)
% 2.09/0.68 % (3498518)Refutation not found, incomplete strategy
% 2.09/0.68 % (3498518)------------------------------
% 2.09/0.68 % (3498518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.09/0.68 % (3498518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.68 % (3498518)CaDiCaL version: 2.1.3
% 2.09/0.68 % (3498518)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.68 % (3498518)Time elapsed: 0.020 s
% 2.09/0.68 % (3498518)Peak memory usage: 88 MB
% 2.09/0.68 % (3498518)Instructions burned: 72 (million)
% 2.09/0.68 % (3498520)Instruction limit reached!
% 2.09/0.68 % (3498520)------------------------------
% 2.09/0.68 % (3498520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.09/0.68 % (3498520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.68 % (3498520)CaDiCaL version: 2.1.3
% 2.09/0.68 % (3498520)Termination reason: Instruction limit
% 2.09/0.68 % (3498520)Termination phase: Saturation
% 2.09/0.68 % (3498520)Time elapsed: 0.033 s
% 2.09/0.68 % (3498520)Peak memory usage: 89 MB
% 2.09/0.68 % (3498520)Instructions burned: 120 (million)
% 2.09/0.68 % (3498528)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=3577876355:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.09/0.68 % (3498528)Refutation not found, incomplete strategy
% 2.09/0.68 % (3498528)------------------------------
% 2.09/0.68 % (3498528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.09/0.68 % (3498528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.68 % (3498528)CaDiCaL version: 2.1.3
% 2.09/0.68 % (3498528)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.68 % (3498528)Time elapsed: 0.003 s
% 2.09/0.68 % (3498528)Peak memory usage: 88 MB
% 2.09/0.68 % (3498528)Instructions burned: 7 (million)
% 2.09/0.68 % (3498519)------------------------------
% 2.09/0.68 % (3498519)------------------------------
% 2.09/0.68 % SZS status Satisfiable for theBenchmark
% 2.09/0.68 % SZS output start Saturation.
% See solution above
% 2.09/0.68 % SZS output start Definitions and Model Updates.
% 2.09/0.68 % SZS output end Definitions and Model Updates.
% 2.09/0.68 % (3498517)------------------------------
% 2.09/0.68 % (3498517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.09/0.68 % (3498517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.68 % (3498517)CaDiCaL version: 2.1.3
% 2.09/0.68 % (3498517)Termination reason: Satisfiable
% 2.09/0.68 % (3498517)Time elapsed: 0.003 s
% 2.09/0.68 % (3498517)Peak memory usage: 88 MB
% 2.09/0.68 % (3498517)Instructions burned: 7 (million)
% 2.09/0.68 % (3498517)------------------------------
% 2.09/0.68 % (3498517)------------------------------
% 2.09/0.68 % (3498509)Success in time 0.27 s
% 2.09/0.68 % Vampire exiting
%------------------------------------------------------------------------------