%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN351-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:50:20 PM UTC 2026
% Result : Satisfiable 0.19s 1.30s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
f(a,X0,a,z(X1,X0)) ).
cnf(clause2,negated_conjecture,
( f(a,X0,a,X1)
| ~ f(X0,b,X0,X1) ) ).
cnf(u10,negated_conjecture,
( ~ f(z(a,X0),b,z(a,X0),z(a,X0))
| ~ f(a,X0,a,X0)
| ~ f(a,a,a,X0) ) ).
cnf(clause5,negated_conjecture,
( f(a,X1,X0,X1)
| f(a,X0,a,X1) ) ).
cnf(clause6,negated_conjecture,
( f(a,z(X1,X0),X1,z(X1,X0))
| f(a,X0,X1,X0) ) ).
cnf(clause7,negated_conjecture,
( ~ f(a,z(X0,X1),X0,z(X0,X1))
| ~ f(a,X0,a,X1)
| ~ f(a,X1,X0,X1) ) ).
cnf(u11,negated_conjecture,
( f(a,X0,a,z(X0,X1))
| ~ f(a,X1,X0,X1)
| ~ f(a,X0,a,X1) ) ).
cnf(clause4,negated_conjecture,
( f(a,z(X0,X1),X0,z(X0,X1))
| f(a,X0,a,X1) ) ).
cnf(clause3,negated_conjecture,
( f(X0,b,X0,X1)
| ~ f(a,X0,a,X1) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN351-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:47:15 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 0.19/1.30 % (3176699)Input is clausal, will run a generic CNF schedule.
% 0.19/1.30 % (3176708)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3339624586:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.30 % (3176708)Refutation not found, incomplete strategy
% 0.19/1.30 % (3176708)------------------------------
% 0.19/1.30 % (3176708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3176708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3176708)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3176708)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.30 % (3176708)Time elapsed: 0.001 s
% 0.19/1.30 % (3176708)Peak memory usage: 87 MB
% 0.19/1.30 % (3176704)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=3871732934:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.30 % (3176706)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3057799717:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.30 % (3176705)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2466144909:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.30 % (3176709)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3923726941:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.30 % (3176707)lrs+10_1_sil=8000:sp=occurrence:random_seed=3442468973:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.30 % (3176710)dis-21_1_sil=8000:lcm=predicate:random_seed=2294653844: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)
% 0.19/1.30 % (3176709)Refutation not found, incomplete strategy
% 0.19/1.30 % (3176709)------------------------------
% 0.19/1.30 % (3176709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3176710)First to succeed.
% 0.19/1.30 % (3176709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3176709)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3176709)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.30 % (3176709)Time elapsed: 0.001 s
% 0.19/1.30 % (3176709)Peak memory usage: 87 MB
% 0.19/1.30 % (3176710)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3176699"
% 0.19/1.30 % (3176707)Also succeeded, but the first one will report.
% 0.19/1.30 % (3176708)------------------------------
% 0.19/1.30 % (3176708)------------------------------
% 0.19/1.30 % (3176718)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=3627452321:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.19/1.30 % (3176718)Refutation not found, incomplete strategy
% 0.19/1.30 % (3176718)------------------------------
% 0.19/1.30 % (3176718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3176718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3176718)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3176718)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.30 % (3176718)Time elapsed: 0.001 s
% 0.19/1.30 % (3176718)Peak memory usage: 87 MB
% 0.19/1.30 % (3176718)Instructions burned: 1 (million)
% 0.19/1.30 % (3176709)------------------------------
% 0.19/1.30 % (3176709)------------------------------
% 0.19/1.30 % SZS status Satisfiable for theBenchmark
% 0.19/1.30 % SZS output start Saturation.
% See solution above
% 0.19/1.30 % SZS output start Definitions and Model Updates.
% 0.19/1.30 % SZS output end Definitions and Model Updates.
% 0.19/1.30 % (3176710)------------------------------
% 0.19/1.30 % (3176710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3176710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3176710)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3176710)Termination reason: Satisfiable
% 0.19/1.30 % (3176710)Time elapsed: 0.002 s
% 0.19/1.30 % (3176710)Peak memory usage: 87 MB
% 0.19/1.30 % (3176710)------------------------------
% 0.19/1.30 % (3176710)------------------------------
% 0.19/1.30 % (3176699)Success in time 0.445 s
% 0.19/1.30 % Vampire exiting
%------------------------------------------------------------------------------