%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM286-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:12:05 PM UTC 2026
% Result : Satisfiable 5.17s 1.71s
% Output : Saturation 5.17s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(adding_zero,axiom,
equalish(add(X0,n0),X0) ).
cnf(addition,axiom,
equalish(add(X0,successor(X1)),successor(add(X0,X1))) ).
cnf(successor_substitution,axiom,
( equalish(successor(X0),successor(X1))
| ~ equalish(X0,X1) ) ).
cnf(times,axiom,
equalish(multiply(X0,successor(X1)),add(multiply(X0,X1),X0)) ).
cnf(times_zero,axiom,
equalish(multiply(X0,n0),n0) ).
cnf(successor_equality1,axiom,
( ~ equalish(successor(X0),successor(X1))
| equalish(X0,X1) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM286-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n006.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 19:28:10 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 5.17/1.71 % (3266639)Input is clausal, will run a generic CNF schedule.
% 5.17/1.71 % (3266745)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=2278714958:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.17/1.71 % (3266748)lrs+10_1_sil=8000:sp=occurrence:random_seed=2122814127:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.17/1.71 % (3266747)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2348671811:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.17/1.71 % (3266751)dis-21_1_sil=8000:lcm=predicate:random_seed=761395687: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)
% 5.17/1.71 % (3266746)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=466042567:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.17/1.71 % (3266748)Refutation not found, incomplete strategy
% 5.17/1.71 % (3266748)------------------------------
% 5.17/1.71 % (3266748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.71 % (3266748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.71 % (3266748)CaDiCaL version: 2.1.3
% 5.17/1.71 % (3266748)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.71 % (3266748)Time elapsed: 0.0000 s
% 5.17/1.71 % (3266748)Peak memory usage: 86 MB
% 5.17/1.71 % (3266751)Refutation not found, incomplete strategy
% 5.17/1.71 % (3266751)------------------------------
% 5.17/1.71 % (3266751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.71 % (3266751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.71 % (3266751)CaDiCaL version: 2.1.3
% 5.17/1.71 % (3266751)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.71 % (3266751)Time elapsed: 0.001 s
% 5.17/1.71 % (3266751)Peak memory usage: 86 MB
% 5.17/1.71 % (3266749)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2233879401:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.17/1.71 % (3266749)Refutation not found, incomplete strategy
% 5.17/1.71 % (3266749)------------------------------
% 5.17/1.71 % (3266749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.71 % (3266749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.71 % (3266749)CaDiCaL version: 2.1.3
% 5.17/1.71 % (3266749)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.71 % (3266749)Time elapsed: 0.0000 s
% 5.17/1.71 % (3266749)Peak memory usage: 86 MB
% 5.17/1.71 % (3266750)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=925993655:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.17/1.71 % (3266750)Refutation not found, incomplete strategy
% 5.17/1.71 % (3266750)------------------------------
% 5.17/1.71 % (3266750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.71 % (3266750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.71 % (3266750)CaDiCaL version: 2.1.3
% 5.17/1.71 % (3266750)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.71 % (3266750)Time elapsed: 0.001 s
% 5.17/1.71 % (3266750)Peak memory usage: 87 MB
% 5.17/1.71 % (3266748)------------------------------
% 5.17/1.71 % (3266748)------------------------------
% 5.17/1.71 % (3266751)------------------------------
% 5.17/1.71 % (3266751)------------------------------
% 5.17/1.71 % (3266750)------------------------------
% 5.17/1.71 % (3266750)------------------------------
% 5.17/1.71 % (3266749)------------------------------
% 5.17/1.71 % (3266749)------------------------------
% 5.17/1.71 % (3266745)First to succeed.
% 5.17/1.71 % (3266745)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3266639"
% 5.17/1.71 % (3266848)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=215451320:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 5.17/1.71 % (3266849)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2251850639: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)
% 5.17/1.71 % (3266848)Refutation not found, incomplete strategy
% 5.17/1.71 % (3266848)------------------------------
% 5.17/1.71 % (3266848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.71 % (3266849)Refutation not found, incomplete strategy
% 5.17/1.71 % (3266849)------------------------------
% 5.17/1.71 % (3266849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.71 % (3266848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.71 % (3266849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.71 % (3266848)CaDiCaL version: 2.1.3
% 5.17/1.71 % (3266849)CaDiCaL version: 2.1.3
% 5.17/1.71 % (3266848)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.71 % (3266848)Time elapsed: 0.001 s
% 5.17/1.71 % (3266849)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.71 % (3266849)Time elapsed: 0.001 s
% 5.17/1.71 % (3266848)Peak memory usage: 86 MB
% 5.17/1.71 % (3266849)Peak memory usage: 86 MB
% 5.17/1.71 % (3266852)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2864566424:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.17/1.71 % (3266853)lrs+10_64_to=lpo:sil=8000:random_seed=2876778151:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.17/1.71 % (3266852)Refutation not found, incomplete strategy
% 5.17/1.71 % (3266852)------------------------------
% 5.17/1.71 % (3266852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.71 % (3266852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.71 % (3266852)CaDiCaL version: 2.1.3
% 5.17/1.71 % (3266852)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.71 % (3266852)Time elapsed: 0.0000 s
% 5.17/1.71 % (3266852)Peak memory usage: 86 MB
% 5.17/1.71 % (3266853)Also succeeded, but the first one will report.
% 5.17/1.71 % SZS status Satisfiable for theBenchmark
% 5.17/1.71 % SZS output start Saturation.
% See solution above
% 5.17/1.71 % SZS output start Definitions and Model Updates.
% 5.17/1.71 % SZS output end Definitions and Model Updates.
% 5.17/1.71 % (3266745)------------------------------
% 5.17/1.71 % (3266745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.71 % (3266745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.71 % (3266745)CaDiCaL version: 2.1.3
% 5.17/1.71 % (3266745)Termination reason: Satisfiable
% 5.17/1.71 % (3266745)Time elapsed: 0.331 s
% 5.17/1.71 % (3266745)Peak memory usage: 127 MB
% 5.17/1.71 % (3266745)Instructions burned: 857 (million)
% 5.17/1.71 % (3266745)------------------------------
% 5.17/1.71 % (3266745)------------------------------
% 5.17/1.71 % (3266639)Success in time 0.636 s
% 5.17/1.71 % Vampire exiting
%------------------------------------------------------------------------------