%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG302-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 09:19:46 AM UTC 2026
% Result : Satisfiable 0.28s 2.30s
% Output : Saturation 0.28s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u19,negated_conjecture,
tptp1 != tptp0 ).
cnf(u12,axiom,
product(sF3(X0),X2) = sF4(X0,X2) ).
cnf(u22,axiom,
sF0(sF1(X0)) = sF2(X0,sF1(X0)) ).
cnf(u15,negated_conjecture,
sF5(X0,X1,X2) = X1 ).
cnf(u6,axiom,
product(sF0(X0),X0) = sF1(X0) ).
cnf(u4,axiom,
product(X0,X0) = sF0(X0) ).
cnf(u27,negated_conjecture,
sF1(X0) = product(sF0(sF1(X0)),sF0(sF3(X0))) ).
cnf(u24,axiom,
sF0(sF3(X0)) = sF4(X0,sF3(X0)) ).
cnf(u26,negated_conjecture,
sF1(X0) = product(sF0(sF1(X0)),sF4(X0,X1)) ).
cnf(u8,axiom,
product(sF1(X0),X1) = sF2(X0,X1) ).
cnf(u10,axiom,
product(sF0(X0),sF1(X0)) = sF3(X0) ).
cnf(u28,negated_conjecture,
product(sF2(X0,X1),sF0(sF3(X0))) = X1 ).
cnf(u21,negated_conjecture,
product(sF2(X0,X1),sF4(X0,X2)) = X1 ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG302-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n002.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 20:05:52 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.30 Running first-order theorem proving
% 0.26/0.30 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
% 0.28/2.30 % (697421)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.28/2.30 % (697435)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1226996016:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 0.28/2.30 % (697435)Refutation not found, incomplete strategy
% 0.28/2.30 % (697435)------------------------------
% 0.28/2.30 % (697435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/2.30 % (697435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/2.30 % (697435)CaDiCaL version: 2.1.3
% 0.28/2.30 % (697435)Termination reason: Refutation not found, incomplete strategy
% 0.28/2.30 % (697435)Time elapsed: 0.001 s
% 0.28/2.30 % (697435)Peak memory usage: 87 MB
% 0.28/2.30 % (697432)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1697523292:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 0.28/2.30 % (697437)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3947136834:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 0.28/2.30 % (697434)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3391844823:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 0.28/2.30 % (697436)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4246743033:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 0.28/2.30 % (697438)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1594364527:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 0.28/2.30 % (697433)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=22620731:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 0.28/2.30 % (697438)Refutation not found, incomplete strategy
% 0.28/2.30 % (697438)------------------------------
% 0.28/2.30 % (697438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/2.30 % (697438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/2.30 % (697438)CaDiCaL version: 2.1.3
% 0.28/2.30 % (697438)Termination reason: Refutation not found, incomplete strategy
% 0.28/2.30 % (697438)Time elapsed: 0.001 s
% 0.28/2.30 % (697438)Peak memory usage: 86 MB
% 0.28/2.30 % (697437)Refutation not found, incomplete strategy
% 0.28/2.30 % (697437)------------------------------
% 0.28/2.30 % (697437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/2.30 % (697437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/2.30 % (697437)CaDiCaL version: 2.1.3
% 0.28/2.30 % (697437)Termination reason: Refutation not found, incomplete strategy
% 0.28/2.30 % (697437)Time elapsed: 0.002 s
% 0.28/2.30 % (697437)Peak memory usage: 87 MB
% 0.28/2.30 % (697436)Refutation not found, incomplete strategy
% 0.28/2.30 % (697436)------------------------------
% 0.28/2.30 % (697436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/2.30 % (697436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/2.30 % (697436)CaDiCaL version: 2.1.3
% 0.28/2.30 % (697436)Termination reason: Refutation not found, incomplete strategy
% 0.28/2.30 % (697436)Time elapsed: 0.002 s
% 0.28/2.30 % (697436)Peak memory usage: 87 MB
% 0.28/2.30 % (697436)Instructions burned: 1 (million)
% 0.28/2.30 % (697435)------------------------------
% 0.28/2.30 % (697435)------------------------------
% 0.28/2.30 % (697436)------------------------------
% 0.28/2.30 % (697436)------------------------------
% 0.28/2.30 % (697437)------------------------------
% 0.28/2.30 % (697437)------------------------------
% 0.28/2.30 % (697438)------------------------------
% 0.28/2.30 % (697438)------------------------------
% 0.28/2.30 % (697450)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1979207137:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 0.28/2.30 % (697453)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2624252318:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 0.28/2.30 % (697452)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3075354980:i=215:ep=RSTC_2993 on theBenchmark for (2993ds/215Mi)
% 0.28/2.30 % (697451)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2508224751:i=4948:ss=axioms:sgt=16_2993 on theBenchmark for (2993ds/4948Mi)
% 0.28/2.30 % (697452)Refutation not found, incomplete strategy
% 0.28/2.30 % (697452)------------------------------
% 0.28/2.30 % (697452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/2.30 % (697452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/2.30 % (697452)CaDiCaL version: 2.1.3
% 0.28/2.30 % (697452)Termination reason: Refutation not found, incomplete strategy
% 0.28/2.30 % (697452)Time elapsed: 0.001 s
% 0.28/2.30 % (697452)Peak memory usage: 87 MB
% 0.28/2.30 % (697453)First to succeed.
% 0.28/2.30 % (697453)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-697421"
% 0.28/2.30 % (697432)Refutation not found, incomplete strategy
% 0.28/2.30 % (697432)------------------------------
% 0.28/2.30 % (697432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/2.30 % (697432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/2.30 % (697432)CaDiCaL version: 2.1.3
% 0.28/2.30 % (697432)Termination reason: Refutation not found, incomplete strategy
% 0.28/2.30 % (697432)Time elapsed: 0.865 s
% 0.28/2.30 % (697432)Peak memory usage: 127 MB
% 0.28/2.30 % (697432)Instructions burned: 888 (million)
% 0.28/2.30 % (697433)Also succeeded, but the first one will report.
% 0.28/2.30 % (697434)Also succeeded, but the first one will report.
% 0.28/2.30 % (697450)Refutation not found, incomplete strategy
% 0.28/2.30 % (697450)------------------------------
% 0.28/2.30 % (697450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/2.30 % (697450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/2.30 % (697450)CaDiCaL version: 2.1.3
% 0.28/2.30 % (697450)Termination reason: Refutation not found, incomplete strategy
% 0.28/2.30 % (697450)Time elapsed: 0.505 s
% 0.28/2.30 % (697450)Peak memory usage: 127 MB
% 0.28/2.30 % (697450)Instructions burned: 851 (million)
% 0.28/2.30 % (697452)------------------------------
% 0.28/2.30 % (697452)------------------------------
% 0.28/2.30 % SZS status Satisfiable for theBenchmark
% 0.28/2.30 % SZS output start Saturation.
% See solution above
% 0.28/2.30 % SZS output start Definitions and Model Updates.
% 0.28/2.30 % SZS output end Definitions and Model Updates.
% 0.28/2.30 % (697453)------------------------------
% 0.28/2.30 % (697453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/2.30 % (697453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/2.30 % (697453)CaDiCaL version: 2.1.3
% 0.28/2.30 % (697453)Termination reason: Satisfiable
% 0.28/2.30 % (697453)Time elapsed: 0.004 s
% 0.28/2.30 % (697453)Peak memory usage: 88 MB
% 0.28/2.30 % (697453)Instructions burned: 1 (million)
% 0.28/2.30 % (697453)------------------------------
% 0.28/2.30 % (697453)------------------------------
% 0.28/2.30 % (697421)Success in time 1.348 s
% 0.28/2.30 % Vampire exiting
%------------------------------------------------------------------------------