%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO640-10 : TPTP v9.3.1. Released v7.3.0.
% 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 02:28:29 PM UTC 2026
% Result : Satisfiable 6.28s 1.68s
% Output : Saturation 6.28s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u14,axiom,
true = f(sK3_itmul0_Y1,sK2_itmul0_Y2,sK4_itmul0_Y4) ).
cnf(u19,axiom,
true = f(sK2_itmul0_Y2,sK3_itmul0_Y1,sK4_itmul0_Y4) ).
cnf(u24,axiom,
f(sK3_itmul0_Y1,sK1_itmul0_Y3,sK4_itmul0_Y4) != true ).
cnf(u42,axiom,
true = ifeq(f(sK3_itmul0_Y1,sK3_itmul0_Y1,sK4_itmul0_Y4),true,true,true) ).
cnf(u48,axiom,
true = f(sK2_itmul0_Y2,sK2_itmul0_Y2,sK4_itmul0_Y4) ).
cnf(u66,axiom,
true = f(sK3_itmul0_Y1,sK3_itmul0_Y1,sK4_itmul0_Y4) ).
cnf(u79,axiom,
true = ifeq(f(sK3_itmul0_Y1,sK1_itmul0_Y3,sK4_itmul0_Y4),true,true,true) ).
cnf(u113,axiom,
true = ifeq(f(sK1_itmul0_Y3,sK2_itmul0_Y2,sK4_itmul0_Y4),true,true,true) ).
cnf(u35,axiom,
true = ifeq(f(X0,sK2_itmul0_Y2,sK4_itmul0_Y4),true,f(X0,sK3_itmul0_Y1,sK4_itmul0_Y4),true) ).
cnf(u71,axiom,
true = ifeq(f(X0,sK3_itmul0_Y1,sK4_itmul0_Y4),true,ifeq(f(sK3_itmul0_Y1,X0,sK4_itmul0_Y4),true,true,true),true) ).
cnf(u30,axiom,
true = ifeq(f(X0,sK2_itmul0_Y2,sK4_itmul0_Y4),true,ifeq(f(sK3_itmul0_Y1,X0,sK4_itmul0_Y4),true,true,true),true) ).
cnf(u4,axiom,
true = ifeq(f(sK3_itmul0_Y1,sK1_itmul0_Y3,X0),true,f(sK3_itmul0_Y1,sK3_itmul0_Y1,X0),true) ).
cnf(u75,axiom,
true = ifeq(f(sK3_itmul0_Y1,X0,sK4_itmul0_Y4),true,f(sK3_itmul0_Y1,X0,sK4_itmul0_Y4),true) ).
cnf(u55,axiom,
true = ifeq(f(sK2_itmul0_Y2,X0,sK4_itmul0_Y4),true,f(sK2_itmul0_Y2,X0,sK4_itmul0_Y4),true) ).
cnf(u31,axiom,
true = ifeq(f(X0,sK3_itmul0_Y1,sK4_itmul0_Y4),true,ifeq(f(sK2_itmul0_Y2,X0,sK4_itmul0_Y4),true,true,true),true) ).
cnf(u33,axiom,
true = ifeq(f(sK3_itmul0_Y1,X0,sK4_itmul0_Y4),true,f(sK2_itmul0_Y2,X0,sK4_itmul0_Y4),true) ).
cnf(u142,axiom,
true = ifeq(f(X0,X0,sK4_itmul0_Y4),true,true,true) ).
cnf(u34,axiom,
true = ifeq(f(sK2_itmul0_Y2,X0,sK4_itmul0_Y4),true,f(sK3_itmul0_Y1,X0,sK4_itmul0_Y4),true) ).
cnf(u6,axiom,
true = ifeq(f(X0,X1,X2),true,ifeq(f(X3,X0,X2),true,f(X3,X1,X2),true),true) ).
cnf(u32,axiom,
true = ifeq(f(sK1_itmul0_Y3,sK3_itmul0_Y1,X0),true,true,true) ).
cnf(u74,axiom,
true = ifeq(f(X0,sK3_itmul0_Y1,sK4_itmul0_Y4),true,f(X0,sK3_itmul0_Y1,sK4_itmul0_Y4),true) ).
cnf(u51,axiom,
true = ifeq(f(X0,sK2_itmul0_Y2,sK4_itmul0_Y4),true,ifeq(f(sK2_itmul0_Y2,X0,sK4_itmul0_Y4),true,true,true),true) ).
cnf(u54,axiom,
true = ifeq(f(X0,sK2_itmul0_Y2,sK4_itmul0_Y4),true,f(X0,sK2_itmul0_Y2,sK4_itmul0_Y4),true) ).
cnf(ifeq_axiom,axiom,
ifeq(X0,X0,X1,X2) = X1 ).
cnf(u36,axiom,
true = ifeq(f(X0,sK3_itmul0_Y1,sK4_itmul0_Y4),true,f(X0,sK2_itmul0_Y2,sK4_itmul0_Y4),true) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO640-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n009.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 18:00:00 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 6.28/1.68 % (3299658)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.28/1.68 % (3299667)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1351795400:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.28/1.68 % (3299667)Refutation not found, incomplete strategy
% 6.28/1.68 % (3299667)------------------------------
% 6.28/1.68 % (3299667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/1.68 % (3299667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/1.68 % (3299667)CaDiCaL version: 2.1.3
% 6.28/1.68 % (3299667)Termination reason: Refutation not found, incomplete strategy
% 6.28/1.68 % (3299667)Time elapsed: 0.004 s
% 6.28/1.68 % (3299667)Peak memory usage: 88 MB
% 6.28/1.68 % (3299667)Instructions burned: 10 (million)
% 6.28/1.68 % (3299669)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3643612830:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.28/1.68 % (3299668)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2710868334:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.28/1.68 % (3299665)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4191952949:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.28/1.68 % (3299666)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4145710656:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.28/1.68 % (3299664)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=2901317810:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.28/1.68 % (3299663)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=866925642:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.28/1.68 % (3299669)Refutation not found, incomplete strategy
% 6.28/1.68 % (3299669)------------------------------
% 6.28/1.68 % (3299669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/1.68 % (3299669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/1.68 % (3299669)CaDiCaL version: 2.1.3
% 6.28/1.68 % (3299669)Termination reason: Refutation not found, incomplete strategy
% 6.28/1.68 % (3299669)Time elapsed: 0.0000 s
% 6.28/1.68 % (3299669)Peak memory usage: 86 MB
% 6.28/1.68 % (3299666)Refutation not found, incomplete strategy
% 6.28/1.68 % (3299666)------------------------------
% 6.28/1.68 % (3299666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/1.68 % (3299666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/1.68 % (3299666)CaDiCaL version: 2.1.3
% 6.28/1.68 % (3299666)Termination reason: Refutation not found, incomplete strategy
% 6.28/1.68 % (3299666)Time elapsed: 0.007 s
% 6.28/1.68 % (3299666)Peak memory usage: 87 MB
% 6.28/1.68 % (3299666)Instructions burned: 10 (million)
% 6.28/1.68 % (3299668)Refutation not found, incomplete strategy
% 6.28/1.68 % (3299668)------------------------------
% 6.28/1.68 % (3299668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/1.68 % (3299668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/1.68 % (3299668)CaDiCaL version: 2.1.3
% 6.28/1.68 % (3299668)Termination reason: Refutation not found, incomplete strategy
% 6.28/1.68 % (3299668)Time elapsed: 0.008 s
% 6.28/1.68 % (3299668)Peak memory usage: 88 MB
% 6.28/1.68 % (3299668)Instructions burned: 11 (million)
% 6.28/1.68 % (3299667)------------------------------
% 6.28/1.68 % (3299667)------------------------------
% 6.28/1.68 % (3299677)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3711083884:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 6.28/1.68 % (3299669)------------------------------
% 6.28/1.68 % (3299669)------------------------------
% 6.28/1.68 % (3299666)------------------------------
% 6.28/1.68 % (3299666)------------------------------
% 6.28/1.68 % (3299668)------------------------------
% 6.28/1.68 % (3299668)------------------------------
% 6.28/1.68 % (3299679)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3727952678:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 6.28/1.68 % (3299680)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=643610929:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 6.28/1.68 % (3299681)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=937423953:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 6.28/1.68 % (3299680)Refutation not found, incomplete strategy
% 6.28/1.68 % (3299680)------------------------------
% 6.28/1.68 % (3299680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/1.68 % (3299680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/1.68 % (3299680)CaDiCaL version: 2.1.3
% 6.28/1.68 % (3299680)Termination reason: Refutation not found, incomplete strategy
% 6.28/1.68 % (3299680)Time elapsed: 0.001 s
% 6.28/1.68 % (3299680)Peak memory usage: 87 MB
% 6.28/1.68 % (3299681)First to succeed.
% 6.28/1.68 % (3299681)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3299658"
% 6.28/1.68 % (3299663)Refutation not found, incomplete strategy
% 6.28/1.68 % (3299663)------------------------------
% 6.28/1.68 % (3299663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/1.68 % (3299663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/1.68 % (3299663)CaDiCaL version: 2.1.3
% 6.28/1.68 % (3299663)Termination reason: Refutation not found, incomplete strategy
% 6.28/1.68 % (3299663)Time elapsed: 0.571 s
% 6.28/1.68 % (3299663)Peak memory usage: 127 MB
% 6.28/1.68 % (3299663)Instructions burned: 913 (million)
% 6.28/1.68 % (3299677)Refutation not found, incomplete strategy
% 6.28/1.68 % (3299677)------------------------------
% 6.28/1.68 % (3299677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/1.68 % (3299677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/1.68 % (3299677)CaDiCaL version: 2.1.3
% 6.28/1.68 % (3299677)Termination reason: Refutation not found, incomplete strategy
% 6.28/1.68 % (3299677)Time elapsed: 0.378 s
% 6.28/1.68 % (3299677)Peak memory usage: 128 MB
% 6.28/1.68 % (3299677)Instructions burned: 916 (million)
% 6.28/1.68 % (3299664)Also succeeded, but the first one will report.
% 6.28/1.68 % (3299665)Also succeeded, but the first one will report.
% 6.28/1.68 % (3299680)------------------------------
% 6.28/1.68 % (3299680)------------------------------
% 6.28/1.68 % SZS status Satisfiable for theBenchmark
% 6.28/1.68 % SZS output start Saturation.
% See solution above
% 6.28/1.68 % SZS output start Definitions and Model Updates.
% 6.28/1.68 % SZS output end Definitions and Model Updates.
% 6.28/1.68 % (3299681)------------------------------
% 6.28/1.68 % (3299681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/1.68 % (3299681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/1.68 % (3299681)CaDiCaL version: 2.1.3
% 6.28/1.68 % (3299681)Termination reason: Satisfiable
% 6.28/1.68 % (3299681)Time elapsed: 0.005 s
% 6.28/1.68 % (3299681)Peak memory usage: 88 MB
% 6.28/1.68 % (3299681)Instructions burned: 7 (million)
% 6.28/1.68 % (3299681)------------------------------
% 6.28/1.68 % (3299681)------------------------------
% 6.28/1.68 % (3299658)Success in time 0.806 s
% 6.28/1.68 % Vampire exiting
%------------------------------------------------------------------------------