%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX205-1 : TPTP v9.3.1. Released v9.3.0.
% 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 01:46:09 PM UTC 2026
% Result : Satisfiable 6.20s 1.72s
% Output : Saturation 6.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u20,negated_conjecture,
btrue != eq2(impl(eq(s(X0),X0),eq2(btrue,bfalse)),bfalse) ).
cnf(u13,axiom,
bfalse = eq(s(X0),z) ).
cnf(u25,negated_conjecture,
btrue != eq2(impl(eq(s(X0),X0),bfalse),bfalse) ).
cnf(u15,axiom,
btrue = eq(X0,X0) ).
cnf(u17,axiom,
btrue = eq2(X0,X0) ).
cnf(u27,negated_conjecture,
btrue != bfalse ).
cnf(axiom_005,axiom,
eq(s(X0),s(X1)) = eq(X0,X1) ).
cnf(u6,axiom,
bfalse = eq2(bfalse,btrue) ).
cnf(u8,axiom,
bfalse = eq2(btrue,bfalse) ).
cnf(axiom,axiom,
impl(btrue,X0) = X0 ).
cnf(u11,axiom,
bfalse = eq(z,s(X0)) ).
cnf(u3,axiom,
btrue = impl(bfalse,X0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX205-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n002.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 15:12:36 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 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
% 6.20/1.72 % (431848)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.20/1.72 % (431873)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=2134588657:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.20/1.72 % (431872)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=1894748891:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.20/1.72 % (431874)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2473087102:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.20/1.72 % (431877)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3692060782:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.20/1.72 % (431877)Refutation not found, incomplete strategy
% 6.20/1.72 % (431877)------------------------------
% 6.20/1.72 % (431877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.72 % (431877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.72 % (431877)CaDiCaL version: 2.1.3
% 6.20/1.72 % (431877)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.72 % (431877)Time elapsed: 0.011 s
% 6.20/1.72 % (431877)Peak memory usage: 88 MB
% 6.20/1.72 % (431877)Instructions burned: 17 (million)
% 6.20/1.72 % (431875)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2673324715:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.20/1.72 % (431878)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1065298420:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.20/1.72 % (431878)Refutation not found, incomplete strategy
% 6.20/1.72 % (431878)------------------------------
% 6.20/1.72 % (431878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.72 % (431878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.72 % (431878)CaDiCaL version: 2.1.3
% 6.20/1.72 % (431878)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.72 % (431878)Time elapsed: 0.001 s
% 6.20/1.72 % (431878)Peak memory usage: 87 MB
% 6.20/1.72 % (431878)Instructions burned: 1 (million)
% 6.20/1.72 % (431876)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=32565151:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.20/1.72 % (431876)Refutation not found, incomplete strategy
% 6.20/1.72 % (431876)------------------------------
% 6.20/1.72 % (431876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.72 % (431876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.72 % (431876)CaDiCaL version: 2.1.3
% 6.20/1.72 % (431876)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.72 % (431876)Time elapsed: 0.002 s
% 6.20/1.72 % (431876)Peak memory usage: 88 MB
% 6.20/1.72 % (431876)Instructions burned: 2 (million)
% 6.20/1.72 % (431875)Refutation not found, incomplete strategy
% 6.20/1.72 % (431875)------------------------------
% 6.20/1.72 % (431875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.72 % (431875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.72 % (431875)CaDiCaL version: 2.1.3
% 6.20/1.72 % (431875)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.72 % (431875)Time elapsed: 0.025 s
% 6.20/1.72 % (431875)Peak memory usage: 87 MB
% 6.20/1.72 % (431875)Instructions burned: 45 (million)
% 6.20/1.72 % (431877)------------------------------
% 6.20/1.72 % (431877)------------------------------
% 6.20/1.72 % (431878)------------------------------
% 6.20/1.72 % (431878)------------------------------
% 6.20/1.72 % (431876)------------------------------
% 6.20/1.72 % (431876)------------------------------
% 6.20/1.72 % (431875)------------------------------
% 6.20/1.72 % (431875)------------------------------
% 6.20/1.72 % (431873)First to succeed.
% 6.20/1.72 % (431873)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-431848"
% 6.20/1.72 % (431887)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=840031646:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 6.20/1.72 % (431889)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2402494127:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 6.20/1.72 % (431888)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1690810325:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 6.20/1.72 % (431890)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=3048823972: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)
% 6.20/1.72 % (431889)Instruction limit reached!
% 6.20/1.72 % (431889)------------------------------
% 6.20/1.72 % (431889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.72 % (431889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.72 % (431889)CaDiCaL version: 2.1.3
% 6.20/1.72 % (431889)Termination reason: Instruction limit
% 6.20/1.72 % (431889)Termination phase: Saturation
% 6.20/1.72 % (431889)Time elapsed: 0.066 s
% 6.20/1.72 % (431889)Peak memory usage: 89 MB
% 6.20/1.72 % (431889)Instructions burned: 218 (million)
% 6.20/1.72 % (431922)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=4152516582:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/12125Mi)
% 6.20/1.72 % (431874)Also succeeded, but the first one will report.
% 6.20/1.72 % (431890)Instruction limit reached!
% 6.20/1.72 % (431890)------------------------------
% 6.20/1.72 % (431890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.72 % (431890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.72 % (431890)CaDiCaL version: 2.1.3
% 6.20/1.72 % (431890)Termination reason: Instruction limit
% 6.20/1.72 % (431890)Termination phase: Saturation
% 6.20/1.72 % (431890)Time elapsed: 0.171 s
% 6.20/1.72 % (431890)Peak memory usage: 90 MB
% 6.20/1.72 % (431890)Instructions burned: 319 (million)
% 6.20/1.72 % (431872)Refutation not found, incomplete strategy
% 6.20/1.72 % (431872)------------------------------
% 6.20/1.72 % (431872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.72 % (431872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.72 % (431872)CaDiCaL version: 2.1.3
% 6.20/1.72 % (431872)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.72 % (431872)Time elapsed: 0.615 s
% 6.20/1.72 % (431872)Peak memory usage: 127 MB
% 6.20/1.72 % (431872)Instructions burned: 910 (million)
% 6.20/1.72 % SZS status Satisfiable for theBenchmark
% 6.20/1.72 % SZS output start Saturation.
% See solution above
% 6.20/1.72 % SZS output start Definitions and Model Updates.
% 6.20/1.72 for all inputs,
% 6.20/1.72 define plus_ninf(X0) := impl(eq(s(X0),X0),eq2(btrue,bfalse))
% 6.20/1.72 % SZS output end Definitions and Model Updates.
% 6.20/1.72 % (431873)------------------------------
% 6.20/1.72 % (431873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.20/1.72 % (431873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.72 % (431873)CaDiCaL version: 2.1.3
% 6.20/1.72 % (431873)Termination reason: Satisfiable
% 6.20/1.72 % (431873)Time elapsed: 0.411 s
% 6.20/1.72 % (431873)Peak memory usage: 128 MB
% 6.20/1.72 % (431873)Instructions burned: 898 (million)
% 6.20/1.72 % (431873)------------------------------
% 6.20/1.72 % (431873)------------------------------
% 6.20/1.72 % (431848)Success in time 0.763 s
% 6.20/1.72 % Vampire exiting
%------------------------------------------------------------------------------