%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV255-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:20:36 PM UTC 2026
% Result : Unsatisfiable 0.56s 0.43s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 15 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3389,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
fof(f3390,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
| c_lessequals(X0,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
fof(f3391,negated_conjecture,
! [X0] : c_lessequals(X0,v_xb(X0),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3392,negated_conjecture,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_x,X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3393,negated_conjecture,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_xa,X0,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3394,negated_conjecture,
! [X0] :
( c_in(c_Message_Omsg_ONonce(v_xb(X0)),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xb(X0)),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f4706,plain,
! [X0] :
( c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_x,X0,tc_nat) ),
inference(consistent_polarity_flipping,[],[f3392]) ).
fof(f4707,plain,
! [X0] :
( c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_xa,X0,tc_nat) ),
inference(consistent_polarity_flipping,[],[f3393]) ).
fof(f4708,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(v_xb(X0)),c_Message_Oparts(c_insert(v_msg2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(v_xb(X0)),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(consistent_polarity_flipping,[],[f3394]) ).
fof(f4720,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(v_xb(X0)),c_Message_Oparts(c_insert(v_msg1,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(v_xa,v_xb(X0),tc_nat) ),
inference(resolution,[],[f4708,f4707]) ).
fof(f4721,plain,
! [X0] :
( ~ c_lessequals(v_xa,v_xb(X0),tc_nat)
| ~ c_lessequals(v_x,v_xb(X0),tc_nat) ),
inference(resolution,[],[f4720,f4706]) ).
fof(f6853,plain,
! [X0,X1] : c_lessequals(X0,v_xb(c_plus(X1,X0,tc_nat)),tc_nat),
inference(resolution,[],[f3389,f3391]) ).
fof(f6859,plain,
! [X0] : ~ c_lessequals(v_x,v_xb(c_plus(X0,v_xa,tc_nat)),tc_nat),
inference(resolution,[],[f6853,f4721]) ).
fof(f6865,plain,
! [X0,X1] : c_lessequals(X0,v_xb(c_plus(X0,X1,tc_nat)),tc_nat),
inference(resolution,[],[f3390,f3391]) ).
fof(f6885,plain,
$false,
inference(resolution,[],[f6859,f6865]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV255-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.18 % Computer : n017.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 10:14:21 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22 Running first-order model finding
% 0.11/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.43 % (3454747)Will run a generic schedule for satisfiability detection.
% 0.56/0.43 % (3454754)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3235358218:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.56/0.43 % (3454753)% WARNING: option uhcvi not known.
% 0.56/0.43 % (3454752)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1748881169_2999 on theBenchmark for (2999ds/0Mi)
% 0.56/0.43 % (3454753)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3746729402:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.56/0.43 % (3454757)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2752270298:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.56/0.43 % (3454755)dis+10_1_sil=32000:sp=arity:random_seed=4041563244:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.56/0.43 % (3454756)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3286511928:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.56/0.43 % (3454758)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3419566122:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.56/0.43 % (3454755)Instruction limit reached!
% 0.56/0.43 % (3454755)------------------------------
% 0.56/0.43 % (3454755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (3454755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (3454755)CaDiCaL version: 2.1.3
% 0.56/0.43 % (3454755)Termination reason: Instruction limit
% 0.56/0.43 % (3454755)Termination phase: Saturation
% 0.56/0.43 % (3454755)Time elapsed: 0.063 s
% 0.56/0.43 % (3454755)Peak memory usage: 15 MB
% 0.56/0.43 % (3454755)Instructions burned: 104 (million)
% 0.56/0.43 % (3454756)Instruction limit reached!
% 0.56/0.43 % (3454756)------------------------------
% 0.56/0.43 % (3454756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (3454756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (3454756)CaDiCaL version: 2.1.3
% 0.56/0.43 % (3454756)Termination reason: Instruction limit
% 0.56/0.43 % (3454756)Termination phase: Saturation
% 0.56/0.43 % (3454756)Time elapsed: 0.065 s
% 0.56/0.43 % (3454756)Peak memory usage: 15 MB
% 0.56/0.43 % (3454756)Instructions burned: 117 (million)
% 0.56/0.43 % (3454757)Instruction limit reached!
% 0.56/0.43 % (3454757)------------------------------
% 0.56/0.43 % (3454757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (3454757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (3454757)CaDiCaL version: 2.1.3
% 0.56/0.43 % (3454757)Termination reason: Instruction limit
% 0.56/0.43 % (3454757)Termination phase: Saturation
% 0.56/0.43 % (3454757)Time elapsed: 0.076 s
% 0.56/0.43 % (3454757)Peak memory usage: 16 MB
% 0.56/0.43 % (3454757)Instructions burned: 131 (million)
% 0.56/0.43 % (3454766)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3115560236:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.56/0.43 % (3454767)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=622988193:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.56/0.43 % (3454753) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3454747-3454753"...
% 0.56/0.43 % (3454753)...printing done.
% 0.56/0.43 % (3454768)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2007639277:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.56/0.43 % (3454753)Refutation found. Thanks to Tanya!
% 0.56/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.56/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.43 % (3454753)------------------------------
% 0.56/0.43 % (3454753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (3454753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (3454753)CaDiCaL version: 2.1.3
% 0.56/0.43 % (3454753)Termination reason: Refutation
% 0.56/0.43 % (3454753)Time elapsed: 0.093 s
% 0.56/0.43 % (3454753)Peak memory usage: 16 MB
% 0.56/0.43 % (3454753)Instructions burned: 144 (million)
% 0.56/0.43 % (3454747)Success in time 0.2 s
% 0.56/0.43 % Vampire exiting
%------------------------------------------------------------------------------