%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV821-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 01:26:29 PM UTC 2026
% Result : Unsatisfiable 0.56s 0.25s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 8 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1442,axiom,
! [X0] : c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__neq__Zero_0) ).
fof(f1518,axiom,
! [X2,X3,X0,X1] :
( X0 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X0,X2,X3))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I6_J_0) ).
fof(f1519,plain,
! [X2,X3,X0,X1] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,X0,X3)
| c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X1,X0,X2,X3)) = X0 ),
inference(reorient_equations,[],[f1518]) ).
fof(f1544,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f4596,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(v_pn,c_HOL_Ozero__class_Ozero(tc_nat),v_xa,v_xb)),
inference(resolution,[],[f1519,f1544]) ).
fof(f4713,plain,
$false,
inference(forward_subsumption_resolution,[],[f4596,f1442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV821-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 12:38:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.13 Running first-order model finding
% 0.08/0.13 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.25 % (3352397)Will run a generic schedule for satisfiability detection.
% 0.56/0.25 % (3352403)% WARNING: option uhcvi not known.
% 0.56/0.25 % (3352402)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=590504553_2999 on theBenchmark for (2999ds/0Mi)
% 0.56/0.25 % (3352403)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3463481701:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.56/0.25 % (3352404)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=810069914:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.56/0.25 % (3352405)dis+10_1_sil=32000:sp=arity:random_seed=2397173839:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.56/0.25 % (3352406)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3398805207:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.56/0.25 % (3352407)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3541420073:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.56/0.25 % (3352408)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1890679833:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.56/0.25 % (3352405)Instruction limit reached!
% 0.56/0.25 % (3352405)------------------------------
% 0.56/0.25 % (3352405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.25 % (3352405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.25 % (3352405)CaDiCaL version: 2.1.3
% 0.56/0.25 % (3352405)Termination reason: Instruction limit
% 0.56/0.25 % (3352405)Termination phase: Saturation
% 0.56/0.25 % (3352405)Time elapsed: 0.034 s
% 0.56/0.25 % (3352405)Peak memory usage: 13 MB
% 0.56/0.25 % (3352405)Instructions burned: 103 (million)
% 0.56/0.25 % (3352406)Instruction limit reached!
% 0.56/0.25 % (3352406)------------------------------
% 0.56/0.25 % (3352406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.25 % (3352406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.25 % (3352406)CaDiCaL version: 2.1.3
% 0.56/0.25 % (3352406)Termination reason: Instruction limit
% 0.56/0.25 % (3352406)Termination phase: Saturation
% 0.56/0.25 % (3352406)Time elapsed: 0.039 s
% 0.56/0.25 % (3352406)Peak memory usage: 14 MB
% 0.56/0.25 % (3352406)Instructions burned: 117 (million)
% 0.56/0.25 % (3352407)Instruction limit reached!
% 0.56/0.25 % (3352407)------------------------------
% 0.56/0.25 % (3352407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.25 % (3352407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.25 % (3352407)CaDiCaL version: 2.1.3
% 0.56/0.25 % (3352407)Termination reason: Instruction limit
% 0.56/0.25 % (3352407)Termination phase: Saturation
% 0.56/0.25 % (3352407)Time elapsed: 0.044 s
% 0.56/0.25 % (3352407)Peak memory usage: 14 MB
% 0.56/0.25 % (3352407)Instructions burned: 131 (million)
% 0.56/0.25 % (3352416)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2946199648:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.56/0.25 % TRYING [1]
% 0.56/0.25 % (3352417)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=728707407:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.56/0.25 % TRYING [2]
% 0.56/0.25 % (3352408)Instruction limit reached!
% 0.56/0.25 % (3352408)------------------------------
% 0.56/0.25 % (3352408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.25 % (3352408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.25 % (3352408)CaDiCaL version: 2.1.3
% 0.56/0.25 % (3352408)Termination reason: Instruction limit
% 0.56/0.25 % (3352408)Termination phase: Saturation
% 0.56/0.25 % (3352408)Time elapsed: 0.054 s
% 0.56/0.25 % (3352408)Peak memory usage: 14 MB
% 0.56/0.25 % (3352408)Instructions burned: 159 (million)
% 0.56/0.25 % (3352418)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=124344937:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.56/0.25 % (3352403) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3352397-3352403"...
% 0.56/0.25 % (3352403)...printing done.
% 0.56/0.25 % (3352403)Refutation found. Thanks to Tanya!
% 0.56/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.56/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.25 % (3352403)------------------------------
% 0.56/0.25 % (3352403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.25 % (3352403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.25 % (3352403)CaDiCaL version: 2.1.3
% 0.56/0.25 % (3352403)Termination reason: Refutation
% 0.56/0.25 % (3352403)Time elapsed: 0.067 s
% 0.56/0.25 % (3352403)Peak memory usage: 15 MB
% 0.56/0.25 % (3352403)Instructions burned: 186 (million)
% 0.56/0.25 % (3352397)Success in time 0.113 s
% 0.56/0.25 % Vampire exiting
%------------------------------------------------------------------------------