%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV629-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 01:26:09 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 8 unt; 0 def)
% Number of atoms : 10 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f443,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__one__right_0) ).
fof(f479,axiom,
! [X0] : c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_root__unity_0) ).
fof(f480,plain,
! [X0] : c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X0,tc_Complex_Ocomplex),
inference(reorient_equations,[],[f479]) ).
fof(f504,negated_conjecture,
c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)) != c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f505,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),
inference(reorient_equations,[],[f504]) ).
fof(f536,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
fof(f715,plain,
! [X0] : c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = X0,
inference(resolution,[],[f443,f536]) ).
fof(f721,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),
inference(superposition,[],[f480,f715]) ).
fof(f722,plain,
$false,
inference(forward_subsumption_resolution,[],[f721,f505]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV629-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 12:05:22 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.29 % (1133432)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (1133437)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3077905681_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (1133438)% WARNING: option uhcvi not known.
% 0.20/0.29 % (1133438)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2951801825:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (1133442)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3830605137:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (1133439)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3267912624:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (1133443)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2135438633:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (1133440)dis+10_1_sil=32000:sp=arity:random_seed=742819161:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (1133441)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3360090836:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % TRYING [1]
% 0.20/0.29 % (1133440) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1133432-1133440"...
% 0.20/0.29 % (1133438) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1133432-1133438"...
% 0.20/0.29 % TRYING [2]
% 0.20/0.29 % (1133440)...printing done.
% 0.20/0.29 % (1133438)...printing done.
% 0.20/0.29 % (1133443) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1133432-1133443"...
% 0.20/0.29 % (1133440)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (1133440)------------------------------
% 0.20/0.29 % (1133440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (1133440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (1133440)CaDiCaL version: 2.1.3
% 0.20/0.29 % (1133440)Termination reason: Refutation
% 0.20/0.29 % (1133440)Time elapsed: 0.009 s
% 0.20/0.29 % (1133440)Peak memory usage: 11 MB
% 0.20/0.29 % (1133440)Instructions burned: 13 (million)
% 0.20/0.29 % (1133432)Success in time 0.058 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------