%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV573-1 : 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 01:26:03 PM UTC 2026
% Result : Unsatisfiable 0.36s 0.28s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f918,axiom,
! [X0] : c_Complex_Ocomplex_OComplex(c_Complex_ORe(X0),c_Complex_OIm(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__surj_0) ).
fof(f1348,axiom,
! [X0] : c_RealVector_Oof__real(X0,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__of__real__def_0) ).
fof(f1355,axiom,
! [X0] : c_Complex_OIm(c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__Im__of__nat_0) ).
fof(f1356,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Complex_OIm(c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex)),
inference(reorient_equations,[],[f1355]) ).
fof(f1357,axiom,
! [X0] : c_Complex_ORe(c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex)) = c_Nat_Osemiring__1__class_Oof__nat(X0,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__Re__of__nat_0) ).
fof(f1361,negated_conjecture,
c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1627,plain,
! [X0] : c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_Complex_ORe(c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(superposition,[],[f918,f1356]) ).
fof(f1628,plain,
! [X0] : c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex) = c_RealVector_Oof__real(c_Complex_ORe(c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1627,f1348]) ).
fof(f1629,plain,
! [X0] : c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex) = c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(X0,tc_RealDef_Oreal),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1628,f1357]) ).
fof(f1680,plain,
c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),tc_Complex_Ocomplex),
inference(superposition,[],[f1361,f1348]) ).
fof(f1681,plain,
$false,
inference(forward_subsumption_resolution,[],[f1680,f1629]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV573-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.15 % Computer : n012.cluster.edu
% 0.07/0.15 % Model : x86_64 x86_64
% 0.07/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.15 % Memory : 8046.5625MB
% 0.07/0.15 % OS : Linux 6.8.0-71-generic
% 0.07/0.15 % CPULimit : 300
% 0.07/0.15 % WCLimit : 300
% 0.07/0.15 % DateTime : Mon Sep 28 11:54:50 UTC 2026
% 0.07/0.15 % CPUTime :
% 0.07/0.15 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 Running first-order model finding
% 0.07/0.17 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
% 0.36/0.28 % (3331718)Will run a generic schedule for satisfiability detection.
% 0.36/0.28 % (3331724)% WARNING: option uhcvi not known.
% 0.36/0.28 % (3331724)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2322041166:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.28 % (3331728)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2939967352:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.28 % (3331725)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1402418079:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.28 % (3331726)dis+10_1_sil=32000:sp=arity:random_seed=2396685301:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.28 % (3331727)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2615788976:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.28 % (3331723)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3734766193_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.28 % (3331729)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2173326362:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.28 % (3331727) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3331718-3331727"...
% 0.36/0.28 % (3331727)...printing done.
% 0.36/0.28 % (3331727)Refutation found. Thanks to Tanya!
% 0.36/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.36/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.28 % (3331727)------------------------------
% 0.36/0.28 % (3331727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.28 % (3331727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.28 % (3331727)CaDiCaL version: 2.1.3
% 0.36/0.28 % (3331727)Termination reason: Refutation
% 0.36/0.28 % (3331727)Time elapsed: 0.046 s
% 0.36/0.28 % (3331727)Peak memory usage: 14 MB
% 0.36/0.28 % (3331727)Instructions burned: 85 (million)
% 0.36/0.28 % (3331718)Success in time 0.093 s
% 0.36/0.28 % Vampire exiting
%------------------------------------------------------------------------------