%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV573-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:19:00 PM UTC 2026
% Result : Unsatisfiable 2.61s 1.18s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1338,axiom,
! [X0] : c_Complex_Ocomplex_OComplex(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_RealVector_Oof__real(X0,tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__eq__cancel__iff2_2) ).
fof(f1339,plain,
! [X0] : c_RealVector_Oof__real(X0,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(reorient_equations,[],[f1338]) ).
fof(f1351,axiom,
! [X0,X1] :
( ~ class_RealVector_Oreal__algebra__1(X0)
| c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(X1,tc_RealDef_Oreal),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__real__of__nat__eq_0) ).
fof(f1352,plain,
! [X0,X1] :
( c_Nat_Osemiring__1__class_Oof__nat(X1,X0) = c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(X1,tc_RealDef_Oreal),X0)
| ~ class_RealVector_Oreal__algebra__1(X0) ),
inference(reorient_equations,[],[f1351]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1537,axiom,
class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1) ).
fof(f1843,plain,
( c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) != c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),tc_Complex_Ocomplex)
| ~ class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ),
inference(superposition,[],[f1361,f1352]) ).
fof(f1853,plain,
~ class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
inference(forward_subsumption_resolution,[],[f1843,f1339]) ).
fof(f1854,plain,
$false,
inference(forward_subsumption_resolution,[],[f1853,f1537]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV573-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 11:55:02 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.61/1.18 % (1877458)Input is clausal, will run a generic CNF schedule.
% 2.61/1.18 % (1877467)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4144848542:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.61/1.18 % (1877467)First to succeed.
% 2.61/1.18 % (1877467)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1877458"
% 2.61/1.18 % (1877468)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2933155692:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.61/1.18 % (1877466)lrs+10_1_sil=8000:sp=occurrence:random_seed=1530647229:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.61/1.18 % (1877469)dis-21_1_sil=8000:lcm=predicate:random_seed=1886992507:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.61/1.18 % (1877464)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2327516877:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.61/1.18 % (1877465)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2828044770:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.61/1.18 % (1877463)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=455773733:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.61/1.18 % (1877468)Also succeeded, but the first one will report.
% 2.61/1.18 % (1877469)Instruction limit reached!
% 2.61/1.18 % (1877469)------------------------------
% 2.61/1.18 % (1877469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.18 % (1877469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.18 % (1877469)CaDiCaL version: 2.1.3
% 2.61/1.18 % (1877469)Termination reason: Instruction limit
% 2.61/1.18 % (1877469)Termination phase: Saturation
% 2.61/1.18 % (1877469)Time elapsed: 0.070 s
% 2.61/1.18 % (1877469)Peak memory usage: 90 MB
% 2.61/1.18 % (1877469)Instructions burned: 118 (million)
% 2.61/1.18 % (1877466)Instruction limit reached!
% 2.61/1.18 % (1877466)------------------------------
% 2.61/1.18 % (1877466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.18 % (1877466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.18 % (1877466)CaDiCaL version: 2.1.3
% 2.61/1.18 % (1877466)Termination reason: Instruction limit
% 2.61/1.18 % (1877466)Termination phase: Saturation
% 2.61/1.18 % (1877466)Time elapsed: 0.071 s
% 2.61/1.18 % (1877466)Peak memory usage: 90 MB
% 2.61/1.18 % (1877466)Instructions burned: 107 (million)
% 2.61/1.18 % (1877467)Refutation found. Thanks to Tanya!
% 2.61/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.61/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.18 % (1877467)------------------------------
% 2.61/1.18 % (1877467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.18 % (1877467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.18 % (1877467)CaDiCaL version: 2.1.3
% 2.61/1.18 % (1877467)Termination reason: Refutation
% 2.61/1.18 % (1877467)Time elapsed: 0.013 s
% 2.61/1.18 % (1877467)Peak memory usage: 89 MB
% 2.61/1.18 % (1877467)Instructions burned: 36 (million)
% 2.61/1.18 % (1877467)------------------------------
% 2.61/1.18 % (1877467)------------------------------
% 2.61/1.18 % (1877458)Success in time 0.32 s
% 2.61/1.18 % Vampire exiting
%------------------------------------------------------------------------------