%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG382-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 09:19:54 AM UTC 2026
% Result : Unsatisfiable 2.60s 0.89s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 1 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 : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 1 ( 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1023,axiom,
! [X0] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__1_0) ).
fof(f1046,axiom,
c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1047,negated_conjecture,
~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1212,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(v_da____,c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(superposition,[],[f1047,f1023]) ).
fof(f1356,plain,
$false,
inference(forward_subsumption_resolution,[],[f1046,f1212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG382-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:14:33 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.60/0.89 % (189202)Input is clausal, will run a generic CNF schedule.
% 2.60/0.89 % (189271)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=58776955:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.60/0.89 % (189267)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2206444178:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.60/0.89 % (189269)lrs+10_1_sil=8000:sp=occurrence:random_seed=1338268378:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.60/0.89 % (189270)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4126273450:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.60/0.89 % (189266)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=2692233329:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.60/0.89 % (189272)dis-21_1_sil=8000:lcm=predicate:random_seed=1362036477: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)
% 2.60/0.89 % (189268)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3634764579:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.60/0.89 % (189271)First to succeed.
% 2.60/0.89 % (189271)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-189202"
% 2.60/0.89 % (189269)Also succeeded, but the first one will report.
% 2.60/0.89 % (189272)Instruction limit reached!
% 2.60/0.89 % (189272)------------------------------
% 2.60/0.89 % (189272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.89 % (189272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.89 % (189272)CaDiCaL version: 2.1.3
% 2.60/0.89 % (189272)Termination reason: Instruction limit
% 2.60/0.89 % (189272)Termination phase: Saturation
% 2.60/0.89 % (189272)Time elapsed: 0.057 s
% 2.60/0.89 % (189272)Peak memory usage: 89 MB
% 2.60/0.89 % (189272)Instructions burned: 118 (million)
% 2.60/0.89 % (189270)Instruction limit reached!
% 2.60/0.89 % (189270)------------------------------
% 2.60/0.89 % (189270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.89 % (189270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.89 % (189270)CaDiCaL version: 2.1.3
% 2.60/0.89 % (189270)Termination reason: Instruction limit
% 2.60/0.89 % (189270)Termination phase: Saturation
% 2.60/0.89 % (189270)Time elapsed: 0.075 s
% 2.60/0.89 % (189270)Peak memory usage: 89 MB
% 2.60/0.89 % (189270)Instructions burned: 114 (million)
% 2.60/0.89 % (189271)Refutation found. Thanks to Tanya!
% 2.60/0.89 % SZS status Unsatisfiable for theBenchmark
% 2.60/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 2.60/0.89 % (189271)------------------------------
% 2.60/0.89 % (189271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/0.89 % (189271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.89 % (189271)CaDiCaL version: 2.1.3
% 2.60/0.89 % (189271)Termination reason: Refutation
% 2.60/0.89 % (189271)Time elapsed: 0.013 s
% 2.60/0.89 % (189271)Peak memory usage: 89 MB
% 2.60/0.89 % (189271)Instructions burned: 42 (million)
% 2.60/0.89 % (189271)------------------------------
% 2.60/0.89 % (189271)------------------------------
% 2.60/0.89 % (189202)Success in time 0.351 s
% 2.60/0.89 % Vampire exiting
%------------------------------------------------------------------------------