%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n003.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 01:19:08 PM UTC 2026
% Result : Unsatisfiable 3.59s 1.20s
% Output : Refutation 3.59s
% 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(f444,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I33_J_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(f525,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
fof(f574,plain,
! [X0] : c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex) = X0,
inference(resolution,[],[f444,f525]) ).
fof(f581,plain,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),
inference(superposition,[],[f480,f574]) ).
fof(f582,plain,
$false,
inference(forward_subsumption_resolution,[],[f581,f505]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV629-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n003.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 12:06:42 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 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
% 3.59/1.20 % (1539938)Input is clausal, will run a generic CNF schedule.
% 3.59/1.20 % (1539943)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=3310984838:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.59/1.20 % (1539945)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3627300486:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.59/1.20 % (1539947)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2685954851:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.59/1.20 % (1539946)lrs+10_1_sil=8000:sp=occurrence:random_seed=2050353068:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.59/1.20 % (1539948)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=274408446:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.59/1.20 % (1539949)dis-21_1_sil=8000:lcm=predicate:random_seed=2119164775: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)
% 3.59/1.20 % (1539944)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2723598157:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.59/1.20 % (1539946)First to succeed.
% 3.59/1.20 % (1539946)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1539938"
% 3.59/1.20 % (1539947)Also succeeded, but the first one will report.
% 3.59/1.20 % (1539948)Also succeeded, but the first one will report.
% 3.59/1.20 % (1539949)Instruction limit reached!
% 3.59/1.20 % (1539949)------------------------------
% 3.59/1.20 % (1539949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.20 % (1539949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.20 % (1539949)CaDiCaL version: 2.1.3
% 3.59/1.20 % (1539949)Termination reason: Instruction limit
% 3.59/1.20 % (1539949)Termination phase: Saturation
% 3.59/1.20 % (1539949)Time elapsed: 0.060 s
% 3.59/1.20 % (1539949)Peak memory usage: 88 MB
% 3.59/1.20 % (1539949)Instructions burned: 118 (million)
% 3.59/1.20 % (1539957)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=466336078:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.59/1.20 % (1539957)Refutation not found, incomplete strategy
% 3.59/1.20 % (1539957)------------------------------
% 3.59/1.20 % (1539957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.20 % (1539957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.20 % (1539957)CaDiCaL version: 2.1.3
% 3.59/1.20 % (1539957)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.20 % (1539957)Time elapsed: 0.004 s
% 3.59/1.20 % (1539957)Peak memory usage: 88 MB
% 3.59/1.20 % (1539957)Instructions burned: 4 (million)
% 3.59/1.20 % (1539946)Refutation found. Thanks to Tanya!
% 3.59/1.20 % SZS status Unsatisfiable for theBenchmark
% 3.59/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.20 % (1539946)------------------------------
% 3.59/1.20 % (1539946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.20 % (1539946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.20 % (1539946)CaDiCaL version: 2.1.3
% 3.59/1.20 % (1539946)Termination reason: Refutation
% 3.59/1.20 % (1539946)Time elapsed: 0.006 s
% 3.59/1.20 % (1539946)Peak memory usage: 88 MB
% 3.59/1.20 % (1539946)Instructions burned: 7 (million)
% 3.59/1.20 % (1539946)------------------------------
% 3.59/1.20 % (1539946)------------------------------
% 3.59/1.20 % (1539938)Success in time 0.448 s
% 3.68/1.20 % Vampire exiting
%------------------------------------------------------------------------------