%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV634-1 : 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 : n004.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 01:26:10 PM UTC 2026
% Result : Unsatisfiable 5.09s 1.10s
% Output : Refutation 5.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1353,axiom,
! [X2,X0,X1] :
( c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X2,tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_root__cancel_0) ).
fof(f1507,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pos2_0) ).
fof(f1643,negated_conjecture,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_m),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2443,plain,
! [X2,X0,X1] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X1),X2,tc_Complex_Ocomplex) ),
inference(consistent_polarity_flipping,[],[f1353]) ).
fof(f2525,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_nat),
inference(consistent_polarity_flipping,[],[f1507]) ).
fof(f10421,plain,
! [X0,X1] : c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X1,tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X0,tc_nat)),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),X1,tc_nat),tc_Complex_Ocomplex),
inference(resolution,[],[f2443,f2525]) ).
fof(f10478,plain,
$false,
inference(backward_subsumption_resolution,[],[f1643,f10421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV634-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n004.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 12:06:52 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 5.09/1.10 % (310613)Will run a generic schedule for satisfiability detection.
% 5.09/1.10 % (310623)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=387905924:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.09/1.10 % (310619)% WARNING: option uhcvi not known.
% 5.09/1.10 % (310618)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1010339876_2999 on theBenchmark for (2999ds/0Mi)
% 5.09/1.10 % (310619)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4093351337:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.09/1.10 % (310620)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=515843539:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.09/1.10 % (310621)dis+10_1_sil=32000:sp=arity:random_seed=1640139282:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.09/1.10 % (310622)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=294532362:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.09/1.10 % (310624)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4047463097:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.09/1.10 % (310623)Instruction limit reached!
% 5.09/1.10 % (310623)------------------------------
% 5.09/1.10 % (310623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.10 % (310623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.10 % (310623)CaDiCaL version: 2.1.3
% 5.09/1.10 % (310623)Termination reason: Instruction limit
% 5.09/1.10 % (310623)Termination phase: Saturation
% 5.09/1.10 % (310623)Time elapsed: 0.043 s
% 5.09/1.10 % (310623)Peak memory usage: 14 MB
% 5.09/1.10 % (310623)Instructions burned: 132 (million)
% 5.09/1.10 % (310632)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1637272454:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.09/1.10 % (310621)Instruction limit reached!
% 5.09/1.10 % (310621)------------------------------
% 5.09/1.10 % (310621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.10 % (310621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.10 % (310621)CaDiCaL version: 2.1.3
% 5.09/1.10 % (310621)Termination reason: Instruction limit
% 5.09/1.10 % (310621)Termination phase: Saturation
% 5.09/1.10 % (310621)Time elapsed: 0.066 s
% 5.09/1.10 % (310621)Peak memory usage: 14 MB
% 5.09/1.10 % (310621)Instructions burned: 104 (million)
% 5.09/1.10 % (310622)Instruction limit reached!
% 5.09/1.10 % (310622)------------------------------
% 5.09/1.10 % (310622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.10 % (310622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.10 % (310622)CaDiCaL version: 2.1.3
% 5.09/1.10 % (310622)Termination reason: Instruction limit
% 5.09/1.10 % (310622)Termination phase: Saturation
% 5.09/1.10 % (310622)Time elapsed: 0.070 s
% 5.09/1.10 % (310622)Peak memory usage: 14 MB
% 5.09/1.10 % (310622)Instructions burned: 116 (million)
% 5.09/1.10 % (310634)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2545420047:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.09/1.10 % (310635)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3802515251:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.09/1.10 % (310624)Instruction limit reached!
% 5.09/1.10 % (310624)------------------------------
% 5.09/1.10 % (310624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.10 % (310624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.10 % (310624)CaDiCaL version: 2.1.3
% 5.09/1.10 % (310624)Termination reason: Instruction limit
% 5.09/1.10 % (310624)Termination phase: Saturation
% 5.09/1.10 % (310624)Time elapsed: 0.103 s
% 5.09/1.10 % (310624)Peak memory usage: 15 MB
% 5.09/1.10 % (310624)Instructions burned: 161 (million)
% 5.09/1.10 % (310638)ott-21_1_sil=16000:fs=off:random_seed=4066317540:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.09/1.10 % TRYING [1]
% 5.09/1.10 % TRYING [2]
% 5.09/1.10 % TRYING [1]
% 5.09/1.10 % (310634)Instruction limit reached!
% 5.09/1.10 % (310634)------------------------------
% 5.09/1.10 % (310634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.10 % (310634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.10 % (310634)CaDiCaL version: 2.1.3
% 5.09/1.10 % (310634)Termination reason: Instruction limit
% 5.09/1.10 % (310634)Termination phase: Saturation
% 5.09/1.10 % (310634)Time elapsed: 0.081 s
% 5.09/1.10 % (310634)Peak memory usage: 14 MB
% 5.09/1.10 % (310634)Instructions burned: 132 (million)
% 5.09/1.10 % TRYING [2]
% 5.09/1.10 % (310640)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=219433824:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.09/1.10 % TRYING [3]
% 5.09/1.10 % (310632)Instruction limit reached!
% 5.09/1.10 % (310632)------------------------------
% 5.09/1.10 % (310632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.10 % (310632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.10 % (310632)CaDiCaL version: 2.1.3
% 5.09/1.10 % (310632)Termination reason: Instruction limit
% 5.09/1.10 % (310632)Termination phase: Finite model building constraint generation
% 5.09/1.10 % (310632)Time elapsed: 0.167 s
% 5.09/1.10 % (310632)Peak memory usage: 33 MB
% 5.09/1.10 % (310632)Instructions burned: 716 (million)
% 5.09/1.10 % (310638)Instruction limit reached!
% 5.09/1.10 % (310638)------------------------------
% 5.09/1.10 % (310638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.10 % (310638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.10 % (310638)CaDiCaL version: 2.1.3
% 5.09/1.10 % (310638)Termination reason: Instruction limit
% 5.09/1.10 % (310638)Termination phase: Saturation
% 5.09/1.10 % (310638)Time elapsed: 0.096 s
% 5.09/1.10 % (310638)Peak memory usage: 14 MB
% 5.09/1.10 % (310638)Instructions burned: 181 (million)
% 5.09/1.10 % (310642)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=219796690:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 5.09/1.10 % (310643)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2331510481:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 5.09/1.10 % TRYING [3]
% 5.09/1.10 % TRYING [1]
% 5.09/1.10 % TRYING [2]
% 5.09/1.10 % (310642)Instruction limit reached!
% 5.09/1.10 % (310642)------------------------------
% 5.09/1.10 % (310642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.10 % (310642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.10 % (310642)CaDiCaL version: 2.1.3
% 5.09/1.10 % (310642)Termination reason: Instruction limit
% 5.09/1.10 % (310642)Termination phase: Finite model building SAT solving
% 5.09/1.10 % (310642)Time elapsed: 0.216 s
% 5.09/1.10 % (310642)Peak memory usage: 35 MB
% 5.09/1.10 % (310642)Instructions burned: 866 (million)
% 5.09/1.10 % (310646)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3704631875:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 5.09/1.10 % (310635)Instruction limit reached!
% 5.09/1.10 % (310635)------------------------------
% 5.09/1.10 % (310635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.10 % (310635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.10 % (310635)CaDiCaL version: 2.1.3
% 5.09/1.10 % (310635)Termination reason: Instruction limit
% 5.09/1.10 % (310635)Termination phase: Saturation
% 5.09/1.10 % (310635)Time elapsed: 0.385 s
% 5.09/1.10 % (310635)Peak memory usage: 18 MB
% 5.09/1.10 % (310635)Instructions burned: 684 (million)
% 5.09/1.10 % (310648)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2818157521:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 5.09/1.10 % (310640)Instruction limit reached!
% 5.09/1.10 % (310640)------------------------------
% 5.09/1.10 % (310640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.10 % (310640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.10 % (310640)CaDiCaL version: 2.1.3
% 5.09/1.10 % (310640)Termination reason: Instruction limit
% 5.09/1.10 % (310640)Termination phase: Saturation
% 5.09/1.10 % (310640)Time elapsed: 0.319 s
% 5.09/1.10 % (310640)Peak memory usage: 16 MB
% 5.09/1.10 % (310640)Instructions burned: 477 (million)
% 5.09/1.10 % (310650)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3148790763:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 5.09/1.10 % (310646)Instruction limit reached!
% 5.09/1.10 % (310646)------------------------------
% 5.09/1.10 % (310646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.10 % (310646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.10 % (310646)CaDiCaL version: 2.1.3
% 5.09/1.10 % (310646)Termination reason: Instruction limit
% 5.09/1.10 % (310646)Termination phase: Finite model building constraint generation
% 5.09/1.10 % (310646)Time elapsed: 0.241 s
% 5.09/1.10 % (310646)Peak memory usage: 85 MB
% 5.09/1.10 % (310646)Instructions burned: 891 (million)
% 5.09/1.10 % (310652)fmb+10_1_sil=64000:random_seed=626350265:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 5.09/1.10 % (310648) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-310613-310648"...
% 5.09/1.10 % (310648)...printing done.
% 5.09/1.10 % (310648)Refutation found. Thanks to Tanya!
% 5.09/1.10 % SZS status Unsatisfiable for theBenchmark
% 5.09/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 5.09/1.10 % (310648)------------------------------
% 5.09/1.10 % (310648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.10 % (310648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.10 % (310648)CaDiCaL version: 2.1.3
% 5.09/1.10 % (310648)Termination reason: Refutation
% 5.09/1.10 % (310648)Time elapsed: 0.258 s
% 5.09/1.10 % (310648)Peak memory usage: 17 MB
% 5.09/1.10 % (310648)Instructions burned: 391 (million)
% 5.09/1.10 % (310613)Success in time 0.856 s
% 5.09/1.10 % Vampire exiting
%------------------------------------------------------------------------------