%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV633-1 : 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 : n011.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 0.20s 0.34s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 13 unt; 0 def)
% Number of atoms : 15 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 7 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f149,axiom,
! [X0] : c_Int_Onumber__class_Onumber__of(X0,tc_Int_Oint) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_number__of__is__id_0) ).
fof(f1626,axiom,
! [X0] :
( ~ class_Int_Onumber__ring(X0)
| c_HOL_Oone__class_Oone(X0) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comp__arith_I110_J_0) ).
fof(f1690,axiom,
! [X2,X0,X1] : c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__mult__assoc_0) ).
fof(f1716,axiom,
! [X0,X1] : c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__mult__commute_0) ).
fof(f1723,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(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),v_j,tc_nat),tc_nat),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),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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1816,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber__ring) ).
fof(f2319,plain,
c_HOL_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_Int_Oint),
inference(resolution,[],[f1626,f1816]) ).
fof(f2321,plain,
c_Int_OBit1(c_Int_OPls) = c_HOL_Oone__class_Oone(tc_Int_Oint),
inference(forward_demodulation,[],[f2319,f149]) ).
fof(f2326,plain,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),v_j,tc_nat),tc_nat),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_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),tc_nat),tc_Complex_Ocomplex),
inference(superposition,[],[f1723,f2321]) ).
fof(f2332,plain,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),v_j,tc_nat),tc_nat),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_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(v_i,v_j,tc_nat),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),tc_nat),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f2326,f1716]) ).
fof(f2333,plain,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),v_j,tc_nat),tc_nat),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_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),v_m,tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(v_j,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),tc_nat),tc_nat),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f2332,f1690]) ).
fof(f2334,plain,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(v_m,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),v_j,tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(v_m,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(v_j,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),tc_nat),tc_nat),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f2333,f1716]) ).
fof(f2335,plain,
c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(v_m,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(v_j,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),tc_nat),tc_nat),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(c_HOL_Otimes__class_Otimes(v_m,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),tc_nat)),c_HOL_Otimes__class_Otimes(v_i,c_HOL_Otimes__class_Otimes(v_j,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_HOL_Oone__class_Oone(tc_Int_Oint)),tc_nat),tc_nat),tc_nat),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f2334,f1716]) ).
fof(f2336,plain,
$false,
inference(trivial_inequality_removal,[],[f2335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV633-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 12:06:49 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.20/0.34 % (3348252)Will run a generic schedule for satisfiability detection.
% 0.20/0.34 % (3348263)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3722880233:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.34 % (3348258)% WARNING: option uhcvi not known.
% 0.20/0.34 % (3348257)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=481977844_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.34 % (3348259)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2629832453:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.34 % (3348258)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3242891798:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.34 % (3348260)dis+10_1_sil=32000:sp=arity:random_seed=4137931218:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.34 % (3348261)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2887112076:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.34 % (3348262)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1838070219:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.34 % (3348263)Instruction limit reached!
% 0.20/0.34 % (3348263)------------------------------
% 0.20/0.34 % (3348263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (3348263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (3348263)CaDiCaL version: 2.1.3
% 0.20/0.34 % (3348263)Termination reason: Instruction limit
% 0.20/0.34 % (3348263)Termination phase: Saturation
% 0.20/0.34 % (3348263)Time elapsed: 0.061 s
% 0.20/0.34 % (3348263)Peak memory usage: 15 MB
% 0.20/0.34 % (3348263)Instructions burned: 168 (million)
% 0.20/0.34 % (3348262) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3348252-3348262"...
% 0.20/0.34 % (3348261) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3348252-3348261"...
% 0.20/0.34 % (3348262)...printing done.
% 0.20/0.34 % (3348261)...printing done.
% 0.20/0.34 % (3348261)Refutation found. Thanks to Tanya!
% 0.20/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.34 % (3348261)------------------------------
% 0.20/0.34 % (3348261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (3348261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (3348261)CaDiCaL version: 2.1.3
% 0.20/0.34 % (3348261)Termination reason: Refutation
% 0.20/0.34 % (3348261)Time elapsed: 0.058 s
% 0.20/0.34 % (3348261)Peak memory usage: 14 MB
% 0.20/0.34 % (3348261)Instructions burned: 97 (million)
% 0.20/0.34 % (3348252)Success in time 0.121 s
% 0.20/0.34 % Vampire exiting
%------------------------------------------------------------------------------